Patent Application: US-49290209-A

Abstract:
an rfid reader for reading rfid tags is disclosed . the rfid reader is provided with a clock generating clock signals ; a transceiver ; a control unit receiving the clock signals ; and a memory accessible by the control unit and storing computer executable instructions to cause the control unit to generate a communication schedule based upon confirmed reservation requests , and to read rfid tags employing the communication schedule . a rfid tag is also disclosed . the tag is provided with transmit / receive circuitry ; a clock ; a control unit ; powering up circuitry including a power source ; and memory storing an electronic product code . the memory also stores computer executable instructions that cause the control unit to receive a broadcast from a reader ; synchronize the clock of the tag with the reader ; generate and transmit a reservation request ; receive a reservation summary including a reserved time to transmit ; transmit the epc ; and receive an acknowledgement .

Description:
before explaining at least one embodiment of the invention in detail , it is to be understood that the invention is not limited in its application to the details of construction , experiments , exemplary data and / or the arrangement of the components set forth in the following description or illustrated in the drawings . the invention is capable of other embodiments or of being practiced or carried out in various ways . also , it is to be understood that the phraseology and terminology employed herein is for the purpose of description and should not be regarded as limiting . it should be understood that tag reading protocols can be collision based or non - collision based . the term collision or non - collision is used in the context when the tag sends its epc ( electronics product code ) number . collision occurs when two or more tags send their epc number to the reader at the same time . as with aloha based protocols the deterministic protocols such as tree protocols go in rounds to select the tag that has to send its epc number . the number of rounds is dictated by the total number of tags that have information to send to the reader but it is bounded by the number of bits needed to represent the epc number . for example at the beginning of the round , the reader will ask all tags that start with a 0 ( in the bit representation of the epc number ) to send information . if there is more than one tag which starts with a 0 , the reader will issue the bit string ‘ 1 ’ and continue along with ‘ 01 ’ and so on . after a few rounds the tags will have been appropriately grouped and now the reservation phase , reservation summary phase , transmission phase , and acknowledgement phase can be executed for each group separately , as discussed in more detail below . this illustrates that the present protocol can be embedded as part of other tag reading protocols to resolve collision ( s ) quickly and improve the tag reading rate . referring to the drawings , and in particular to fig1 , shown therein and designated by reference numeral 10 is a rfid system 10 utilizing a framework for fast rfid tag reading in static and mobile environments constructed in accordance with the present invention . the rfid system 10 includes at least one reader 12 and a plurality of rfid tags 14 ( illustrated by reference numerals 14 a - 14 o , only 6 of which are labeled ). although 15 rfid tags 14 are shown therein , it should be understood that the rfid system 10 can be comprised of any number of rfid tags 14 . shown in fig2 and 3 are block diagrams of an exemplary rfid tag 14 and an exemplary functional diagram of a control unit 20 of the rfid tag 14 which are constructed in accordance with the present invention . the rfid tag 14 is provided with a memory 16 , a powering up circuitry 18 , a control unit 20 , and a transmit / receive unit 22 . the powering up circuitry 18 provides the power needed for all the other units to operate . the power source of the powering up circuitry 18 can be either an ac / dc source ( which is a feature of active rfid tags ) or power harvested from rf waves from the rfid reader system 10 ( which is a feature of the passive rfid tags ). upon powering up , the transmit / receive unit 22 is responsible for converting the modulation and demodulation functions . the rf signal received by the transmit / receive unit 22 is demodulated into a bit string which is passed on to the control unit 20 . the bit string sent by the control unit 20 is modulated into a rf wave by the transmit / receive unit 22 . the control unit 20 is programmed with suitable logic to recognize the bit string , start a clock , start a timer , reset a timer , generate one or more random number ( s ), perform modulo arithmetic , perform arithmetic comparisons , and read and write to memory 16 . the control unit 20 can be implemented utilizing one or more processing device which can be embedded on the rfid tags , such as one or more microcontroller ( s ), one or more microprocessor ( s ), one or more digital signal processor ( s ), or one or more field programmable gate array . logic in the form of software instructions or hardware for performing the afsa functions described herein is stored in a computer readable medium , such as the memory 16 and is typically accessed by the control unit 20 to perform the afsa functions described herein . for example , there are systems which can etch the circuitry directly on the tag capable of performing the desired functions . the control unit 20 of the rfid tag 14 is typically programmed to provide a bit string recognizer / parser unit 24 , a clock 26 , a random number generator 28 , a modulo arithmetic operator 30 , and a memory reader and writer 32 . the bit string recognizer / parser unit 24 is responsible for recognizing the input from the reader 12 . for example the reader 12 can start the advertisement phase ( see fig7 ) by broadcasting two numbers along with the prefix bit string indicating that it is the advertisement phase . the rfid tag 14 should parse the bit string and recognize it is indeed in the advertisement phase and perform appropriate functions as specified in the afsa protocol . it is also needed as part of the reservation summary phase ( see fig9 ), wherein each rfid tag 14 checks if the reserved time slot is available for them . this requires for each rfid tag 14 to , first recognize that the reservation summary phase is based on a prefix bit string sent from the reader 12 , and second to check if a bit string sent from the reader 12 has a bit of ‘ 1 ’ in a particular position . the clock 26 is turned on when the control unit 20 is turned on by the powering up circuitry 18 . a timer is part of the clock 26 which can be started and stopped at specified intervals of time . this is useful for recognizing the beginning and end of time slots . the functions of the other units are straight forward to understand as they are part of the protocol implementation . the rfid tag 14 or the reader 12 can be provided with any suitable processing device capable of performing the functions described herein , such as a microprocessor , digital signal processor , field programmable gate array or a microcontroller . most rfid tags 14 that are commercially available have a microcontroller capable of performing the above described functions . turning now to the proposed afsa framework — system model . generation 1 rfid systems work either in the 13 . 56 mhz ism band or 900 mhz uhf band , while generation 2 systems can work in the 860 mhz - 960 mhz uhf band . described herein is a collision limited 900 mhz uhf rfid system where the tags communicate with the reader over a shared channel . [ 16 ]—( khandelwal , 2005 ), [ 19 ]—( khandelwal et al ., 2006 ) have considered such a system and shown that the received snr is high enough to justify this assumption when passive tags are communicating over a short range . however , it should be understood that the proposed afsa framework can be adapted for rfid systems that work in the 13 . 56 mhz or 860 - 960 mhz bands too by appropriately changing the slot timing values in the design expressions . in the rfid system 10 described herein , the reader 12 uses a 900 mhz continuous wave to power the rfid tags 14 . each rfid tag 14 transmits its epc ( which is assumed to be 64 bits ) along with a 16 bit crc ( cyclic redundancy check code ) with a symbol duration of 4 μs [ 20 ]—( 2003 ). rfid tags 14 employ fsk ( frequency shift keying ) backscatter modulation to transmit their data . reader 12 uses the symbols ‘ 0 ’, ‘ 1 ’, and ‘ null ’ to communicate with the tags . the symbols ‘ 0 ’ and ‘ 1 ’ are used for constructing commands while the ‘ null ’ symbol is used for marking the beginning of a command , the end of a command , and the end of a slot within a frame . the duration of these symbols is 12 . 5 μs [ 20 ]—( 2003 ). reader 12 communicates with rfid tags 14 in ‘ rounds ’ whose structure is shown in fig6 for example . a flow diagram of the logic of an rfid tag state machine under afsa is illustrated with reference to fig4 and described below . the process will be described with passive tags . however , it should be understood that such process is equally applicable to active tags with the exception of the unpowered state . to begin with , all the rfid tags 14 are in an unpowered or passive state 100 . the reader 12 sends the reset , oscillator calibration , and data symbol calibration signals listening to which the rifd tags 14 move to the active state 110 . the reader 12 then advertises the group size and the frame size to the rfid tags 14 . if the advertised group size is 1 , all rfid tags 14 move to the select state 112 . if the advertised group size is greater than 1 , the rfid tags 14 carry out a modulo operation as described below . rfid tags 14 that have a remainder zero move to the select state 112 while other rfid tags 14 remain in the active state 110 . rfid tags 14 in the select state 112 exchange a few bits of information with the reader 12 . for example , the reader 12 can exchange three bits of information in order to advertise n to the rfid tags 14 . after this exchange , some of the rfid tags 14 in the select state 112 transit to the transmit state 114 while the remaining rfid tags 14 go back to the active state 110 . in the transmit state 114 , the rfid tags 14 send their epc codes to the reader 12 . if a rfid tag &# 39 ; s 14 transmission is successful , it goes to the identified state 118 and if not , it goes back to the active state 110 . the proposed afsa framework has five phases to complete a single round of tag reading . the overall structure of a round of operation under afsa is shown in fig6 and the individual phases are described below . ( 1 ) advertisement phase ( see structure shown in fig7 ). during this phase , the reader 12 broadcasts the frame size ( n ) and the number of groups ( m ) to all the rfid tags 14 that are within its range . the parameters n and m are decided by the underlying aloha protocol ( for example , the aloha protocol can be either dfsa or edfsa ). in the case of dfsa , the protocol assumes the frame size to be unlimited and does not follow any grouping . therefore , the value of m is set to 1 . the value of n value is set to { circumflex over ( k )}, the estimated number of unread rfid tags 14 in the reader &# 39 ; s 12 vicinity . in the case of edfsa , the values for n and m are chosen as per the table shown in fig5 by approximating k with { circumflex over ( k )}. in addition to m and n , the reader 12 also advertises n ( a reservation request ), which is a parameter introduced by the afsa framework and will be discussed in more detail below . once the values of n and m are known , the rfid tags 14 first determine their eligibility to participate in the ensuing round . if m = 1 , all rfid tags 14 are allowed to participate and if m & gt ; 1 , each rfid tag 14 determines its eligibility as per the methodology described herein . each eligible rfid tag 14 transits to the select state 112 and generates another random number which is uniformly distributed in the range of 1 to n . this number identifies the slot that the rfid tag 14 has chosen to transmit its data . ( 2 ) reservation phase ( see structure shown in fig8 ). in this phase , the rfid tags 14 in the select state 112 let the reader 12 know about the slots that they have chosen . unlike other slotted aloha protocols where the rfid tags 14 send their data right away in the chosen slot , in afsa the rfid tags 14 transmit an n bit sequence in their chosen slot , where n is the number advertised by the reader in the advertisement phase . for a given value of n , there are 2 n possible n bit sequences . a rfid tag 14 randomly picks one of these 2 n sequences and transmits it to the reader 12 in the slot chosen by it . if the reader 12 successfully receives an n bit sequence in a slot , it perceives that slot to be successfully reserved by some rfid tag 14 for transmitting its data . on the other hand , if the reader 12 receives a garbled signal in a slot it understands that a collision has occurred between two or more rfid tags 14 in that slot . ( 3 ) reservation summary phase ( see structure shown in fig9 ). during this phase , the reader 12 informs the rfid tags 14 about the status of their slot reservations . the reservation status is advertised through a bitmap of length n . for example , assuming n = 4 , the bitmap 1001 indicates that an n bit sequence was successfully received by the reader 12 in the slots numbered 1 and 4 . this implies that , those rfid tags 14 that had chosen slots 1 and 4 were successful in their reservation . in other words , occurrence of bit 1 in location i indicates that only one rfid tag 14 had chosen slot i . during slots 2 and 3 , the reader 12 did not successfully receive any n bit sequence . this can indicate one of the two possibilities : ( i ) collisions — these slots were chosen by more than one rfid tag 14 and when the tags transmitted their randomly chosen n bit sequences , collision occurred and consequently , the reader 12 was not able to decode the received signal ; or ( ii ) idle — the slots were not chosen by any of the rfid tags . in other words , occurrence of bit 0 in location i indicate that slot i has been wasted either due to collisions or idleness . ( 4 ) data transmission phase ( see structure shown in fig1 ). after the reservation summary phase , all the participating rfid tags 14 will be aware of the status of their reservations . only those rfid tags 14 that find their reservations to be successful will move to the transmit state 114 and will transmit their data in the data transmission phase . the remaining rfid tags 14 will go back to the active state 110 . note that if s is the total number of ‘ 1 ’ s in the summary bitmap , it is clear that only s data transmissions are possible , where s ≦ n . hence , it is enough if there are just s data transmission slots . a rfid tag 14 that finds a ‘ 1 ’ in the summary bitmap in the location corresponding to its chosen slot ( say i ) can easily determine its turn in the sequence of s transmissions by counting the number of ‘ 1 ’ s in the summary bitmap starting from location one until location i . for example , if the summary bitmap is 1001 , the rfid tag 14 that had reserved the fourth slot in the reservation phase should transmit second in the data transmission phase . ( 5 ) acknowledgment phase ( see structure shown in fig1 ). this is the final phase in which the reader 12 acknowledges the data transmitted by the rfid tags 14 . the acknowledgment is sent in the form of bits — a ‘ 1 ’ indicates that the transmission in that corresponding slot was received successfully and a ‘ 0 ’ indicates that the transmission was not successful . all rfid tags 14 that received a positive acknowledgment from the reader will transit to the identified state 118 and become muted . such rfid tags 14 will not participate further in the tag reading process . rfid tags 14 that received a negative acknowledgment will go back to the active state 110 and will participate in the reading process again . duration of a round : let t denote the total duration of a round . let t ad , t r , t su , t d , and t ack respectively denote the durations of the advertisement , reservation , summary , data transmission , and the acknowledgment phases . now , t can be written as : from the system model , it is clear that when the epc is transmitted along with the crc , the symbol duration is 4 μs . for all other transmissions , the symbol duration is 12 . 5 μs . therefore , we can express let t ad , t r , t su , t d , and t ack as follows ( all in μs ): in the afsa framework , the total number of information bits that are exchanged between the reader 12 and the rfid tags 14 is n n + n + 64s . in the original protocols ( dfsa or edfsa ), 64n number of bits are exchanged between the reader 12 and the rfid tags 14 . since s ≦ n , by choosing n & lt ;& lt ; 64 , the total number of bits exchanged during a single round in afsa can be made smaller than that of the base protocols . this in turn can lead to quicker rounds and smaller tag reading times . in order to advertise the appropriate frame size ( n ) and the group number ( m ), the reader 12 has to arrive at { circumflex over ( k )}— an estimate on the actual number of tags k that need to be read . several tag estimation strategies have been proposed by researchers in [ 12 ]—( vogt , 2002 ), [ 13 ]—( cha et al ., 2006 ), [ 19 ]—( khandelwal et al ., 2006 ), [ 21 ]—( murali et al ., 2006 ) and any of them can be used . the strategy suggested in [ 19 ]—( khandelwal et al ., 2006 ) is described herein on account of its simplicity and adequate accuracy . however , it would be understood that other estimation strategies can be used in the present invention without departing from the inventive aspects recited herein . for the sake of completeness , the tag estimation strategy is reproduced herein below . let e [ i ] be the expected number of idle slots when the frame size is n and the participating rfid tag 14 count is k . it is possible to express e [ i ] as e [ i ]= n ( 1 − 1 / n ) k . let z i be the total number of idle slots observed by the reader 12 in a given round . then by approximating e [ i ] with z i , we can estimate the number of rfid tags 14 that would have participated in that round as : the number of rfid tags 14 that will participate in the next round can be arrived as r exp - z s , where z s to the number of successful slots observed in that round . in cases where no idle slots have been observed , i . e ., z i = 0 , the tag count is estimated to be the lower bound of z s + 2z u where z u refers to the number of collision slots observed in a given round . it is to be noted that if the underlying protocol dictates that the group count m be greater than 1 , then only a fraction of the unread rfid tags 14 would have participated in a round . therefore , in such a scenario , an estimate on the actual number of unread rfid tags 14 can be arrived at by multiplying the estimated tag count with the number of groups m . in the discussions above , it was mentioned that during the reservation phase , each rfid tag 14 transmits a randomly chosen n bit sequence in the slot selected by it . if more than one rfid tag 14 chooses the same slot , a collision occurs . the reader 12 can detect this collision only if the bit sequences transmitted by the rfid tags 14 that chose the same slot are different . however , if all the rfid tags 14 that chose the same slot transmit the same n bit sequence , the reader 12 cannot detect the collision occurring in that slot . the consequence of a collision going undetected is that the reader 12 may wrongly interpret a slot reservation to be successful when in reality , it is not . this incorrect interpretation will lead to collisions in the data transmission phase . in other words , undetected collisions will increase the number of bits wasted in a round which in turn increases the round time and thereby the overall tag reading time . the probability of a collision going undetected depends on two factors — a ) the probability of more than one tag choosing the same slot and ( b ) the probability of all the tags that chose the same slot selecting the same n bit sequence . the former is decided by the value of frame length n and the number of tags k competing for the slots , while the latter is decided by the value of the parameter n . since the values of n and k are decided by the underlying protocol , afsa has no control over them . the only parameter that can be varied to reduce the number of undetected collisions is n , the length of the bit sequence used by the tags to reserve their slots . intuitively , it is clear that by opting for a large value for n , the number of undetected collisions can be decreased . however , increasing the value of n also implies that the rfid tags 14 have to transmit more number of bits in the reservation phase , thereby increasing the round time and overall tag reading time . thus both smaller and larger values of n increase the overall round time . we now describe how to determine the optimal value n * that minimizes the total round time for given values of n and k . a closer look at the different phases of the proposed framework will reveal that , the value of n significantly affects the durations of the reservation , data transmission , and acknowledgment phases alone . once the durations of these phases are known in terms of n , n * can be determined by differentiating their sum with respect to n and equating the outcome to zero . we now reproduce the expressions for t r , t d , and t ack below : the parameter s represents the total number of successful slot reservations as perceived by the reader 12 in the reservation phase . it is possible to write s as follows : where e [ r ] represents the average number of slots that were truly reserved ( i . e ., these are the total number of slots that were each selected by exactly one rfid tag 14 ) and e [ uc ] represents the average number of collision slots that were undetected by the reader 12 . since the rfid tags 14 choose one among the n slots as per a uniform distribution , the value for e [ r ] can be written as [ 14 ]—( lee et al ., 2005 ): a collision goes undetected when more than one rfid tag 14 chooses the same slot and all the tags corresponding to a given slot select the same n bit sequence . let x ( i ) be the expected number of slots that have been selected by exactly i tags . x ( i ) can be written as since the slot selection and the n - bit sequence selection are independent of each other , the expected number of undetected collisions that may happen in slots with tag occupancy i can be written as : e [ uc | occupancy = i ]= x ( i ) p i , where p i is the probability that all the i tags in a slot choose the same n bit sequence and is given by now the expected number of undetected collisions that may happen in all the n slots can be written as : while the above expression gives the accurate value of e [ uc ], it becomes a little cumbersome to handle when we attempt to find n *. we derive an alternate , simpler expression that gives an approximate value of e [ uc ] and use this expression to determine n *. let e [ u ] represent the total number of slots that were chosen by more than one rfid tag 14 . the value for e [ u ] is given by : where e [ i ] refers to the total number of slots that were not chosen by any of the rfid tags 14 ( idle slots ). given that each tag independently selects any particular slot with equal probability , e [ i ] can be written as [ 13 ]—( cha et al ., 2006 ). it is easy to observe that if the reader 12 fails to detect a collision in a particular slot , then that slot should be one of the e [ u ] slots . also by definition , each of the e [ u ] slots is chosen by at least two tags ( possibly more ). therefore , if p 2 represents the probability of two tags selecting the same n bit sequence in the reservation phase , then e [ uc ] can be written as : it can also be noted that p 2 is equal to ½ n . we use the above upper bound to approximate e [ uc ] in our n * estimation . combining the above , and minimizing the sum of t r , t d , and t ack with respect to n gives us n * which can be written as : using the above value of n * in the protocol minimizes the total round time for given values of n and k . remarks on the approximation : as mentioned above , for analytical tractability , the actual value of e [ uc ] is approximated with an upper bound . in order to get some perspective on the tightness of this bound , the actual values of e [ uc ] and the upper bound used for approximation are shown in fig1 . in obtaining these values , the relation n = k was followed , since this is the optimal frame size for aloha based tag reading protocols with equal slot sizes . from fig1 , the approximation used introduces an error of roughly 35 %. since we approximate e [ uc ] by an upper bound , the resulting value of n * will be conservative , i . e ., it will be greater than or equal to the true value of n *. in spite of using this conservative n * value , it has been found that the performance of the afsa framework is still better than that of standalone aloha protocols . one of the biggest challenges facing rfid tag reading protocols is to read the tags effectively and efficiently when the rfid tags 14 are mobile and are passing through the readers &# 39 ; 12 range as in the case of assembly lines . the challenge arises out of the fact that in a mobile setting , the reader 12 has a limited time to complete the reading process . the rfid tags 12 get muted or killed not only after a successful read but also when they leave the reader &# 39 ; s 12 field , whichever occurs first . the focus of the following discussion is to extend the proposed afsa framework to a mobile setting and design the initial rfid tag population , tag arrival and departure rates such that a desired tag reading probability is guaranteed . for simplicity purposes , the m - afsa system is adopted similar to the one used in [ 19 ]—( khandelwal et al ., 2006 ). that is , we consider a 900 mhz rfid system in which the rfid tags 14 arrive into the reader 12 region on a conveyor belt moving with a constant velocity v . in stationary rfid systems , the reader 12 calibrates and synchronizes the rfid tags 14 only at the beginning of the identification process . in mobile rfid systems , since new rfid tags 14 may continuously enter the reader &# 39 ; s field , the reader 12 should be able to accommodate intermediate tag calibration and synchronization . in order to achieve this , at the beginning of each round , the reader 12 transmits the ‘ oscillator calibration ’ signal to synchronize the newly arrived rfid tags 14 . the round structure adopted in m - afsa is shown in fig1 and the system set up is shown in fig1 . the reader 12 is located at a height of h meters above the conveyor belt on which the rfid tags 14 arrive . the reader 12 is assumed to be capable of communicating with a rfid tag 14 as long as the distance between the tag 14 and the reader 12 is less than l max , the maximum operating range of the reader 12 . the rfid tags 14 spend a total time of t = t e + t o in the reader &# 39 ; s 12 vicinity where , t e is the time duration during which rfid tags 14 get energized and synchronized and t o is the operating time available for the rfid tags 14 to transmit their data before they leave the reader &# 39 ; s 12 field . it is easy to see that as in [ 19 ]—( khandelwal et al ., 2006 ), we choose t e = t + t cal + t null to guarantee that each new batch of rfid tags 14 get at least one calibration cycle before they can transmit their data . as before , t refers to the duration of a round . let q denote the number of rounds a rfid tag 14 can participate in the reading process when it is passing through the reader &# 39 ; s 12 range . it is easy to observe that : let p be the rfid tag 14 reading rate that is desired . if p r is the average probability of a rfid tag 14 being read in a given round , it is clear that p r should satisfy the following condition : we denote the group of rfid tags 14 that enter the reader &# 39 ; s field at the beginning of round i as group g i tags . let φ be the arrival rate of the rfid tags 14 . since the rfid tags 14 are moving on a conveyor with constant velocity , the tag arrival rate is equal to the tag departure rate . under this set up , to complete the design of m - afsa , we need to find g i , p r t , and φ such that equations 11 and 12 are satisfied . the design of m - afsa is influenced by the base protocol under consideration . m - afsa design is notably different for dfsa and edfsa owing to the philosophical difference ( in terms of using limited and unlimited frame sizes ) in the base protocols themselves . in the following paragraphs , we delineate the design of m - afsa for dfsa and edfsa . in dfsa , the number of rfid tags 14 participating in a round g i , influences the round duration t . on the surface , it may seem that g i , can affect the value of p r too . however , as the following arguments show , the success probability p r remains unaffected by g i . this is because , in dfsa , under ideal conditions , the frame size n i , in a given round i is always chosen such that n i = g i . with this relation , the expected number of rfid tags 14 to be successfully read in a round is given by : thus we can arrive at p r = 0 . 368 , which is independent of g i . having determined p r , the number of rounds required to meet the desired read percentage can be found from equation 12 as : from q and equation 11 , the duration available for a single reading cycle t can be derived as : let g 1 denote the number of rfid tags 14 participating in round 1 . it is clear that at the end of round 1 , 0 . 368g 1 tags will be successfully read by the reader 12 . the key in m - afsa is to keep the number of unread tags in each round to be approximately the same at g 1 , i . e ., g i = g 1 for all i . since 0 . 368g 1 tags are read on an average in round 1 , the number of new tags that enter the reader &# 39 ; s field in round 2 is set to 0 . 368g 1 , i . e ., φ ( t + t cal + t null )= 0 . 368g 1 from which φ can be determined . this also means that 0 . 368g 1 tags leave the reader &# 39 ; s field at the end of every round . all that remains now is to determine the g 1 value which will satisfy the t obtained above in equation 15 . estimating g 1 : for convenience , we re - state equation 1 that defines t here : we now proceed to express ( recalling that in dfsa , the number of groups m = 1 ) n , n , and s in terms of g 1 . since the frame size is always equal to the number of rfid tags 14 , n = g 1 . in afsa , we always use the optimal value of n given in equation 10 . by substituting n = g 1 and k = g 1 in this expression and through simple algebra , we can arrive at the result n *= 2 , i . e ., when n = k = g 1 , the optimal value for n is a constant and equals 2 . using this result and from equations 5 , 6 , 8 , and 9 , we can arrive the following : having expressed n , n , and s in terms of g 1 , we can now write t ( in μs ) given in equation 16 as recall that to complete the design of m - afsa with dfsa as the underlying protocol , parameters g i , p r , t , and φ have to be determined such that equations 11 and 12 are satisfied . it is clear that the above discussions precisely enable us to achieve this . therefore , the design of m - afsa with dfsa as the underlying protocol is complete . in edfsa , on account of assuming an upper bound on the frame size , the number of rfid tags 14 participating in a round g i , not only affects the round time t but also the success probability , p r . in designing m - afsa for edfsa , we severe the dependency of t on g i by using a conservative value for t . the t value chosen is conservative in the sense it minimizes q , the number of rounds in which a rfid tag 14 can participate . once a conservative value of q is estimated , we determine the g i values such that the resulting probability p r satisfies equation 12 . this will complete the design of m - afsa for edfsa . a conservative estimate for q : as equation 11 shows , q depends on t and t . the value of t is determined by the system architecture , while t depends on n , k , and n . the actual value of n ( the number of reservation slots ) is determined by the number of unread tags k that are present within the reader &# 39 ; s range . since we use edfsa as the base protocol , the n value varies as shown in table i illustrated in fig5 . in a mobile setting , as there is a continuous stream of unread rfid tags 14 arriving into the system , it is advantageous to set n at the maximum possible value so as to increase the system throughput . this implies that n can be fixed at 256 . with n set at 256 , the value of t can be determined if the parameter s is known . the value of s depends on k and n *. the value of n * used in afsa is actually dynamic and it varies as per the value of k . to simplify the design , we approximate n * by the constant 2 and as the simulation results reveal , it turns out that this is a reasonable approximation in terms of the overall tag reading time . with n and n *. fixed , s now depends only on k , the number of unread rfid tags 14 in the population . the value of k is chosen to be the one that maximizes s . maximizing s will maximize t and therefore will minimize q . for n = 256 , and n *= 2 , we find that k = 336 maximizes s and hence this k is used to estimate t . with afore said parameters , the maximum value of t is estimated to be 52 . 92 ms using which a conservative estimate for q can be arrived at . estimating g i : having estimated a conservative value for q , all that remains to be estimated are the g i values . let g 1 denote the number of rfid tags 14 participating in round 1 and sg 1 represent the number of rfid tags 14 that are successfully read in round 1 . as per the edfsa grouping statistics presented in the table shown in fig5 , when n = 256 , the optimal number of rfid tags 14 that can participate in the reading process is between 177 and 354 . following the same principle in the present disclosure , set 176 ≦ g 1 ≦ 354 . under these conditions , it can be shown easily that 88 ≦ sg 1 ≦ 94 and that the average value of sg 1 is 92 . the key in m - afsa is to keep the number of unread rfid tags 14 in each round to be approximately the same at g 1 , i . e ., g i = g 1 for all i . since 92 rfid tags 14 are read on an average in a round , the number of new rfid tags 14 that enter the reader &# 39 ; s field in the next round is set to be 92 , i . e ., φ ( t + t cal + t null )= 92 from which φ can be determined . this also means that 92 rfid tags 14 leave the reader &# 39 ; s field at the end of every round . therefore p r , the average probability of a rfid tag 14 being read in a round , can be expressed as having found the lower bound for q and the average value of p r in terms of g 1 , it is now possible to re - write equation 12 as : from equation 19 , g 1 can be determined and this completes the design of m - afsa with edfsa as the underlying protocol . it should be noted that for high values of p , it is possible that the value of g 1 obtained from equation 19 can be less than 177 . if so , the frame size of n = 256 may no longer be optimal ( as per the edfsa tag grouping rule ) for the mobile tag reading system . in this case , the design process is re - started with a smaller frame size of n = 128 and continued using the principles outlined above . described below are the simulation results that delineate the performance of the proposed afsa framework . the simulations were done in c ++ and the results presented here are the outcome of 50 different runs . the variations indicated in the graphs shown in fig4 correspond to the 100 % confidence interval . initially , described is the performance of the afsa framework in a static setting and then move on to the mobile setting . performance in a static setting : to begin with , described is the impact of the parameter n on the performance of the proposed afsa framework . discussed is the results that are obtained with edfsa as the base protocol . similar results were obtained with dfsa as the base protocol and for the sake of brevity those results are not discussed herein . as mentioned earlier , the parameter n plays an important role in determining the average rfid tag 14 reading time . larger values of n decrease the number of undetected collisions ; however , they increase the duration of the reservation phase and thus may increase the overall round time . smaller values of n decrease the duration of the reservation phase but increase the number of undetected collisions ; thus a n value that is too small can increase the overall round time . this behavior is brought out in the simulation results presented in fig1 . fig1 a and 14 b are charts showing simulated afsa performance with different n values in accordance with the present invention , in particular , fig1 a illustrates the average simulated reading time obtained with different n values and fig1 b illustrates the average time lost in a round due to undetected collisions for different n values . fig1 a and 14 b show that the average rfid tag 14 reading time increases for both small and large n values . we also note that minimizing the time spent in undetected collisions does not necessarily lead to minimum tag reading time . it can be seen that true to its objective , n = n * minimizes the overall tag reading time but not necessarily the time spent in collisions . while n = n * gives the best read time , it is observed that the performance of n = 2 is very close to that of n = n *. the reason for this can be found out from the chart shown in fig1 . fig1 shows that for most of the ( n , k ) combinations encountered during the read process , n * is actually 2 and hence the observed behavior . this result also validates to some extent the approximation n *≈ 2 made above . having discussed the performance of afsa for different n values , we now compare the performance of afsa with other protocols . the following protocols are compared in our simulation study : ( 1 ) dfsa [ 13 ]—( cha et al ., 2006 ), ( 2 ) edfsa [ 14 ]—( lee et al ., 2005 ), ( 3 ) asap [ 19 ]—( khandelwal et al ., 2006 ), ( 4 ) query tree ( qt ) [ 22 ]—( law et al ., 2000 ), ( 5 ) binary tree ( bt ) [ 23 ]—( hush et al ., 1998 ), ( 6 ) afsa + dfsa , and ( 7 ) afsa + edfsa . note that qt and bt are tree based deterministic tag reading protocols . the protocols are compared in terms of the average tag reading times they achieve and their efficiency . protocol efficiency is defined as the ratio of time spent in actual tag reading over the total time . we note here that the total time includes several components including actual tag reading time , time spent in collisions , idle time , and protocol overhead ( in terms of transmitting reader commands and acknowledgments ). fig1 a - 16 c are charts showing simulated performance of different tag reading protocols in a static setting , in particular , fig1 a illustrates the average tag reading time obtained under aloha protocols , fig1 b illustrates the average tag reading time obtained under tree based protocols , and fig1 c illustrates the efficiency achieved by different protocols . the graphs shown in fig1 a - 16 c show the performance of different protocols in terms of the aforesaid parameters , wherein the tag reading times of aloha based protocols and tree based protocols are shown in separate graphs . in these set of experiments , the afsa protocols use the optimal n value , i . e ., n = n *. from the graphs , it can be seen that all the aloha based protocols have smaller average tag reading times than the tree based protocols . among the two tree based protocols , bt has a better reading time than qt . this is because , in qt , the reader has to transmit the query string in the beginning of each round which consumes bit times . in the case of bt , the reader 12 need not transmit any query string since the tags are assumed to have memory to remember the tree path traversed by them during the reading process . this saves some bit times leading to smaller tag reading times . among the aloha based protocols , we notice that protocols that utilize the proposed afsa framework deliver a superior performance in terms of the average tag reading time . afsa + dfsa and afsa + edfsa achieve tag reading times close to 0 . 57 msec ( equivalent to a rate of 1754 tags / sec ) while the base protocols &# 39 ; reading times are in the range of 0 . 97 msec . the reading times achieved under afsa + edfsa and afsa + dfsa are also better than those achieved under the asap tag reading protocol . further , the afsa protocols achieve the highest efficiency among the seven protocols that are compared . it is also observed that the performance of afsa + edfsa and afsa + dfsa are almost equal to each other . this shows that the proposed afsa framework is equally good in improving the performance of protocols having limited frame sizes as well as unlimited frame sizes thereby highlighting its applicability to both the classes of aloha based tag reading protocols . performance in a mobile setting : in studying the performance of the afsa framework in a mobile setting , we use the same system setup found in [ 19 ]—( khandelwal et al ., 2006 ). we set v = 5 m / s , l max = 2 m , and h = 1 m . we studied the system until 50000 rfid tags 14 have been read . two different target read percentage values of p = 99 % and p = 99 . 9 % are used . the appropriate initial tag count g 1 and the tag departure ( and arrival ) rate φ are determined as per the discussions given above . the simulation was run for 20 times and the average values are reported . the tables shown in fig1 present the results of the simulation study . from the results it can be seen that the designed initial tag count allows all the protocols to achieve the desired tag reading percentage . it is also noticed that the tag departure rate under p = 99 . 9 % is lower than the departure rate under p = 99 %. this is due to the fact that in order to meet a higher successful reading rate , contention in the system has to be reduced . contention can be reduced only by allowing fewer tags to pass through the system . hence , the lower departure rate for p = 99 . 9 %. further , it is observed that the proposed afsa framework significantly improves the system throughput in comparison to the base protocols . this is due to the fact that the protocols under the afsa framework have a smaller round time which allows them to have more number of tag reading cycles . this in turn allows the protocols to have a higher initial tag count and a higher departure rate without compromising on the target read percentage . it is also to be noted that when the tag departure rates achieved under the proposed design are translated into tag reading times ( by taking the reciprocal of the product of tag departure rate and the achieved read percentage ), they are almost equal to the average tag reading times achieved under a static setting . this shows that the proposed mobile system design is close to being the best one can hope for , since the tag reading time achieved for a given protocol under any mobile setting has to be at least the reading time achieved under a static setting . tag requirements for afsa : described below , it is shown that the afsa framework can be implemented on class i generation i tags and class 2 generation 2 tags with minimum hardware modification . it is noted that several aloha based anti - collision tag reading protocols have already been proposed for class i generation i and class i generation 2 tags . this implies that such rfid tags 14 currently possess the following abilities : ( a ) generate a random number within a given range and remember it ; ( b ) identify any particular slot in a frame ; ( c ) transmit the epc in the chosen slot ; and ( d ) parse through the acknowledgment bit string advertised by the reader 12 and understand the status of their epc transmissions . a quick analysis of the different phases in an afsa round will reveal that in addition to the above capabilities , the rfid tags 14 should possess the following two features in order to implement the proposed framework : ( i ) ability to transmit a bit sequence other than their epc — the rfid tags 14 should send n * number of bits in their reservation phase , where n *& lt ;& lt ; 64 ( assuming the epc length to be 64 bits ); and ( ii ) ability to transmit more bits in a round than under existing aloha protocols — tags whose reservation was successful in the reservation phase end up transmitting a total of n *+ 64 bits under afsa whereas in other aloha protocols , they need to transmit only 64 bits . feature ( i ) can be implemented by allowing the tags to transmit the first n * or the last n * bits of their epcs , and thus eliminate the need for additional memory . while one may argue that n * is a parameter that varies between rounds , as the simulation results have shown , it is possible to approximate n * with 2 and still achieve a good performance . feature ( ii ) can be achieved by allowing the reader 12 to induce more energy in the rfid tags 14 by transmitting a stronger electromagnetic pulse . apparently , one can think that this may result in additional power consumption at the reader 12 . however , the improvement achieved in terms of smaller tag reading times may necessitate the reader 12 to be active only for a shorter duration and the resulting energy savings may partially or fully offset the additional energy consumption . also , in instances where the reader 12 can be recharged periodically from the mains , energy consumption at the reader 12 may not be an issue . described herein is a framework named accelerated frame slotted aloha ( afsa ) for reducing the reading time of rfid tags 14 ( active or passive ) in dense environments . afsa can be used in conjunction with almost all rfid tag 14 reading protocols that are based on frame slotted aloha . also discussed is the working of afsa in conjunction with two different aloha protocols — one with unlimited frame sizes and the other with limited frame sizes . afsa reduces the tag reading time by using bitmaps and avoids the wastage in bit times due to collisions and idle slots . further , also described are extensions of afsa to read passive tags in a mobile setting . the simulation results showed that afsa can significantly reduce the average tag reading time with respect to the base protocols and achieve high tag reading rates under both static and mobile settings . the results also show that afsa works equally well with protocols that use unlimited frame sizes as well as limited frame sizes . additionally , it is believed that afsa can be extended by incorporating generic distributions for slot selection . the following references , to the extent that they provide exemplary procedural or other details supplementary to those set forth herein , are specifically incorporated herein by reference . d . w . engels and s . e . sanna , “ standardization requirements within the rfid class structure framework ,” tech . rep ., auto - 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