# G-DCF: Improving System Spectral Efficiency through Concurrent Transmissions in Wireless LANs

Authors: Ayinebyona Eliab; Yonghwi Kim; Joosang Lee; Jeong-Gun Lee; Jungmin So
Journal: Wireless Communications and Mobile Computing
 (2019)

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## Abstract

This paper presents G-DCF, a MAC protocol for wireless LANs that can improve system spectral efficiency of wireless LANs by allowing more concurrent transmissions. The 802.11 DCF creates exposed terminals which are nodes that can transmit successfully but are blocked by carrier sensing. More potential exposed terminals are created when APs are densely placed, limiting spatial reuse of channels and thus system throughput. In order to allow concurrent transmissions from exposed terminals, G-DCF establishes groups in the network. Members of a group are nodes located within the carrier sense range of each other but can transmit packets concurrently. Whenever one member of a group wins the channel and transmits its packet, other nodes in the group also start transmission, triggered by the group ID included in the preamble. Contention window is adjusted according to the group size for fair share of the channel. Performance evaluations show that G-DCF can significantly improve system throughput and fairness over 802.11 DCF, especially when the APs are densely deployed.


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## Body

## 1. Introduction

In IEEE 802.11 distributed coordination function (DCF), the exposed terminal problem is one of the factors that degrades system spectral efficiency [1]. When a node has a packet to transmit, it first listens to the channel to detect any ongoing transmissions. If the node senses a signal (or multiple signals) and the signal strength is higher than a predetermined threshold called carrier sense threshold (CST), the node decides the channel is busy and defers its transmission in order to avoid packet collision. CST is a tunable parameter, which decides how aggressively a node transmits its packets. If CST is low, a node will defer its transmission even at a very weak signal. Sometimes a node may unnecessarily defer its transmission even when the transmission will not cause a packet collision. This is called the exposed terminal problem because the sender is “exposed” to interference while its receiver is not.Consider the scenario in Figure1. Suppose APX is transmitting a packet to node A. If APY concurrently transmits its packet to B, its signal will become interference at node A. However, since node A is located far away from APY, the packet can successfully be decoded in spite of the interference. Nevertheless, when APX is transmitting, APY will sense the channel as busy and defer its transmission, resulting in waste of channel resource.Figure 1
An example network scenario. Nodes A and C are associated with APX, while node B is associated with APY.If APY increases its CST, it may be able to transmit its packet simultaneously to APX. However, increasing CST aggravates the hidden terminal problem, which is also harmful for system performance. A hidden terminal is a node which senses the channel as idle but can cause packet collisions when it transmits a packet. In Figure 1, suppose APX is transmitting to node C instead of node A. In this case, if APY transmits concurrently, node C will experience high interference and therefore fail to receive its packet. This scenario shows the limitation of adjusting CST to mitigate hidden and exposed terminal problems.The main problem of carrier sensing-based medium access control is that while the channel condition at the receiver decides successful reception, the sender determines whether to transmit or not based on the channel condition at its vicinity. APY does not know where node B is, and how close it is located to the interferer. Moreover, APY does not know if its signal will destroy the current transmission of APX at node A, which is possible if it is closely located to node A. Due to this lack of information, APX and APY cannot transmit concurrently even though it is safe for both nodes to transmit.In this paper, we propose an extension to 802.11 DCF called G-DCF (group DCF), where potential exposed terminals are grouped together so that they can transmit simultaneously and thus achieve higher system spectral efficiency. In G-DCF, nodes that can safely transmit concurrently are grouped together. If node A and node B are in the same group, they share a group ID. If node A wins the channel through contention and transmits a packet, it includes its group ID in the preamble. When node B receives the preamble and finds out that the group ID included in the preamble is the same as its group ID, the node can begin transmission concurrently, if the channel was idle before receiving A’s preamble. Using simulations, we show that this simple idea can significantly improve system throughput, especially when the density of APs is high. Also, G-DCF also improves fairness over conventional 802.11 DCF by reducing the number of contenders from individual nodes to groups of nodes.Rest of the paper is organized as follows: Section2 discusses existing work that addresses the exposed terminal problem. Section 3 discusses the impact of exposed terminal problem on system throughput through a simple experiment and motivates the idea of grouping the nodes. Section 4 presents the details of the proposed protocol, G-DCF. Section 5 evaluates performance of G-DCF through extensive simulations, comparing with other existing protocols. Finally, Section 6 concludes the paper with remarks for future work.


## 2. Related Work

Improving system spectral efficiency has become an important issue in present day wireless LANs due to high traffic demand and increasing density of APs and mobile stations. The new wireless LAN standard IEEE 802.11ax particularly focuses on this issue and includes techniques such as BSS coloring [2]. The purpose of these techniques is to allow more concurrent transmissions in a given area, thereby increasing spatial reuse. The carrier sensing-based channel access method of IEEE 802.11 DCF was a great success and has been used in wireless LANs until this day, but its system spectral efficiency is significantly limited due to the hidden and exposed terminal problems. In practical wireless LANs, the exposed terminal problem is shown to be more prevalent than the hidden terminal problem [3].As discussed earlier, CST is an important parameter which decides the aggressiveness of nodes in terms of packet transmission. More hidden terminals are created if CST is higher, and more exposed terminals are created if CST is lower. Naturally, the choice of CST has a significant impact on the system performance [4]. Many proposals have been made in which the CST is dynamically adjusted to achieve the best performance [5, 6]. However, since alleviating one problem aggravates another, there is a limit to how much we can achieve by adjusting the CST (we show that through a simple experiment in the next section).Another approach to address the exposed terminal problem (without aggravating the hidden terminal problem) is to identify potential exposed terminals and make them transmit concurrently even if they sense the channel busy. Vutukuru et al. [7] proposed to use CMAP (conflict MAP), which records information on whether a node should defer transmission when it overhears a packet traveling from a source to a destination. The CMAP is constructed by each node observing packet collisions and is passed to its one-hop neighbors. Whenever a node overhears a packet, it looks up the CMAP and decides whether it should defer its transmission or not. C-MAC [8] is a MAC protocol for wireless sensor networks (WSNs) that uses SNR measurements to find out whether two nodes can successfully transmit simultaneously. By measuring received signal strength from neighboring nodes at offline, nodes can estimate whether the packets can successfully be decoded at their receivers when multiple nodes transmit simultaneously. When a node wants to transmit a packet, it first overhears the ongoing transmission and finds out the sender, receiver, and the transmit power. Then, based on the offline measurements, the node decides whether it can safely send its packet concurrently with the ongoing packet.CSMA/OCA [9] uses request tosend (RTS) and clear to send (CTS) messages to identify hidden and exposed terminals. Before sending a packet, the node overhears RTS and CTS packets sent by other nodes. If no CTS was overheard and the destination of every RTS overheard is not a neighboring node, the node is in the exposed terminal position and can transmit its packet concurrently with the ongoing packet. Yao et al. [10] proposed IRMA, which addresses control packet collisions that can occur when exposed terminals transmit concurrently. While packets transmitted from two exposed terminals may successfully be received at their respective receivers, CTS and acknowledgment (ACK) frames sent back from the receivers may experience too much interference at the senders. In order to increase reliability of receiving those frames, IRMA encodes essential information into signatures which can be more reliably decoded in the presence of high interference. Wang et al. [11] proposed FAST, a system which uses full-duplex capability to address the exposed terminal problem. All senders, receivers, and victims (nodes interfered by the transmission) send “attachment” codes to signal their status. When a node wants to transmit a packet, it collects the attachment codes from the neighborhood and decides whether its transmission will cause collisions.Concurrent-MAC [12] uses a centralized approach to identify exposed terminals, where nodes measure signal strengths from neighbors and report to the central server, and the server computes which nodes can transmit concurrently. Whenever a node transmits, it selects one of its neighboring nodes as a “privileged node” who can transmit concurrently with the node and includes its ID in the header. When the privileged node overhears the header, it can begin transmission immediately. A dynamic sensitivity control (DSC) algorithm [13] was proposed to be incorporated into IEEE 802.11ax, where nodes independently and dynamically select CST based on the received signal strength index (RSSI) between the sender and the receiver. The main idea of DSC is that a mobile station located close to its access point (AP) can use a high CST because it can tolerate high interference at the receiver. On the contrary, a mobile station located far away from its AP should use a low CST in order to protect itself from packet collisions.Other existing works on the exposed terminal problem include changing parameters other than the carrier sense threshold such as transmit power [14] and modulation and coding scheme (MCS) [15]. Also, special hardware can be used to address the problem, such as directional antenna [16].The proposed protocol, G-DCF, adapts ideas from existing works such as C-MAC [8] and concurrent-MAC [12] in which concurrently transmittable nodes are identified through SNR measurements. However, unlike the other protocols, G-DCF removes the need to read the MAC header from packets on the fly, by precalculating groups and including group ID in the signal field of the preamble. Since the MAC header is often modulated using MCS for high data rate, it requires higher SNR to decode the MAC header and find out whether a concurrent transmission is possible. In contrast, the signal field of preamble is transmitted at a low data rate, making it more reliable for nodes to receive the information. Also, since preamble comes before the MAC header, a node can quickly find out whether it can concurrently transmit or not, compared to waiting for the MAC header. Compared to other existing works, G-DCF does not require special hardware such as directional antenna or full-duplex capability, and special control messages such as RTS and CTS.


## 3. Preliminaries

The main idea of G-DCF is to group nodes that are potentially “exposed” to each other, so they can transmit together as a group. In this section, we discuss whether the idea of grouping nodes can potentially improve the spatial reuse of a wireless LAN system. We have implemented a simple simulator using Python, which simulates a network environment shown in Figure2. In the scenario, APs are placed in a grid shape and mobile stations are randomly deployed in the area. Once deployed, each mobile node associates with the nearest AP. We assume all mobile stations have downlink traffic to receive from their APs, so APs constantly try to win access to the channel and send their packets. We are interested in how many packets can be successfully received at their receivers, when the packets are transmitted concurrently.Figure 2
Environment for the simulation experiment. APs are placed in a grid shape, and mobile stations are randomly placed in a square-shaped area.Under this environment, we model the behavior of 802.11 DCF as follows. Time is divided into “rounds.” In each round, a mobile station is randomly chosen, and its associated AP transmits a packet to the mobile station. Once the AP transmits a packet, other APs that are in the vicinity of the transmitter will sense the channel busy, if the signal strength of the ongoing transmission is higher than CST. APs that sense the channel busy are “blocked” cannot concurrently transmit in that particular round. If there remain APs that are not blocked yet, one of the mobile stations that are associated with those APs is randomly selected, so that the corresponding AP can transmit concurrently with the ongoing transmission. This process is repeated, until there is no AP left that can transmit concurrently in that round. Once the set of transmitters are decided, we determine whether their transmissions will successfully be received at their receivers. We count the number of packets successfully received in each round.We assume that all nodes transmit packets at a transmit power of 20 dBm. The received signal strength is calculated using the log-distance path loss model, which uses equation (1). In the equation, the reference distance (d0) is 1 m and the reference path loss (PL0) is 46.67 dBm. The path loss exponent (γ) is 3, and the random variable that models fading (Xg) is 0. These parameter values are adopted from default parameters used in the ns-3 simulator [17]:(1)Pr=Pt−PL0+10γlog10dd0+Xg.At each receiver, SNR is calculated using equation (2). In the equation, the noise floor (Nf) is −93.97 dBm, which is also a value used in the ns-3 simulator. We decide the packet is successfully received if the SNR is larger than 23 dB, which is an SNR value required to decode a packet sent at 54 Mbps data rate:(2)SNR=PS∑PI+Nf.We also model a protocol called “Ideal,” where nodes magically know whether they can concurrently transmit with the ongoing transmission or not. In each round, a mobile station is randomly chosen, and its associated AP transmits a packet to the mobile station. Once the AP transmits a packet, only the nodes that cannot transmit together with the ongoing transmission are blocked. So in the Ideal protocol, exposed terminals are not blocked by the transmission, whereas the hidden terminals are blocked. Then, among unblocked nodes, another transmission is randomly chosen and added to the list of concurrent transmissions in that round.In the experiment, we measured the average number of successful transmission per round for DCF (with various CSTs) and the Ideal protocol. We also measured Jain’s fairness index [18] in order to see how the channel resource is shared among the nodes. We have varied the number of APs, while fixing the size of simulation area at 80 m × 80 m and the number of mobile stations at 20. We ran each simulation for 1000 rounds, and each point in the graph is an average of 100 runs with different topology and random number generator seed. The result is shown in Figure 3.Figure 3
Average number of concurrent transmissions and fairness varying number of APs. (a) Throughput. (b) Fairness.
(a)
(b)First, we look at 802.11 DCF. When CST is −92 dBm, the average number of concurrent transmissions is 1 regardless of the number of APs. This means that when one node transmits, the entire area is blocked by the carrier sensing. When CST is increased to −82 dBm and −72 dBm, the number of concurrent transmissions increases due to increased spatial reuse. The number of concurrent transmissions also increases with the number of APs, but after a certain point, it remains the same. This means that even if the APs are densely deployed, the throughput of DCF is limited by the CST. When the CST becomes even higher, the transmissions are affected by hidden terminals. The number of concurrent transmissions is smaller when CST is −52 dBm compared to when CST is −62 dBm because hidden terminals cause packet collisions. Compared with DCF, the Ideal protocol knows the exposed and hidden terminals can send more concurrent packets successfully. From Figure3(a), it seems that the performance of Ideal is similar to that of DCF with CST equal to −62 dBm. However, from Figure 3(b), it can be observed that the fairness of DCF with CST = −62 dBm is much lower than Ideal. This is because for DCF with CST = −62 dBm, only the nodes that are very close to the destination can send packets, whereas other nodes fail to transmit due to hidden terminals. On the contrary, the fairness of Ideal is very high, meaning that nodes that are far away from their destinations have more chance of sending their packets successfully. In summary, if the hidden terminals and exposed terminals are known, the system can achieve higher throughput and fairness compared to the original 802.11 DCF.The proposed protocol, G-DCF, models the Ideal protocol by identifying exposed terminals through signal strength measurements. In order to avoid hidden terminals, a low CST is used. Then, the identified exposed terminals are grouped together so that they can transmit their packets together. Note that, in the above experiment, we did not model the behavior of backoff countdown in DCF. In practice, simultaneous transmissions could happen due to multiple nodes finishing their backoff at the same time. With more nodes in the network, this “backoff collision” could occur more frequently, affecting the system performance. In order to model protocol behaviors more accurately, we use the ns-3 simulator [17] to conduct performance evaluations in Section 5. In the next section, we describe the details of G-DCF.


## 4. Proposed Protocol: G-DCF

### 4.1. Group Formation

We assume that a group of APs deployed in a region collaborates with each other and can exchange messages through wired interface. There could be a central coordinator, or one of the APs could become the leader and coordinate the entire group of APs. When a mobile station is associated with one of the APs, two group IDs are assigned for this mobile station: one for downlink and one for uplink. Initially, all group IDs are zeroes meaning that the DL and UL of mobile stations do not belong to any group.In order to operate G-DCF, each mobile station maintains RSSI of neighboring APs, including its associated AP. Whenever a mobile station receives a beacon, it updates the RSSI of the AP by calculating the exponential moving average (EMA) of the RSSI. Also, each mobile station keeps track of how much uplink traffic it has to send to the AP. The traffic information is required because a node does not need to be in a group if it does not have any downlink or uplink traffic. When a mobile station associates with an AP, it sends the RSSI and the traffic information to the AP. When the APs receive the information from the mobile stations, they forward the information to the coordinator. Also, each AP sends how much downlink traffic it has for each associated mobile station. There are various ways of measuring traffic demand, but we use the ratio of time packets that are backlogged in the queue. For example, suppose the measure period is 60 seconds. If APX has a packet destined for node C in its transmit queue for 30 seconds in the 60-second period, the downlink traffic demand of node C is 50%. Also, if node A has a packet in its transmit queue for 45 seconds during that 60-second period, the uplink traffic demand of node A is 70%. If the traffic demand exceeds a certain threshold, the downlink or uplink of a mobile station could be included in a group. The coordinator maintains tables similar to Figures 4(a) and 4(b), in order to manage the groups. Note that, in real implementation, node labels such as A, B, C, APX, and APY are replaced by MAC addresses. In the mobile station table, the value of “traffic” field is 0 if the traffic demand is less than the threshold and 1 if the traffic demand is higher than the threshold. The AP RSSI table records signal strength of beacons between the APs.Figure 4
Tables maintained at the coordinator records the information of each (a) mobile station table and (b) AP RSSI table.
(a)
(b)Once the coordinator gathers information from the APs, it starts calculating the groups. The algorithm for establishing groups is a greedy-style algorithm, in which a node tries to join the “best” group for DL and UL. The algorithm is illustrated using a flow diagram in Figure5. Note that DL and UL of a mobile station are considered separately; we can think of DL and UL of a mobile station as two different mobile stations. Also, only mobile stations with high traffic demand are considered in group formation. If a DL or a UL of a mobile station has no traffic, its group ID becomes zero. In the flow diagram of Figure 5, the mobile stations considered in the algorithms are stations with high traffic demand.Figure 5
Flow diagram of the group formation algorithm.For clarity, let us assume all mobile stations only have downlink traffic demand. The coordinator randomly picks a mobile stationi, in order to see if node i can join another group. To do that, the coordinator picks another mobile station j. Now, the coordinator checks the following six conditions before deciding to include node i in the same group as node j:(1)
If nodei and node j are in the same Basic Service Set (BSS) (associated with the same AP), they cannot be in the same group.(2)
If nodei and node j are already in the same group, then no work needs to be done.(3)
If the senders of nodei and node j (APs in the downlink case) are outside the carrier sensing range, then they do not need to be in the same group.(4)
If nodei is already in a group, then we compare the size of i’s group (Si) and the size of j’s group (Sj). If Si>Sj+1, then i does not move to j’s group.(5)
IfSi=Sj+1, we compare the minimum SNR of nodes for the case where i stays in its group and the case where i moves to j’s group. If the minimum SNR is not increased, then i does not move to j’s group.(6)
If nodei joins j’s group, the nodes in j’s group should be able to concurrently transmit together. If this is verified through SNR calculation, node i joins j’s group.The first condition is obvious because two mobile stations connected to the same AP cannot transmit or receive packets concurrently. For the second condition, nodei and node j are considered to be in a separate group if their group ID is zero. Other than zero, if their group ID is the same, it means they are already in the same group.The third condition says that if the senders are not within the carrier sensing range, they are not grouped together. For example, in Figure1, we were considering to group the DL of nodes A and B. But suppose APX and APY are outside the carrier sense range, meaning that when APX transmits, still APY finds the channel idle. Then, they are not exposed terminals, and they could transmit together even without grouping. So we do not gain benefit from grouping the DL of nodes A and B. Also, as will be described in the next section, concurrent transmission is triggered by a preamble. If the transmitters are too far away, the preamble might not reach the transmitters in the same group and thus may not trigger concurrent transmission.We have noted that DL and UL of a mobile station are treated independently when establishing the groups. It is possible that a group contains multiple DL connections as well as UL connections. While for other conditions, there is no difference in handling DL and UL, and checking the third condition needs extra information for UL connections. In order to check whether the two transmitters are within the carrier sense range of each other, we need to have RSSI information between the transmitters. If we are checking to see if two DL connections can be grouped together, we can use the AP RSSI table to check whether the transmitters are within the carrier sense range. Also, if we are checking to see if a DL connection and a UL connection can be grouped together, we can use the mobile station table to check if the transmitters are within the carrier sense range (assuming the link is symmetric.) However, if we are trying to see whether two UL connections can be grouped together, we need to know the RSSI between two mobile stations. RSSI of APs is easier to measure and maintain because APs periodically transmit beacons, but it is more difficult to obtain RSSI between mobile stations. There are two ways to address the problem. First, nodes can build an additional table which contains RSSI of neighboring mobile stations. The RSSI of neighboring mobile stations are obtained opportunistically by overhearing their transmissions. Second, if the RSSI of mobile stations is not available, we can limit a UL to be always checked against a DL, when the coordinator tries to group two links together. In other words, at least one transmitter must be an AP. In that case, we can use the mobile station table to check the third condition. Although two UL connections cannot be directly checked for group formation, they can eventually be in the same group if a DL connection is also in the group.The fourth condition is a greedy-style optimization, which tries to make larger groups. Consider the scenario in Figure6. There, the DL of nodes A, B, and C are in group 1 (black), whereas the DL of nodes D, E, and F are in group 2 (red). The sizes of the two groups are both 3. If node D moves from group 2 to group 1, the size of group 1 will become 4, which is larger than 3. In this case, node D moves to group 1 if the coordinator thinks all 4 nodes in group 1 can successfully transmit together. Group 2 is now with two nodes, but there may be other nodes without a group that can join group 2 because joining a group of two is easier than joining a group of three.Figure 6
Group formation algorithm: nodes A, B, and C are in group 1 and nodes D, E, and F are in group 2. If node D can be moved to group 1, then it is preferred to do so because it will create a larger group.The fifth condition is a further optimization in addition to the fourth condition. Consider the scenario in Figure7. In the figure, the DL of nodes A, B, and C is in group 1, whereas the DL of nodes D and E is in group 2. If node B leaves group 1 and moves to group 2, the group sizes will remain the same. In this case, we compare the minimum SNR of any node in the two groups. In the case of Figure 7, when node B is in group 1, the minimum SNR is 24 dB which is experienced by node A. If node B moves to group 2, the minimum SNR becomes 29 dB of node B. In this case, we allow node B to move because with higher SNR there is higher chance that an additional node can join the group.Figure 7
Group formation algorithm: nodes A, B, and C are in group 1 and nodes D and E are in group 2. If node B moves to group 2, the group sizes will remain the same but the minimum SNR is increased from 24 dB to 29 dB. In that case, it is preferred that node B moves to group 2.Finally, if nodei is ready to join node j’s group, the coordinator has to verify if all nodes in j’s group can transmit concurrently. That is, if the nodes in j’s group transmit simultaneously, the SNR at each receiver must be larger than a threshold. The SNR at each receiver is calculated using equation (2). Then, the estimated SNR is compared with SNRTH, which is calculated as in equation (3). In the equation, SNRmin is the minimum SNR required to successfully decode the packet modulated using a certain modulation and coding scheme. SNRTH adds a margin M to SNRmin in order to account for variations in channel conditions:(3)SNRTH=SNRmin+M.If the final condition is satisfied, nodei moves to node j’s group. If j’s group ID is zero, the coordinator assigns a new group ID.Once the coordinator finishes the group assignment, it sends the assignment results to all the APs. The APs maintain DL group IDs for all its associated mobile stations and send the UL group IDs to the mobile stations. Since nodes may join, leave, or change positions, the SNR measurements can become stale over time. Also, the traffic demand of mobile stations may change over time as well. In order to reflect the changes, the coordinator should recalculate the groups occasionally, based on the updated information. As described earlier, each mobile station keeps track of the RSSI of its associated AP. Also, each mobile station stores the RSSI value when the node was assigned the latest group ID. If the difference between the current RSSI and the stored RSSI exceeds a certain threshold, the node sends a message to its AP reporting the change of RSSI (the report could be included in the data or ACK message sent from the mobile station to the AP). The AP forwards this information to the coordinator, and the coordinator recalculates the groups triggered by the message. The coordinator may recalculate groups for the entire network or just reset the group ID for the particular mobile station and try to assign the node to a new group. The group assignment is also triggered whenever a node joins or leaves the network, or traffic demand of a node changes.


### 4.2. Protocol Operation

Consider the scenario in Figure8. Mobile stations A, B, and C are associated with APX, APY, and APZ, respectively. Suppose the coordinator has assigned group ID 1 to the DL of node A and node B and assigned group ID 2 to the DL of node C. Similar to IEEE 802.11 DCF, the nodes follow the random backoff procedure to gain access to the channel. Suppose APX finishes counting down its backoff counter and wins the channel. Then, APX begins transmission by sending a preamble. In G-DCF, the transmitter includes its group ID in the physical layer convergence protocol (PLCP) header. This is similar to the BSS coloring scheme of IEEE 802.11ax, where BSS color (a unique ID assigned to the BSS) is included in the PLCP header [2].Figure 8
An example scenario where G-DCF is used. The DL of nodes A and B is in the group 1, whereas the DL of node C is in group 2.When APX transmits the preamble, it will be heard by APY and APZ. Normally in DCF, when the neighboring nodes receive a preamble, they will sense the channel busy, set up a network allocation vector (NAV), and pause the backoff counting. However, in G-DCF, APY reads the preamble and checks the group ID, which is 1 in this case. Since transmission from APY to node B is also assigned group 1, it means APY can transmit concurrently with the ongoing transmission. If the channel was idle before receiving the preamble, APY stops the backoff and immediately starts its transmission towards node B. If there were other transmitters that were assigned group 1, they would also start the transmission if the channel was idle before receiving the preamble. It is as if APX’s preamble is a trigger for all nodes in the group to start transmission. On the contrary, APZ will also receive the preamble sent by APX. Upon checking the group ID, it finds out that the group ID is different from its assigned group ID. Then, APZ behaves similar to DCF, where the node sets up an NAV and pauses the backoff. The behavior of G-DCF is illustrated in Figure 9.Figure 9
Behavior of G-DCF. When APX transmits a packet to node A, it includes group ID 1 in the preamble. When APY receives the preamble, it can immediately transmit a packet to node B if the channel was idle before receiving the preamble. When APZ receives the packet, it sets up the NAV and defers its transmission.While the uplink traffic only has a single destination, the downlink traffic may have multiple destinations. In G-DCF, different group IDs are assigned to the DL of different mobile stations, even if they are associated with the same AP. In other words, an AP may have multiple group IDs for DL, depending on the destination. In Figure8, suppose APX started transmitting, APY received the preamble to find out that the group ID was 1. Suppose the DL of node B was assigned group 1, the DL of node D which is another mobile station associated with APY was assigned group 2. If APY was preparing to send a packet to node D, it cannot transmit together with APX since their group IDs are different. So APY loses the chance to transmit concurrently with APX, even though it can transmit concurrently if the destination was node B.In order to maximize system spectral efficiency, G-DCF allows an AP to switch the order of transmissions if the packet can be transmitted concurrently with ongoing transmissions. In the above example, suppose APY was waiting to send a packet to node D. However, APY also has a packet to send to node B in its transmit queue. If APY receives a preamble which includes group ID 1, then it immediately starts sending a packet to node B.Suppose APY successfully transmits a packet to B and receives an ACK. In DCF, the node will reset the contention window and pick a random number from the contention window to contend for the channel again. However, in this example, the backoff counter of APY is not zero because the transmission was triggered by a preamble and not by finishing the backoff. Suppose APY resets the backoff counter and chooses a random number from the contention window. Then, while waiting for the channel, the same event could occur where a preamble from a node in group 1 is received and APY sends a packet to node B again. If this happens repeatedly, the packet to node D can be delayed without limit. Thus, in G-DCF, the backoff counter and the contention window is not altered if the transmission was not from the packet in the front of the transmit queue. In the example, suppose the backoff counter was 5 when APY received a preamble and started transmitting to node B. After the transmission, the backoff counting is resumed at 5. On the contrary, if APY transmits a packet to node D which was at the front of the transmit queue, the contention window and the backoff counter are managed similar to DCF, after the transmission.


### 4.3. Contention Window Adjustment

Once multiple nodes are grouped together, one node will potentially transmit a packet when any member of the same group wins the channel. Because of that, nodes belonging to a large group will have a higher chance of accessing the channel than nodes in a small group, which results in unfair share of channel bandwidth. One way of improving fairness is to adjust the contention window size according to the group size.After transmitting a packet, a node picks a random number in the range [0,CW−1], where CW is the contention window size. Initially, CW is set to CWmin. Whenever a transmission fails, CW is doubled until it reaches CWmax (CWmin and CWmax are predefined system parameters). Whenever a transmission succeeds, CW is reset to CWmin.Suppose a node does not belong to any group. Then, ifCW is N, the node has to backoff for N−1/2 time slots in average. We would like to adjust CW of the nodes so that even when the node is in a group of size m, the expected number of backoff slots is the same as a node without a group. In the following, we calculate the contention window size for a group of m nodes so that the expected number of backoff slots becomes the same regardless of the group size. Note that a mobile station can be assigned two group IDs, one for DL and one for UL. To avoid confusion, let us assume that all traffic we have is downlink for this calculation, so a mobile station i is assigned a single group ID. In practice, DL and UL are separately considered, and the same calculation can be applied regardless of whether the node has DL or UL traffic.We defineXj as the number randomly chosen by node j from the contention window. If there are multiple nodes in a group, the number of slots for backoff is the minimum of random numbers chosen by the nodes. Thus, the probability that the number of backoff slots is i is PminXj=i and can be calculated as follows:(4)PminXj=i=PminXj≥i−PminXj≥i+1=PX1≥iPX2≥i⋯PXm≥i−PX1≥i+1⋯PXm≥i+1=N−iNm−N−i+1Nm,where m is the number of nodes in the group and N is the contention window size. The expected number of backoff slots EXj is(5)EXj=∑i=0N−1i⋅N−iNm−N−i+1Nm=1×N−1Nm−N−2Nm+2×N−2Nm−N−3Nm+⋯+N−1×1Nm=∑i=1N−1iNm=1Nm∑i=1N−1im.Suppose we defineN1 as the contention window size of an independent node. The expected number of backoff slots is(6)EXj=N1−12.So we would like to selectN as the contention window size of nodes in the group of size m according to the following equation:(7)1Nm∑i=1N−1im=N1−12.This equation cannot be simply solved due tom. Instead, we approximate the left-hand side, which is in the form of Bernoulli numbers, into a simpler form as follows. We start with the equation which contains the sum of im:(8)Nm+1−1m+1=∑j=1m+1m+1j∑i=1N−1im+1−j=m+11∑i=1N−1im+m+12∑i=1N−1im−1+ϵ,where m+1j is the number of j combinations from a set of m+1 elements.Assumingm≥3, we define ϵ as(9)ϵ=m+13∑i=1N−1im−2+⋯+m+1m+1∑i=1N−1i0.Note that ifm is 1 or 2, equation (7) can be easily solved. Rearranging equation (8), we get(10)∑i=1N−1im=Nm+1−1−ϵm+1−m2∑i=1N−1im−1.Dividing both sides byNm, we get(11)1Nm∑i=1N−1im=Nm+1−m2⋅Nm∑i=1N−1im−1−β,where(12)β=1+ϵm+1⋅Nm.Note that ifm≥3 and N≥16, β is a small number that can be neglected. In a similar way, we derive an equation for the sum of im−1:(13)Nm−1m=∑j=1mmj∑i=1N−1im−j=m1∑i=1N−1im−1+ϵ′.This time, we only leave the first term of the sum and regard everything else asϵ′. Then,(14)1Nm∑i=1N−1im−1=1m−β′,where(15)β′=1+ϵ′m⋅Nm,in which β′ is a small number which we will ignore. So from equations (11) and (14),(16)1Nm∑i=1N−1im≈Nm+1−12.Finally, we apply equation (7) to obtain the contention window size N for a given m:(17)N=m+12⋅N1.Whenever a node draws a random number from the contention window, the contention window is scaled according to equation (17). The procedure of increasing and decreasing contention window is the same as in original DCF. In the evaluations, we evaluate both cases where CW adjustment is applied and not applied to G-DCF.


## 4.1. Group Formation

We assume that a group of APs deployed in a region collaborates with each other and can exchange messages through wired interface. There could be a central coordinator, or one of the APs could become the leader and coordinate the entire group of APs. When a mobile station is associated with one of the APs, two group IDs are assigned for this mobile station: one for downlink and one for uplink. Initially, all group IDs are zeroes meaning that the DL and UL of mobile stations do not belong to any group.In order to operate G-DCF, each mobile station maintains RSSI of neighboring APs, including its associated AP. Whenever a mobile station receives a beacon, it updates the RSSI of the AP by calculating the exponential moving average (EMA) of the RSSI. Also, each mobile station keeps track of how much uplink traffic it has to send to the AP. The traffic information is required because a node does not need to be in a group if it does not have any downlink or uplink traffic. When a mobile station associates with an AP, it sends the RSSI and the traffic information to the AP. When the APs receive the information from the mobile stations, they forward the information to the coordinator. Also, each AP sends how much downlink traffic it has for each associated mobile station. There are various ways of measuring traffic demand, but we use the ratio of time packets that are backlogged in the queue. For example, suppose the measure period is 60 seconds. If APX has a packet destined for node C in its transmit queue for 30 seconds in the 60-second period, the downlink traffic demand of node C is 50%. Also, if node A has a packet in its transmit queue for 45 seconds during that 60-second period, the uplink traffic demand of node A is 70%. If the traffic demand exceeds a certain threshold, the downlink or uplink of a mobile station could be included in a group. The coordinator maintains tables similar to Figures 4(a) and 4(b), in order to manage the groups. Note that, in real implementation, node labels such as A, B, C, APX, and APY are replaced by MAC addresses. In the mobile station table, the value of “traffic” field is 0 if the traffic demand is less than the threshold and 1 if the traffic demand is higher than the threshold. The AP RSSI table records signal strength of beacons between the APs.Figure 4
Tables maintained at the coordinator records the information of each (a) mobile station table and (b) AP RSSI table.
(a)
(b)Once the coordinator gathers information from the APs, it starts calculating the groups. The algorithm for establishing groups is a greedy-style algorithm, in which a node tries to join the “best” group for DL and UL. The algorithm is illustrated using a flow diagram in Figure5. Note that DL and UL of a mobile station are considered separately; we can think of DL and UL of a mobile station as two different mobile stations. Also, only mobile stations with high traffic demand are considered in group formation. If a DL or a UL of a mobile station has no traffic, its group ID becomes zero. In the flow diagram of Figure 5, the mobile stations considered in the algorithms are stations with high traffic demand.Figure 5
Flow diagram of the group formation algorithm.For clarity, let us assume all mobile stations only have downlink traffic demand. The coordinator randomly picks a mobile stationi, in order to see if node i can join another group. To do that, the coordinator picks another mobile station j. Now, the coordinator checks the following six conditions before deciding to include node i in the same group as node j:(1)
If nodei and node j are in the same Basic Service Set (BSS) (associated with the same AP), they cannot be in the same group.(2)
If nodei and node j are already in the same group, then no work needs to be done.(3)
If the senders of nodei and node j (APs in the downlink case) are outside the carrier sensing range, then they do not need to be in the same group.(4)
If nodei is already in a group, then we compare the size of i’s group (Si) and the size of j’s group (Sj). If Si>Sj+1, then i does not move to j’s group.(5)
IfSi=Sj+1, we compare the minimum SNR of nodes for the case where i stays in its group and the case where i moves to j’s group. If the minimum SNR is not increased, then i does not move to j’s group.(6)
If nodei joins j’s group, the nodes in j’s group should be able to concurrently transmit together. If this is verified through SNR calculation, node i joins j’s group.The first condition is obvious because two mobile stations connected to the same AP cannot transmit or receive packets concurrently. For the second condition, nodei and node j are considered to be in a separate group if their group ID is zero. Other than zero, if their group ID is the same, it means they are already in the same group.The third condition says that if the senders are not within the carrier sensing range, they are not grouped together. For example, in Figure1, we were considering to group the DL of nodes A and B. But suppose APX and APY are outside the carrier sense range, meaning that when APX transmits, still APY finds the channel idle. Then, they are not exposed terminals, and they could transmit together even without grouping. So we do not gain benefit from grouping the DL of nodes A and B. Also, as will be described in the next section, concurrent transmission is triggered by a preamble. If the transmitters are too far away, the preamble might not reach the transmitters in the same group and thus may not trigger concurrent transmission.We have noted that DL and UL of a mobile station are treated independently when establishing the groups. It is possible that a group contains multiple DL connections as well as UL connections. While for other conditions, there is no difference in handling DL and UL, and checking the third condition needs extra information for UL connections. In order to check whether the two transmitters are within the carrier sense range of each other, we need to have RSSI information between the transmitters. If we are checking to see if two DL connections can be grouped together, we can use the AP RSSI table to check whether the transmitters are within the carrier sense range. Also, if we are checking to see if a DL connection and a UL connection can be grouped together, we can use the mobile station table to check if the transmitters are within the carrier sense range (assuming the link is symmetric.) However, if we are trying to see whether two UL connections can be grouped together, we need to know the RSSI between two mobile stations. RSSI of APs is easier to measure and maintain because APs periodically transmit beacons, but it is more difficult to obtain RSSI between mobile stations. There are two ways to address the problem. First, nodes can build an additional table which contains RSSI of neighboring mobile stations. The RSSI of neighboring mobile stations are obtained opportunistically by overhearing their transmissions. Second, if the RSSI of mobile stations is not available, we can limit a UL to be always checked against a DL, when the coordinator tries to group two links together. In other words, at least one transmitter must be an AP. In that case, we can use the mobile station table to check the third condition. Although two UL connections cannot be directly checked for group formation, they can eventually be in the same group if a DL connection is also in the group.The fourth condition is a greedy-style optimization, which tries to make larger groups. Consider the scenario in Figure6. There, the DL of nodes A, B, and C are in group 1 (black), whereas the DL of nodes D, E, and F are in group 2 (red). The sizes of the two groups are both 3. If node D moves from group 2 to group 1, the size of group 1 will become 4, which is larger than 3. In this case, node D moves to group 1 if the coordinator thinks all 4 nodes in group 1 can successfully transmit together. Group 2 is now with two nodes, but there may be other nodes without a group that can join group 2 because joining a group of two is easier than joining a group of three.Figure 6
Group formation algorithm: nodes A, B, and C are in group 1 and nodes D, E, and F are in group 2. If node D can be moved to group 1, then it is preferred to do so because it will create a larger group.The fifth condition is a further optimization in addition to the fourth condition. Consider the scenario in Figure7. In the figure, the DL of nodes A, B, and C is in group 1, whereas the DL of nodes D and E is in group 2. If node B leaves group 1 and moves to group 2, the group sizes will remain the same. In this case, we compare the minimum SNR of any node in the two groups. In the case of Figure 7, when node B is in group 1, the minimum SNR is 24 dB which is experienced by node A. If node B moves to group 2, the minimum SNR becomes 29 dB of node B. In this case, we allow node B to move because with higher SNR there is higher chance that an additional node can join the group.Figure 7
Group formation algorithm: nodes A, B, and C are in group 1 and nodes D and E are in group 2. If node B moves to group 2, the group sizes will remain the same but the minimum SNR is increased from 24 dB to 29 dB. In that case, it is preferred that node B moves to group 2.Finally, if nodei is ready to join node j’s group, the coordinator has to verify if all nodes in j’s group can transmit concurrently. That is, if the nodes in j’s group transmit simultaneously, the SNR at each receiver must be larger than a threshold. The SNR at each receiver is calculated using equation (2). Then, the estimated SNR is compared with SNRTH, which is calculated as in equation (3). In the equation, SNRmin is the minimum SNR required to successfully decode the packet modulated using a certain modulation and coding scheme. SNRTH adds a margin M to SNRmin in order to account for variations in channel conditions:(3)SNRTH=SNRmin+M.If the final condition is satisfied, nodei moves to node j’s group. If j’s group ID is zero, the coordinator assigns a new group ID.Once the coordinator finishes the group assignment, it sends the assignment results to all the APs. The APs maintain DL group IDs for all its associated mobile stations and send the UL group IDs to the mobile stations. Since nodes may join, leave, or change positions, the SNR measurements can become stale over time. Also, the traffic demand of mobile stations may change over time as well. In order to reflect the changes, the coordinator should recalculate the groups occasionally, based on the updated information. As described earlier, each mobile station keeps track of the RSSI of its associated AP. Also, each mobile station stores the RSSI value when the node was assigned the latest group ID. If the difference between the current RSSI and the stored RSSI exceeds a certain threshold, the node sends a message to its AP reporting the change of RSSI (the report could be included in the data or ACK message sent from the mobile station to the AP). The AP forwards this information to the coordinator, and the coordinator recalculates the groups triggered by the message. The coordinator may recalculate groups for the entire network or just reset the group ID for the particular mobile station and try to assign the node to a new group. The group assignment is also triggered whenever a node joins or leaves the network, or traffic demand of a node changes.


## 4.2. Protocol Operation

Consider the scenario in Figure8. Mobile stations A, B, and C are associated with APX, APY, and APZ, respectively. Suppose the coordinator has assigned group ID 1 to the DL of node A and node B and assigned group ID 2 to the DL of node C. Similar to IEEE 802.11 DCF, the nodes follow the random backoff procedure to gain access to the channel. Suppose APX finishes counting down its backoff counter and wins the channel. Then, APX begins transmission by sending a preamble. In G-DCF, the transmitter includes its group ID in the physical layer convergence protocol (PLCP) header. This is similar to the BSS coloring scheme of IEEE 802.11ax, where BSS color (a unique ID assigned to the BSS) is included in the PLCP header [2].Figure 8
An example scenario where G-DCF is used. The DL of nodes A and B is in the group 1, whereas the DL of node C is in group 2.When APX transmits the preamble, it will be heard by APY and APZ. Normally in DCF, when the neighboring nodes receive a preamble, they will sense the channel busy, set up a network allocation vector (NAV), and pause the backoff counting. However, in G-DCF, APY reads the preamble and checks the group ID, which is 1 in this case. Since transmission from APY to node B is also assigned group 1, it means APY can transmit concurrently with the ongoing transmission. If the channel was idle before receiving the preamble, APY stops the backoff and immediately starts its transmission towards node B. If there were other transmitters that were assigned group 1, they would also start the transmission if the channel was idle before receiving the preamble. It is as if APX’s preamble is a trigger for all nodes in the group to start transmission. On the contrary, APZ will also receive the preamble sent by APX. Upon checking the group ID, it finds out that the group ID is different from its assigned group ID. Then, APZ behaves similar to DCF, where the node sets up an NAV and pauses the backoff. The behavior of G-DCF is illustrated in Figure 9.Figure 9
Behavior of G-DCF. When APX transmits a packet to node A, it includes group ID 1 in the preamble. When APY receives the preamble, it can immediately transmit a packet to node B if the channel was idle before receiving the preamble. When APZ receives the packet, it sets up the NAV and defers its transmission.While the uplink traffic only has a single destination, the downlink traffic may have multiple destinations. In G-DCF, different group IDs are assigned to the DL of different mobile stations, even if they are associated with the same AP. In other words, an AP may have multiple group IDs for DL, depending on the destination. In Figure8, suppose APX started transmitting, APY received the preamble to find out that the group ID was 1. Suppose the DL of node B was assigned group 1, the DL of node D which is another mobile station associated with APY was assigned group 2. If APY was preparing to send a packet to node D, it cannot transmit together with APX since their group IDs are different. So APY loses the chance to transmit concurrently with APX, even though it can transmit concurrently if the destination was node B.In order to maximize system spectral efficiency, G-DCF allows an AP to switch the order of transmissions if the packet can be transmitted concurrently with ongoing transmissions. In the above example, suppose APY was waiting to send a packet to node D. However, APY also has a packet to send to node B in its transmit queue. If APY receives a preamble which includes group ID 1, then it immediately starts sending a packet to node B.Suppose APY successfully transmits a packet to B and receives an ACK. In DCF, the node will reset the contention window and pick a random number from the contention window to contend for the channel again. However, in this example, the backoff counter of APY is not zero because the transmission was triggered by a preamble and not by finishing the backoff. Suppose APY resets the backoff counter and chooses a random number from the contention window. Then, while waiting for the channel, the same event could occur where a preamble from a node in group 1 is received and APY sends a packet to node B again. If this happens repeatedly, the packet to node D can be delayed without limit. Thus, in G-DCF, the backoff counter and the contention window is not altered if the transmission was not from the packet in the front of the transmit queue. In the example, suppose the backoff counter was 5 when APY received a preamble and started transmitting to node B. After the transmission, the backoff counting is resumed at 5. On the contrary, if APY transmits a packet to node D which was at the front of the transmit queue, the contention window and the backoff counter are managed similar to DCF, after the transmission.


## 4.3. Contention Window Adjustment

Once multiple nodes are grouped together, one node will potentially transmit a packet when any member of the same group wins the channel. Because of that, nodes belonging to a large group will have a higher chance of accessing the channel than nodes in a small group, which results in unfair share of channel bandwidth. One way of improving fairness is to adjust the contention window size according to the group size.After transmitting a packet, a node picks a random number in the range [0,CW−1], where CW is the contention window size. Initially, CW is set to CWmin. Whenever a transmission fails, CW is doubled until it reaches CWmax (CWmin and CWmax are predefined system parameters). Whenever a transmission succeeds, CW is reset to CWmin.Suppose a node does not belong to any group. Then, ifCW is N, the node has to backoff for N−1/2 time slots in average. We would like to adjust CW of the nodes so that even when the node is in a group of size m, the expected number of backoff slots is the same as a node without a group. In the following, we calculate the contention window size for a group of m nodes so that the expected number of backoff slots becomes the same regardless of the group size. Note that a mobile station can be assigned two group IDs, one for DL and one for UL. To avoid confusion, let us assume that all traffic we have is downlink for this calculation, so a mobile station i is assigned a single group ID. In practice, DL and UL are separately considered, and the same calculation can be applied regardless of whether the node has DL or UL traffic.We defineXj as the number randomly chosen by node j from the contention window. If there are multiple nodes in a group, the number of slots for backoff is the minimum of random numbers chosen by the nodes. Thus, the probability that the number of backoff slots is i is PminXj=i and can be calculated as follows:(4)PminXj=i=PminXj≥i−PminXj≥i+1=PX1≥iPX2≥i⋯PXm≥i−PX1≥i+1⋯PXm≥i+1=N−iNm−N−i+1Nm,where m is the number of nodes in the group and N is the contention window size. The expected number of backoff slots EXj is(5)EXj=∑i=0N−1i⋅N−iNm−N−i+1Nm=1×N−1Nm−N−2Nm+2×N−2Nm−N−3Nm+⋯+N−1×1Nm=∑i=1N−1iNm=1Nm∑i=1N−1im.Suppose we defineN1 as the contention window size of an independent node. The expected number of backoff slots is(6)EXj=N1−12.So we would like to selectN as the contention window size of nodes in the group of size m according to the following equation:(7)1Nm∑i=1N−1im=N1−12.This equation cannot be simply solved due tom. Instead, we approximate the left-hand side, which is in the form of Bernoulli numbers, into a simpler form as follows. We start with the equation which contains the sum of im:(8)Nm+1−1m+1=∑j=1m+1m+1j∑i=1N−1im+1−j=m+11∑i=1N−1im+m+12∑i=1N−1im−1+ϵ,where m+1j is the number of j combinations from a set of m+1 elements.Assumingm≥3, we define ϵ as(9)ϵ=m+13∑i=1N−1im−2+⋯+m+1m+1∑i=1N−1i0.Note that ifm is 1 or 2, equation (7) can be easily solved. Rearranging equation (8), we get(10)∑i=1N−1im=Nm+1−1−ϵm+1−m2∑i=1N−1im−1.Dividing both sides byNm, we get(11)1Nm∑i=1N−1im=Nm+1−m2⋅Nm∑i=1N−1im−1−β,where(12)β=1+ϵm+1⋅Nm.Note that ifm≥3 and N≥16, β is a small number that can be neglected. In a similar way, we derive an equation for the sum of im−1:(13)Nm−1m=∑j=1mmj∑i=1N−1im−j=m1∑i=1N−1im−1+ϵ′.This time, we only leave the first term of the sum and regard everything else asϵ′. Then,(14)1Nm∑i=1N−1im−1=1m−β′,where(15)β′=1+ϵ′m⋅Nm,in which β′ is a small number which we will ignore. So from equations (11) and (14),(16)1Nm∑i=1N−1im≈Nm+1−12.Finally, we apply equation (7) to obtain the contention window size N for a given m:(17)N=m+12⋅N1.Whenever a node draws a random number from the contention window, the contention window is scaled according to equation (17). The procedure of increasing and decreasing contention window is the same as in original DCF. In the evaluations, we evaluate both cases where CW adjustment is applied and not applied to G-DCF.


## 5. Performance Evaluation

### 5.1. Simulation Setup

Performance evaluation of G-DCF was conducted using the ns-3 simulator [17]. The simulation environment consists of APs placed in a grid structure, and mobile stations randomly deployed throughout the whole area, as shown in Figure 2. Once deployed, each mobile station associates with the nearest AP. Each mobile station is assigned with either a downlink or an uplink UDP traffic, which starts once the simulation begins.For simulation parameters, we have used the 802.11a standard with 20 MHz channels. Data packets are sent at 54 Mbps rate, whereas control packets such as ACKs are sent at 24 Mbps. For path loss, we use the log-distance model with parameters described earlier in Section3. A UDP packet is 1472 bytes, which becomes 1500 bytes after adding UDP and IP header. Unless otherwise specified, we deploy 100 APs in a 80 m × 80 m area, and 20 mobile nodes are randomly placed inside the area. We assume that the mobile nodes always have UL or DL traffic, which makes them nodes with high traffic demand. The carrier sense threshold is −82 dBm, and CWmin and CWmax are 16 and 1024, respectively. For G-DCF, we have modified the PLCP header to include an 8-bit field called “Transmit Group ID (txgid).” The PLCP header of 802.11a is 48 bits. Thus, the PLCP header becomes 56 bits for G-DCF, which is an additional overhead for the protocol. To calculate the SNR threshold in equation (3), we use 23 dB as SNRmin and 2 dB as the margin M. With these set of default values, we have varied the number of nodes, number of APs, simulation area size, and carrier sense threshold in order to create various network environments.For performance metric, we have used the aggregate system throughput and Jain’s fairness index [18]. Measuring fairness is important because often protocols achieve high throughput by letting a small subset of nodes dominate the channel, which is an undesired behavior. We have compared four different protocols. The first one is “802.11 DCF,” which is the original DCF protocol. The second protocol is the dynamic sensitivity control protocol [13] proposed for IEEE 802.11ax standard. The protocol dynamically adjusts the carrier sense threshold based on the RSSI between AP and the mobile station. The carrier sense threshold is calculated according to equation (18), where Ci is the carrier sense threshold used for mobile station i and RSSIi is the RSSI of the associated AP measured at node i. For parameters, we use Margin=25dB, CSTmax=−62dBm, and CSTmin=−82dBm as suggested in the paper:(18)Ci=maxCmin,minCmax,RSSIi−Margin.The third and fourth protocols are G-DCF. We measure the throughput and fairness of G-DCF with and without the contention window adjustment described in Section4.3. With contention window adjustment, fairness among nodes is expected to improve but the total throughput will decrease by giving more chance to small groups and individual nodes. By comparing the two protocols, we study how the contention window adjustment scheme impacts the throughput and fairness of the system.


### 5.2. Results

In the first experiment, we have varied the number of mobile stations. We have deployed 100 APs in an 80 m × 80 m area, and 5 to 100 mobile stations are randomly placed in the area. The carrier sense threshold was fixed at −82 dBm. The result is shown in Figure10. The first observation to make is that the total throughput increases with the number of nodes for all protocols, as shown in Figure 10(a). This is because with more nodes, the chance that multiple nodes transmit concurrently is higher. Two nodes can transmit together if they are outside the carrier sense range of each other, or they happen to finish backoff at the same time. With more stations, the probabilities of both events are higher.Figure 10
(a) Total throughput and (b) Jain’s fairness index varying the number of mobile nodes.
(a)
(b)When two nodes transmit simultaneously, transmissions may fail due to low SNR at the receivers. This is possible when two closely located nodes accidentally finish backoff at the same time, or the nodes are hidden terminals to each other even when they are outside the carrier sense range. It is also possible that one of the packets is successfully received at the receiver, while the other packet is dropped due to low SNR. This happens when one node is close to its destination, while the other node is relatively far away from its destination. Suppose node A and node B transmitted concurrently but only node A successfully sent its packet to its destination. In that case, node B will double its contention window, while node A resets the contention window to the minimum value. Thus, it becomes more difficult for node B to access the channel. If node A is a hidden terminal to node B, then node B will very scarcely get a chance to send a packet because it constantly loses contention to node A. This is the major reason of unfairness in the CSMA/CA-based protocols, and that is why the fairness decreases as the number of nodes increases, as shown in Figure10(b).Comparing the protocols, we can see that DSC achieves higher throughput compared to 802.11 DCF, but its fairness is lower than DCF. If a node closer to the destination sets CST higher, these nodes will naturally have more chance of accessing the channel. Moreover, since these nodes transmit aggressively, more often they could become hidden terminals to nodes that are far away from their destinations. So we can say that DSC is achieving more throughput by giving more priority to mobile stations placed near the APs, which is not desirable in terms of fairness. For DSC, the throughput could become higher if we increaseCSTmax to a value higher than −62 dBm. However, it will create more hidden terminals, and the fairness will decrease further.On the contrary, G-DCF improves both throughput and fairness compared to 802.11 DCF. G-DCF achieves 1.5 to 2 times the throughput of 802.11 DCF, depending on the density of mobile stations. However, the fairness of 802.11 DCF drops significantly as the number of nodes increases, whereas the fairness of G-DCF is still very high. With contention window adjustment, the fairness is almost 1.0 even with a large number of nodes. As previously described, the throughput improvement is achieved because more nodes transmit concurrently due to colliding backoff counters and hidden terminals. Since this behavior favors the nodes close to the destination, fairness is significantly degraded. This behavior occurs much less frequently in G-DCF because nodes are grouped together. Suppose a node is in a position where a hidden terminal always interferes with the node and prevents the node from successfully transmitting its packet. In G-DCF, this node could be grouped with other nodes so that it can transmit together with the other nodes in the group. The hidden terminal which interfered with the node in 802.11 DCF can now be blocked by the other nodes in the group. Also, since node groups contend for the channel instead of individual nodes, the number of contenders is smaller in G-DCF compared to 802.11 DCF. Thus, G-DCF shows higher throughput and fairness compared to 802.11 DCF, which is desirable for practical use.In the second experiment, we varied the number of APs. Fixing the area size, we increased the number of APs from 4 to 256. The other parameters are the same as previous experiment (80 m × 80 m area, 20 nodes,CST=−82dBm). The result is shown in Figure 11. Intuitively, the system throughput increases with increasing AP density. High AP density means the average distance between a mobile station and its associated AP is shorter. If the average distance is small, there is a higher probability that the transmission is successful when the nodes transmit concurrently. For G-DCF, more nodes can be grouped together because the SNR at the receiver is higher with more APs. For example, with 256 APs, the throughput can go up to 210 Mbps, which is equivalent to seven nodes transmitting concurrently, in average. (When there is a single pair of nodes, the UDP throughput is approximately 30 Mbps with saturated traffic.) With 256 APs, G-DCF (without contention window adjustment) could achieve 3 times the throughput of 802.11 DCF, with higher fairness index. On the contrary, DSC achieves 1.4 times the throughput of 802.11 DCF, with similar level of fairness. The fairness also increases with density of APs because when multiple nodes accidentally transmit due to collisions in backoff, there is higher chance that both transmissions will still survive. In other words, not many nodes suffer starvation due to frequent collisions, which is why the system achieves good fairness.Figure 11
(a) Total throughput and (b) Jain’s fairness index varying the number of APs.
(a)
(b)In the third experiment, we varied the size of simulation area from 1600 m2 (40 m × 40 m) to 160000 m2 (400 m × 400 m), while fixing the number of APs at 100. 20 mobile nodes are randomly deployed in the area, and the carrier sense threshold is fixed at −82 dBm. The result is shown in Figure 12. When area size is small, G-DCF achieves higher throughput and fairness compared to 802.11 DCF and DSC. However, as the area size becomes larger, the difference in both throughput and fairness diminishes. This is because when the network is sparse, not many exposed terminals exist in the network. When the network is very sparse, many pairs of nodes are outside carrier sense range, so they are not grouped together. Thus, the benefit of G-DCF diminishes when the network becomes sparse. For DSC, since the average RSSI of APs decreases with decreasing network density, the carrier sense threshold of nodes becomes lower, near CSTmin which is −82 dBm. Thus, the performance of DSC also becomes similar to that of 802.11 DCF. From this experiment, we can see that the benefit of G-DCF is higher when the network is dense.Figure 12
(a) Total throughput and (b) Jain’s fairness index varying size of the simulation area.
(a)
(b)In Figure12(b), we can see that the fairness of 802.11 DCF shows a different behavior compared to other protocols. Specifically, the fairness of 802.11 DCF is especially low when the area size is 5000–15000 m2. It is because that is the point when the area becomes slightly larger than the carrier sense range. When the simulation area is smaller than 5000 m2, almost the entire area is blocked by a transmission. But if the area size becomes larger, nodes at the edge of the area can transmit more often because they are outside the carrier sense range of each other. On the contrary, nodes at the center of the area have less chance of transmission because they have to contend with all nodes at the edge of the area. This is the reason the fairness is low. Once the area size becomes larger, the privilege of nodes at the edge of the area becomes smaller because now the nodes at the center are also outside the carrier sense range of the edge nodes. This behavior is not shown in G-DCF because nodes at the center can be grouped with nodes at the edge. If these nodes transmit together as a group, there is no privilege for the edge nodes because the nodes at the other edge will be blocked by the nodes at the center of the area.In the next experiment, we varied the carrier sense threshold from −94 dBm to −44 dBm, whereas the other parameters are fixed at their default values (80 m × 80 m area, 100 APs, and 20 nodes). For this experiment, we have compared 802.11 DCF and G-DCF with and without contention window adjustment because DSC does not use a fixed carrier sense threshold. The result is shown in Figure13. The throughput and fairness of G-DCF is higher than 802.11 DCF when the CST is low, but their performance becomes similar when the CST is high. Since the group formation algorithm of G-DCF only groups nodes that are within the carrier sense range, not many groups are established when CST is high because most nodes are outside of each other’s carrier sense range. If no groups are formed, the performance of G-DCF becomes the same as 802.11 DCF. From this result, we can conclude that it is a good practice to use G-DCF to allow concurrent transmissions for high spectral efficiency, while keeping CST low in order to prevent hidden terminals and thus improve fairness of the system.Figure 13
(a) Total throughput and (b) Jain’s fairness index varying carrier sense threshold.
(a)
(b)In all the experiments until now, the mobile stations were stationary and did not move. If the mobile stations move around, concurrent transmissions within a group may no longer succeed. As discussed earlier, a mobile station reports to its AP when the RSSI of its associated AP changes by a certain threshold value. The coordinator triggers a group update when it receives this message forwarded by the AP. In the final experiment, we made the mobile stations move in a random direction at a speed of 3.6 km/h, which is similar to the speed of a pedestrian. We have varied the threshold for group update from 1 dB to 16 dB. More group updates will be triggered with a low threshold, which would increase overhead but also would quickly reflect the changes in topology. All other parameters were fixed at their default values (80 m × 80 m area, 100 APs, and 20 nodes). The result is shown in Figure14.Figure 14
Results with mobile station mobility. The mobile stations move in the random direction at a speed of 3.6 km/h. (a) Throughput. (b) Packet loss ratio. (c) Group update rate.
(a)
(b)
(c)In Figure14(a), we have compared the throughput of 802.11 DCF and G-DCF when there is mobility and also measured the throughput of G-DCF when there is no mobility. When the threshold is low, the throughput of G-DCF with mobility is similar to that when there is no mobility. Since the groups are updated quickly, not much throughput is lost due to failed concurrent transmissions. Note that, in some cases, the system achieves higher throughput with mobility because the nodes move into better positions for concurrent transmissions. When the threshold becomes higher, some throughput is lost because the groups are not updated frequently and concurrent transmissions fail due to low SNR. Still, G-DCF achieves significantly higher throughput compared to 802.11 DCF, which does not allow concurrent transmission within the carrier sense range. Transmission failures due to outdated groups are reflected in Figure 14(b), which shows the packet loss ratio. The packet loss ratio of G-DCF increases with the threshold because nodes in a group may no longer be able to transmit concurrently once they move out of place. Then, the packet losses occur until the coordinator reassigns groups to the mobile stations. In Figure 14(c), the group update rate is measured. For example, when the threshold is 1 dB, each node reports a change of RSSI 1.8 times in a second. With 20 mobile stations, group updates are triggered 36 times in a second. If we assume the RSSI report packets are of the same size as the data packets (1500 bytes), the overhead for sending RSSI updates is approximately 0.4 Mbps. Although this amount of overhead is not so significant, the overhead increases with the number of nodes, and too frequent group updates could also burden the coordinator and the links between APs and the coordinator. The group update rate quickly drops down if we increase the threshold. For example, the number of group updates is 0.4 when the threshold is 3 dB and 0.13 when the threshold is 6 dB. It could be a better practice to set the threshold which does not trigger the group updates too frequently, but frequently enough to reflect the changes in topology.Figure15 shows the throughput over time, when the mobile stations move in pedestrian speed. It shows that the total throughput changes over time due to mobility of the stations. For example, the system achieves a very high throughput between 20 and 22 seconds because the nodes are positioned so that more concurrent transmissions are possible. When the threshold is 20 dB, the group update rarely occurs, and we can see that the system achieves lower throughput compared to the case with lower thresholds. Especially, from 20 to 45 seconds, the groups are not updated properly to reflect the newest topology and therefore does not achieve high throughput. The throughput patterns of 3 dB and 6 dB are similar, but we can observe that, for several occasions, throughput of 3 dB is higher than throughput of 6 dB, such as 25 to 27 seconds and 42 to 44 seconds. The higher throughput is achieved by quickly adapting to changes in the network topology.Figure 15
Throughput over time for G-DCF with different threshold for triggering group updates.In summary, G-DCF can achieve higher throughput and fairness compared to 802.11 DCF and DSC, by grouping potential exposed terminals and allowing them to transmit concurrently. With contention window adjustment, almost maximum fairness can be achieved at the cost of a slight degradation in system throughput. G-DCF works best when the density of AP is high, which is a practical scenario with the cost of APs becoming cheaper.


## 5.1. Simulation Setup

Performance evaluation of G-DCF was conducted using the ns-3 simulator [17]. The simulation environment consists of APs placed in a grid structure, and mobile stations randomly deployed throughout the whole area, as shown in Figure 2. Once deployed, each mobile station associates with the nearest AP. Each mobile station is assigned with either a downlink or an uplink UDP traffic, which starts once the simulation begins.For simulation parameters, we have used the 802.11a standard with 20 MHz channels. Data packets are sent at 54 Mbps rate, whereas control packets such as ACKs are sent at 24 Mbps. For path loss, we use the log-distance model with parameters described earlier in Section3. A UDP packet is 1472 bytes, which becomes 1500 bytes after adding UDP and IP header. Unless otherwise specified, we deploy 100 APs in a 80 m × 80 m area, and 20 mobile nodes are randomly placed inside the area. We assume that the mobile nodes always have UL or DL traffic, which makes them nodes with high traffic demand. The carrier sense threshold is −82 dBm, and CWmin and CWmax are 16 and 1024, respectively. For G-DCF, we have modified the PLCP header to include an 8-bit field called “Transmit Group ID (txgid).” The PLCP header of 802.11a is 48 bits. Thus, the PLCP header becomes 56 bits for G-DCF, which is an additional overhead for the protocol. To calculate the SNR threshold in equation (3), we use 23 dB as SNRmin and 2 dB as the margin M. With these set of default values, we have varied the number of nodes, number of APs, simulation area size, and carrier sense threshold in order to create various network environments.For performance metric, we have used the aggregate system throughput and Jain’s fairness index [18]. Measuring fairness is important because often protocols achieve high throughput by letting a small subset of nodes dominate the channel, which is an undesired behavior. We have compared four different protocols. The first one is “802.11 DCF,” which is the original DCF protocol. The second protocol is the dynamic sensitivity control protocol [13] proposed for IEEE 802.11ax standard. The protocol dynamically adjusts the carrier sense threshold based on the RSSI between AP and the mobile station. The carrier sense threshold is calculated according to equation (18), where Ci is the carrier sense threshold used for mobile station i and RSSIi is the RSSI of the associated AP measured at node i. For parameters, we use Margin=25dB, CSTmax=−62dBm, and CSTmin=−82dBm as suggested in the paper:(18)Ci=maxCmin,minCmax,RSSIi−Margin.The third and fourth protocols are G-DCF. We measure the throughput and fairness of G-DCF with and without the contention window adjustment described in Section4.3. With contention window adjustment, fairness among nodes is expected to improve but the total throughput will decrease by giving more chance to small groups and individual nodes. By comparing the two protocols, we study how the contention window adjustment scheme impacts the throughput and fairness of the system.


## 5.2. Results

In the first experiment, we have varied the number of mobile stations. We have deployed 100 APs in an 80 m × 80 m area, and 5 to 100 mobile stations are randomly placed in the area. The carrier sense threshold was fixed at −82 dBm. The result is shown in Figure10. The first observation to make is that the total throughput increases with the number of nodes for all protocols, as shown in Figure 10(a). This is because with more nodes, the chance that multiple nodes transmit concurrently is higher. Two nodes can transmit together if they are outside the carrier sense range of each other, or they happen to finish backoff at the same time. With more stations, the probabilities of both events are higher.Figure 10
(a) Total throughput and (b) Jain’s fairness index varying the number of mobile nodes.
(a)
(b)When two nodes transmit simultaneously, transmissions may fail due to low SNR at the receivers. This is possible when two closely located nodes accidentally finish backoff at the same time, or the nodes are hidden terminals to each other even when they are outside the carrier sense range. It is also possible that one of the packets is successfully received at the receiver, while the other packet is dropped due to low SNR. This happens when one node is close to its destination, while the other node is relatively far away from its destination. Suppose node A and node B transmitted concurrently but only node A successfully sent its packet to its destination. In that case, node B will double its contention window, while node A resets the contention window to the minimum value. Thus, it becomes more difficult for node B to access the channel. If node A is a hidden terminal to node B, then node B will very scarcely get a chance to send a packet because it constantly loses contention to node A. This is the major reason of unfairness in the CSMA/CA-based protocols, and that is why the fairness decreases as the number of nodes increases, as shown in Figure10(b).Comparing the protocols, we can see that DSC achieves higher throughput compared to 802.11 DCF, but its fairness is lower than DCF. If a node closer to the destination sets CST higher, these nodes will naturally have more chance of accessing the channel. Moreover, since these nodes transmit aggressively, more often they could become hidden terminals to nodes that are far away from their destinations. So we can say that DSC is achieving more throughput by giving more priority to mobile stations placed near the APs, which is not desirable in terms of fairness. For DSC, the throughput could become higher if we increaseCSTmax to a value higher than −62 dBm. However, it will create more hidden terminals, and the fairness will decrease further.On the contrary, G-DCF improves both throughput and fairness compared to 802.11 DCF. G-DCF achieves 1.5 to 2 times the throughput of 802.11 DCF, depending on the density of mobile stations. However, the fairness of 802.11 DCF drops significantly as the number of nodes increases, whereas the fairness of G-DCF is still very high. With contention window adjustment, the fairness is almost 1.0 even with a large number of nodes. As previously described, the throughput improvement is achieved because more nodes transmit concurrently due to colliding backoff counters and hidden terminals. Since this behavior favors the nodes close to the destination, fairness is significantly degraded. This behavior occurs much less frequently in G-DCF because nodes are grouped together. Suppose a node is in a position where a hidden terminal always interferes with the node and prevents the node from successfully transmitting its packet. In G-DCF, this node could be grouped with other nodes so that it can transmit together with the other nodes in the group. The hidden terminal which interfered with the node in 802.11 DCF can now be blocked by the other nodes in the group. Also, since node groups contend for the channel instead of individual nodes, the number of contenders is smaller in G-DCF compared to 802.11 DCF. Thus, G-DCF shows higher throughput and fairness compared to 802.11 DCF, which is desirable for practical use.In the second experiment, we varied the number of APs. Fixing the area size, we increased the number of APs from 4 to 256. The other parameters are the same as previous experiment (80 m × 80 m area, 20 nodes,CST=−82dBm). The result is shown in Figure 11. Intuitively, the system throughput increases with increasing AP density. High AP density means the average distance between a mobile station and its associated AP is shorter. If the average distance is small, there is a higher probability that the transmission is successful when the nodes transmit concurrently. For G-DCF, more nodes can be grouped together because the SNR at the receiver is higher with more APs. For example, with 256 APs, the throughput can go up to 210 Mbps, which is equivalent to seven nodes transmitting concurrently, in average. (When there is a single pair of nodes, the UDP throughput is approximately 30 Mbps with saturated traffic.) With 256 APs, G-DCF (without contention window adjustment) could achieve 3 times the throughput of 802.11 DCF, with higher fairness index. On the contrary, DSC achieves 1.4 times the throughput of 802.11 DCF, with similar level of fairness. The fairness also increases with density of APs because when multiple nodes accidentally transmit due to collisions in backoff, there is higher chance that both transmissions will still survive. In other words, not many nodes suffer starvation due to frequent collisions, which is why the system achieves good fairness.Figure 11
(a) Total throughput and (b) Jain’s fairness index varying the number of APs.
(a)
(b)In the third experiment, we varied the size of simulation area from 1600 m2 (40 m × 40 m) to 160000 m2 (400 m × 400 m), while fixing the number of APs at 100. 20 mobile nodes are randomly deployed in the area, and the carrier sense threshold is fixed at −82 dBm. The result is shown in Figure 12. When area size is small, G-DCF achieves higher throughput and fairness compared to 802.11 DCF and DSC. However, as the area size becomes larger, the difference in both throughput and fairness diminishes. This is because when the network is sparse, not many exposed terminals exist in the network. When the network is very sparse, many pairs of nodes are outside carrier sense range, so they are not grouped together. Thus, the benefit of G-DCF diminishes when the network becomes sparse. For DSC, since the average RSSI of APs decreases with decreasing network density, the carrier sense threshold of nodes becomes lower, near CSTmin which is −82 dBm. Thus, the performance of DSC also becomes similar to that of 802.11 DCF. From this experiment, we can see that the benefit of G-DCF is higher when the network is dense.Figure 12
(a) Total throughput and (b) Jain’s fairness index varying size of the simulation area.
(a)
(b)In Figure12(b), we can see that the fairness of 802.11 DCF shows a different behavior compared to other protocols. Specifically, the fairness of 802.11 DCF is especially low when the area size is 5000–15000 m2. It is because that is the point when the area becomes slightly larger than the carrier sense range. When the simulation area is smaller than 5000 m2, almost the entire area is blocked by a transmission. But if the area size becomes larger, nodes at the edge of the area can transmit more often because they are outside the carrier sense range of each other. On the contrary, nodes at the center of the area have less chance of transmission because they have to contend with all nodes at the edge of the area. This is the reason the fairness is low. Once the area size becomes larger, the privilege of nodes at the edge of the area becomes smaller because now the nodes at the center are also outside the carrier sense range of the edge nodes. This behavior is not shown in G-DCF because nodes at the center can be grouped with nodes at the edge. If these nodes transmit together as a group, there is no privilege for the edge nodes because the nodes at the other edge will be blocked by the nodes at the center of the area.In the next experiment, we varied the carrier sense threshold from −94 dBm to −44 dBm, whereas the other parameters are fixed at their default values (80 m × 80 m area, 100 APs, and 20 nodes). For this experiment, we have compared 802.11 DCF and G-DCF with and without contention window adjustment because DSC does not use a fixed carrier sense threshold. The result is shown in Figure13. The throughput and fairness of G-DCF is higher than 802.11 DCF when the CST is low, but their performance becomes similar when the CST is high. Since the group formation algorithm of G-DCF only groups nodes that are within the carrier sense range, not many groups are established when CST is high because most nodes are outside of each other’s carrier sense range. If no groups are formed, the performance of G-DCF becomes the same as 802.11 DCF. From this result, we can conclude that it is a good practice to use G-DCF to allow concurrent transmissions for high spectral efficiency, while keeping CST low in order to prevent hidden terminals and thus improve fairness of the system.Figure 13
(a) Total throughput and (b) Jain’s fairness index varying carrier sense threshold.
(a)
(b)In all the experiments until now, the mobile stations were stationary and did not move. If the mobile stations move around, concurrent transmissions within a group may no longer succeed. As discussed earlier, a mobile station reports to its AP when the RSSI of its associated AP changes by a certain threshold value. The coordinator triggers a group update when it receives this message forwarded by the AP. In the final experiment, we made the mobile stations move in a random direction at a speed of 3.6 km/h, which is similar to the speed of a pedestrian. We have varied the threshold for group update from 1 dB to 16 dB. More group updates will be triggered with a low threshold, which would increase overhead but also would quickly reflect the changes in topology. All other parameters were fixed at their default values (80 m × 80 m area, 100 APs, and 20 nodes). The result is shown in Figure14.Figure 14
Results with mobile station mobility. The mobile stations move in the random direction at a speed of 3.6 km/h. (a) Throughput. (b) Packet loss ratio. (c) Group update rate.
(a)
(b)
(c)In Figure14(a), we have compared the throughput of 802.11 DCF and G-DCF when there is mobility and also measured the throughput of G-DCF when there is no mobility. When the threshold is low, the throughput of G-DCF with mobility is similar to that when there is no mobility. Since the groups are updated quickly, not much throughput is lost due to failed concurrent transmissions. Note that, in some cases, the system achieves higher throughput with mobility because the nodes move into better positions for concurrent transmissions. When the threshold becomes higher, some throughput is lost because the groups are not updated frequently and concurrent transmissions fail due to low SNR. Still, G-DCF achieves significantly higher throughput compared to 802.11 DCF, which does not allow concurrent transmission within the carrier sense range. Transmission failures due to outdated groups are reflected in Figure 14(b), which shows the packet loss ratio. The packet loss ratio of G-DCF increases with the threshold because nodes in a group may no longer be able to transmit concurrently once they move out of place. Then, the packet losses occur until the coordinator reassigns groups to the mobile stations. In Figure 14(c), the group update rate is measured. For example, when the threshold is 1 dB, each node reports a change of RSSI 1.8 times in a second. With 20 mobile stations, group updates are triggered 36 times in a second. If we assume the RSSI report packets are of the same size as the data packets (1500 bytes), the overhead for sending RSSI updates is approximately 0.4 Mbps. Although this amount of overhead is not so significant, the overhead increases with the number of nodes, and too frequent group updates could also burden the coordinator and the links between APs and the coordinator. The group update rate quickly drops down if we increase the threshold. For example, the number of group updates is 0.4 when the threshold is 3 dB and 0.13 when the threshold is 6 dB. It could be a better practice to set the threshold which does not trigger the group updates too frequently, but frequently enough to reflect the changes in topology.Figure15 shows the throughput over time, when the mobile stations move in pedestrian speed. It shows that the total throughput changes over time due to mobility of the stations. For example, the system achieves a very high throughput between 20 and 22 seconds because the nodes are positioned so that more concurrent transmissions are possible. When the threshold is 20 dB, the group update rarely occurs, and we can see that the system achieves lower throughput compared to the case with lower thresholds. Especially, from 20 to 45 seconds, the groups are not updated properly to reflect the newest topology and therefore does not achieve high throughput. The throughput patterns of 3 dB and 6 dB are similar, but we can observe that, for several occasions, throughput of 3 dB is higher than throughput of 6 dB, such as 25 to 27 seconds and 42 to 44 seconds. The higher throughput is achieved by quickly adapting to changes in the network topology.Figure 15
Throughput over time for G-DCF with different threshold for triggering group updates.In summary, G-DCF can achieve higher throughput and fairness compared to 802.11 DCF and DSC, by grouping potential exposed terminals and allowing them to transmit concurrently. With contention window adjustment, almost maximum fairness can be achieved at the cost of a slight degradation in system throughput. G-DCF works best when the density of AP is high, which is a practical scenario with the cost of APs becoming cheaper.


## 6. Conclusion

The exposed terminal problem is a major factor that limits system spectral efficiency of wireless LANs. Exposed terminals are created from the fact that carrier sensing is done at the sender, whereas the channel status at the receiver is important for successful delivery of packets. In 802.11 DCF, nodes do not know whether they can transmit concurrently or not because they do not know the channel status at the receiver. Even if the nodes know which nodes can transmit concurrently, the MAC protocol should support concurrent transmission efficiently.In this paper, we proposed G-DCF, a MAC protocol for wireless LANs which improves system throughput over 802.11 DCF by allowing exposed terminals to transmit concurrently. The main idea is to establish groups in the network and have all nodes in the same group transmit together. To form groups, mobile stations measure RSSI of the neighboring APs and report the information to the APs. A coordinator gathers the information and makes groups based on the group formation algorithm. At the end of the algorithm, each mobile station is assigned two group IDs, one for downlink and one for uplink. In order to enable concurrent transmission, the group ID is included in the signal field of the preamble. Whenever a node receives a preamble from another node, it compares the group ID in the preamble and the group ID of itself. If the node has the same group ID with the preamble sender, the node immediately starts transmitting its packet. If the node is not in the same group with the preamble sender, the node sets NAV and defers its transmission, similar to 802.11 DCF.Performance evaluation shows that G-DCF substantially improves system throughput compared to 802.11 DCF and DSC, a protocol which uses dynamic CST control. G-DCF also achieves higher fairness compared to 802.11 DCF, by reducing the number of contenders to groups instead of individual nodes. Also, nodes that suffered starvation because of hidden terminals can avoid starvation in G-DCF by getting into groups with other nodes. In summary, we believe G-DCF is a practical protocol that can be used to improve system spectral efficiency of wireless LANs. In the future, we plan to implement G-DCF on a FPGA-based software-defined radio (SDR) test bed in order to study the feasibility and real-life performance of the protocol.



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*Source: 5427573-2019-09-11.xml*