Source: https://patents.google.com/patent/US8150311?oq=inventor%3A%22Arthur+R.+Hair%22
Timestamp: 2018-04-20 13:53:49
Document Index: 369013394

Matched Legal Cases: ['art 2', 'art 2', 'Application No. 08151572', 'Application No. 2006', 'Application No. 2006', 'Application No. 200610172053', 'art 16', 'art 11', 'art 11', 'art 16', 'art 16', 'Application No. 2009', 'application No. 0704093']

US8150311B2 - Communication system - Google Patents
US8150311B2
US8150311B2 US12973086 US97308610A US8150311B2 US 8150311 B2 US8150311 B2 US 8150311B2 US 12973086 US12973086 US 12973086 US 97308610 A US97308610 A US 97308610A US 8150311 B2 US8150311 B2 US 8150311B2
US12973086
US20110159805A1 (en )
This application is a divisional of U.S. patent application Ser. No. 11/453,839, filed Jun. 16, 2006, now pending, the contents of which are hereby incorporated by reference in their entirety.
Where d (meters) is the transmitter-receiver separation, b(db) and n are the pathloss parameters and the absolute pathloss is given by l=10(L/10)
FIG. 1A illustrates a single-cell two-hop wireless communication system comprising a base station (known in the context of 3 G communication systems as “node-B” (NB)) a relay node (RN) and a user equipment (UE). In the case where signals are being transmitted on the downlink (DL) from a base station to a destination user equipment (UE) via the relay node (RN), the base station comprises the source apparatus (S) and the user equipment comprises the destination apparatus (D). In the case where communication signals are being transmitted on the uplink (UL) from user equipment (UE), via the relay node, to the base station, the user equipment comprises the source apparatus and the base station comprises the destination apparatus. The relay node is an example of an intermediate apparatus (I) and comprises: a receiver, operable to receive a signal from the source apparatus; and a transmitter, operable to transmit this signal, or a derivative thereof, to the destination apparatus.
Pathloss Parameter S-D S-I I-D
UoB b (dB) 13.07 16.29 10.04
i) The pathloss arising over one of the links changes. This may be due to the position of one or both of the transmitter and receiver for that link changing, or due to a change in the environmental conditions or interference levels arising between the transmitter and the receiver.
Embodiments of the present invention seek to provide a way of responding to an imbalance, or a potential imbalance, which arises as a result of each of these possible events in order to improve the throughput of data being transmitted on the downlink (DL) from a base-station (source) to a destination user equipment via one or more intermediate apparatuses. In a standard communications system the downlink is the link between the NB and the UE. In the multi-hop case the DL refers to the link in which communication is directed towards the UE (e.g. RN to UE, RN to RN in the direction of UE and NB to RN). Furthermore, embodiments of the present invention seek to provide an array of optimising a multi-hop system whereby any target quality set by receivers is substantially attained and the throughput of data across each link is substantially equal.
i) a control means provided in the base station;
ii) indicator change deviation means operable to detect a deviation in one said indicator derived by the destination apparatus from a desired value;
iii) determining means operable, following the detection of such a deviation, to determine a change in the transmit power of the intermediate apparatus that will tend to bring the said indicator to said desired value, wherein the determining means further comprises request transmitting means operable to transmit a request for a change in the transmit power of the intermediate apparatus to the control means.
Embodiments of the first aspect of the present invention advantageously provide a way of responding to a deviation in the indicators derived by the destination apparatus from a desired value which may be due to i) a change in pathloss between the intermediate apparatus and the destination apparatus; or ii) a change in the target of the destination apparatus by determining change that is required in the transmit power of the intermediate apparatus. Advantageously, the change in transmit power that is required will be relative to the degree of deviation detected by the indication deviation detection means.
i) imbalance detection means operable to detect an imbalance between one said indicator derived by the destination apparatus and one said indicator derived by the intermediate apparatus; and
ii) determining means provided in said base station and operable, following detection of such an imbalance by said imbalance detection means, to determine a required change in the transmit power of the base station that will tend to reduce such an imbalance.
Embodiments of the second aspect of the present invention advantageously provide a way of adjusting the transmit power of the base station in order to substantially restore or attain balance between a measure of a quality of a communication signal received at the destination apparatus and a measure of the quality of a communication signal received at the intermediate apparatus. The imbalance may arise due to a change in pathloss between the base station and the intermediate apparatus. Alternatively an imbalance may arise following operation by a communication system embodying the first aspect of the present invention to respond to a change in the target quality indicator of the destination apparatus, since in restoring the variation from target indicator to its original measure (by changing the transmit power of the intermediate apparatus), the quality indictors of the intermediate apparatus and the destination apparatus will no longer be balanced.
Furthermore, embodiments of the present invention advantageously enable centralised control of the setting of the transmit power to be maintained, with minimal processing required in the relay station. This is beneficial to the operator of the wireless system as it keep control located within a central entity making management of the network much simpler. Further, should the relay start to malfunction, then due to the fact that control is located in the base station (or Node—B) then corrective measures are possible by the operator. Moreover, the fact that processing in the intermediate apparatus is kept to a minimum is advantageous in terms of reducing power consumption and thus maximising battery life, should the intermediate apparatus be a mobile or remote device.
i) deriving, at the destination apparatus, one or more indicators of the quality of a communication signal received at the destination;
iii) determining the required change in transmit power of the intermediate apparatus that will to tend to bring said indicator to said desired value; and
iv) signalling a request for the required change in the transmit power of the intermediate apparatus to said control means.
According to an embodiment of the second aspect of the present invention there is provided a method of controlling the transmit power of one or more apparatus operable to transmit a communication signal in a multi-hop communication system, the communication system comprising a base station, a destination apparatus and an intermediate apparatus, the method comprising the steps of:
ii) transmitting said indicators to an indicator receiving means of the base station;
ii) detecting an imbalance between the indicators of the destination apparatus and the intermediate apparatus; and
iii) determining a required change in the transmit power of the base station that will tend to reduce such an imbalance.
According to another embodiment of the first aspect of the present invention there is provided a base station operable to transmit a communication signal to a destination apparatus, via one or more intermediate apparatus, the base station comprising:
i) receiving means, operable to receive an indicator from a destination apparatus and indicator deviation detection means operable to detect a deviation in said indicator from a desired value, the indicator being indicative of a quality of a communication signal received at the destination apparatus; or
ii) receiving means, operable to receive a request from a destination apparatus for a change in transmit power of the intermediate apparatus, the request being indicative of a change in an indicator of the quality of a communication signal received at the destination apparatus from a desired value; and
iii) determining means operable, following detection of a change in one said indicator received from said destination apparatus, or following receipt of a request from said destination apparatus, as the case may be, to determine the required change in the transmit power of the intermediate apparatus that will tend to bring said indicator to said desired value.
A base station provided according to an embodiment of the first aspect of the present invention may comprise: i) a control means; ii) a determining means and a control means; or iii) an indicator deviation detection means, a determining means and a control means.
i) indicator receiving means operable to receive one or more indicators derived by each of said destination apparatus and said intermediate apparatus, said indicators being indicative of a quality of a communication signal received at the destination apparatus or the intermediate apparatus respectively;
ii) imbalance detection means operable to detect an imbalance between the indicators of the destination apparatus and the intermediate apparatus; and
iii) control means provided in said base station and operable, following detection of such an imbalance by said imbalance detection means, to determine a required change in the transmit power of the base station that will tend to reduce such an imbalance.
According to a further embodiment of the second aspect of the present invention there is provided a base station operable to transmit a communication signal to a destination apparatus, via one or more intermediate apparatus, in a multi-hop communication system, the base station comprising:
i) indicator receiving means operable to receive one or more indicators derived by each of said destination apparatus and said intermediate apparatus, said indicators being indicative of the quality of a communication signal received at the destination apparatus or the intermediate apparatus respectively;
iii) determining means provided in said base station and operable, following detection of such an imbalance by said imbalance detection means, to determine a required change in the transmit power of the base station that will tend to reduce such an imbalance.
A destination apparatus for receiving a signal from a source apparatus, via an intermediate apparatus, in a multi-hop communication system, may also be provided, the destination apparatus, comprising:
i) indicator derivation means operable to derive one or more indicators of a quality of a communication signal received at the destination apparatus; and
ii) indicator deviation detection means operable to detect a deviation in one said indicator from a desired value.
An intermediate apparatus may also be provided, comprising:
i) receiving means operable to receive a communication signal from a base station;
ii) transmitting means operable to transmit the communication signal, or a signal derived therefrom, to a destination apparatus;
iii) request receiving means operable to receive a request for a required change in transmit power from said destination apparatus; and
iv) transmitting means, operable to transmit said request, or a request derived therefrom, to a control means of the base station. Preferably, the intermediate apparatus comprises a regenerative relay node.
Communication methods carried out in a base station embodying the present invention, an intermediate apparatus embodying the present invention or in a destination apparatus embodying the present invention are also provided.
Request for change in NB Change derived in UE, modified
RN Transmit Power at RN and signalled to
SINR at UE (see part 2) NB
SINR at RN (see part 2) NB
Algorithm Output Derivation Signalling Requirement
Change in RN Relative Derived at UE, checked by RN,
transmit power change approved by NB and actioned by
SINR at UE NB Signalled from UE via RN
SINR at RN NB Signalled from RN
Change in NB Relative Used by NB
transmit power change
Change in RN Relative Change signalled to RN
SINR RN - UE = G p ⁢ P tx , RN L RN - UE ⁡ ( N + R tx , RN L RN - UE ⁢ SINR NB - RN + P tx_tot , NB L NB - UE )
SINR RN - UE = G p ⁢ P tx , RN ⁢ ⁢ 1 L RN ⁢ ⁢ 1 - UE ⁡ ( N + P tx , RN ⁢ ⁢ 1 L RN ⁢ ⁢ 1 - UE ⁢ SINR NB ⁢ ⁢ 1 - RN ⁢ ⁢ 1 + ⁢ P tx_tot , NB ⁢ ⁢ 1 L NB ⁢ ⁢ 1 - UE + P tx_tot , NB ⁢ ⁢ 2 L NB ⁢ ⁢ 2 - UE + P tx_tot , RN ⁢ ⁢ 2 L RN ⁢ ⁢ 2 - UE )
In this case, the SINR at a destination UE which is connected to an intermediate RN is given by:
SINR RN - UE = G p ⁢ P tx , RN L RN - UE ⁢ N ( 1 )
SINR NB - RN = G p ⁢ P tx , NB L NB - RN ⁢ N ( 2 )
P tx , NB P tx , RN = L NB - RN L RN - UE = b 1 ⁢ s 1 n 1 b 2 ⁢ s 2 n 2 ( 3 )
SINR RN - UE = G p ⁢ P tx , RN L RN - UE ⁡ ( N + G p ⁢ P tx , RN L RN - UE ) ( 4 )
The optimal NB transmit power can be found by setting (4) and (2) to be equal.
P tx , NB = ⁢ L NB - RN ⁢ NP tx , RN L RN - UE ⁡ ( N + G p ⁢ P tx , RN L RN - UE ) = ⁢ L NB - RN ⁢ P tx , RN ( L RN - UE + G p ⁢ P tx , RN N ) ( 5 )
P tx , RN = L RN - UE ( L NB - RN P tx , NB - G p N ) ( 6 )
It is assumed that the two links (source to intermediate, intermediate to destination) operate on the same frequency with TDD being used to separate the receive and transmit operation of the RN (i.e. it is no longer full duplex). If it is assumed that the timeslot in which the RN transmits is not used by the NB then the equations described above for the case of a regenerative relay with an FDD duplexing scheme can be used. However, if the source NB uses the same timeslot as the intermediate RN to communicate with apparatuses or nodes other than the NB, interference will result to the transmission made by the RN. In this case the SINR at a destination UE that is operable to receive communication signals from an intermediate RN is given by:
SINR RN ⁢ - ⁢ UE = G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ⁡ ( N + I ) = G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ⁡ ( N + P tx_tot , NB L NB ⁢ - ⁢ UE ) ( 7 )
P tx , RN = P tx , NB ⁡ ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( 1 + P tx_tot , NB NL NB ⁢ - ⁢ UE ) ( 8 )
P tx , RN = P tx , NB ⁡ ( L RN ⁢ - ⁢ UE L NB - RN ) ⁢ ( 1 + G p ⁢ P tx , NB NL NB ⁢ - ⁢ UE ) = ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( P tx , NB + G p ⁢ P tx , NB 2 NL NB ⁢ - ⁢ UE ) ( 9 )
L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ⁢ P tx , NB + L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ⁢ G p NL NB ⁢ - ⁢ UE ⁢ P tx , NB 2 - P tx , NB = 0 ⁢ ⁢ ax 2 + bx + c = 0 ( 10 )
x = P tx , NB , a = G p ⁢ L RN - UE NL NB ⁢ - ⁢ RN ⁢ L NB ⁢ - ⁢ UE , ⁢ b = L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ⁢ ⁢ and ⁢ ⁢ c = - P tx , RN
it follows that the roots of (10) are given by:
x = - b ± b 2 - 4 ⁢ ⁢ ac 2 ⁢ ⁢ a ( 11 )
x = P tx , NB = - b + b 2 + 4 ⁢ ⁢ aP tx , RN 2 ⁢ ⁢ a ( 12 )
SINR RN ⁢ - ⁢ UE = G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ⁡ ( N + 2 ⁢ ⁢ G p ⁢ P tx , NB L NB ⁢ - ⁢ UE + G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ) ( 14 )
⁢ G p ⁢ P tx , NB NL NB ⁢ - ⁢ RN = G p ⁢ P tx , RN L RN - UE ⁡ ( N + 2 ⁢ ⁢ G p ⁢ P tx , NB L NB ⁢ - ⁢ UE + G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ) ⁢ ⁢ P tx , RN = P tx , NB ⁡ ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( 1 + 2 ⁢ P tx_tot , NB NL NB ⁢ - ⁢ UE + P tx_tot , RN NL RN ⁢ - ⁢ UE ) ⁢ ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( 2 ⁢ ⁢ G p NL NB ⁢ - ⁢ UE ) ⁢ P tx , NB 2 + ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( 1 + G p ⁢ P tx , RN NL RN ⁢ - ⁢ UE ) ⁢ P tx , NB - P tx , RN ( 15 )
( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( 2 ⁢ ⁢ G p NL NB ⁢ - ⁢ UE ) ⁢ P tx , NB 2 + ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ ( 1 + G p ⁢ P tx , RN NL RN ⁢ - ⁢ UE ) ⁢ P tx , NB - P tx , RN = 0 ( 16 )
x = P tx , NB = - b + b 2 - 4 ⁢ ⁢ ac 2 ⁢ ⁢ a ( 17 )
a = 2 ⁢ G p ⁢ L RN ⁢ - ⁢ UE NL NB ⁢ - ⁢ RN ⁢ L NB ⁢ - ⁢ UE , b = L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ⁢ ( 1 + G p ⁢ P tx , RN NL RN ⁢ - ⁢ UE ) and ⁢ ⁢ c = - P tx , RN ,
P tx , RN = ( 2 ⁢ ⁢ G p NL NB ⁢ - ⁢ UE ⁢ L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ P tx , NB 2 + ( L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ P tx , NB 1 - ( G p NL RN ⁢ - ⁢ UE ⁢ L RN ⁢ - ⁢ UE L NB ⁢ - ⁢ RN ) ⁢ P tx , NB ( 18 )
The difference between this case and that of a regenerative relay node being used in conjunction with a FDD duplexing scheme is that the SINR at the UE is a function of the SINR at the RN, where the SINR at the destination UE which is connected to the RN is given by:
SINR RN ⁢ - ⁢ UE = G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ⁡ ( N + P tx , RN L RN ⁢ - ⁢ UE ⁢ SINR NB ⁢ - ⁢ RN ) ( 19 )
SINR RN ⁢ - ⁢ UE = G p ⁢ P tx , RN L RN ⁢ - ⁢ UE ( N + P tx , RN L RN ⁢ - ⁢ UE ⁢ G p ⁢ P tx , NB NL NB ⁢ - ⁢ RN ) = 1 ( NL RN ⁢ - ⁢ UE G p ⁢ P tx , RN ) + ( NL NB ⁢ - ⁢ RN G p 2 ⁢ P tx , NB ) ( 20 )
y = SINR RN - UE , k 1 = NL RN - UE G p ⁢ ⁢ and ⁢ ⁢ k 2 = NL NB - RN G p 2
it is possible to simplify (20) to be:
y = 1 k 1 P tx , RN ⁢ ⁢ + k 2 P tx , NB = P tx , NB k 1 ⁢ P tx , NB P tx , RN + k 2 ( 21 )
ⅆ y ⅆ ( P tx , NB ) = k 2 ( k 1 P tx , RN ⁢ P tx , NB + k 2 ) 2 = ∇ NB ( 22 )
P tx , NB = P tc , RN ⁡ ( k 2 ∇ NB - k 2 ) k 1 ( 23 )
ⅆ y ⅆ ( P tx , RN ) = k 1 ( k 2 P tx , NB ⁢ P tx , RN + k 1 ) 2 = ∇ RN ( 24 )
P tx , RN = P tc , NB ⁡ ( k 1 ∇ RN - k 1 ) ⁢ k 2 ( 25 )
In a two cell model the SINR for the worse case of a destination UE at the cell edge is given by:
SINR RN - UE = ⁢ G p ⁢ P tx , RN L RN - UE ⁡ ( N + P tx , RN L RN - UE ⁢ SINR NB - RN + G p ⁢ P tx , RN L RN - UE ) = ⁢ 1 ( NL RN - UE G p ⁢ P tx , RN ) + ( NL NB - RN G p 2 ⁢ P tx , NB ) + 1 ( 26 )
SINR RN - UE = ⁢ 1 k 1 P tx , RN + k 2 P tx , NB + 1 = ⁢ P tx , NB ( k 1 P tx , RN + 1 ) ⁢ P tx , NB + k 2 ( 27 )
ⅆ y ⅆ ( P tx , NB ) = k 2 ( ( k 1 P tx , RN + 1 ) ⁢ P tx , NB + k 2 ) 2 ( 28 )
P tx , NB = P tx , RN ⁢ k 2 ∇ - k 2 k 1 + P tx , RN ( 29 )
ⅆ y ⅆ ( P tx , RN ) = k 1 ( ( k 2 P tx , NB + 1 ) ⁢ P tx , RN + k 1 ) 2 ( 30 )
P tx , RN = P tx , NB ⁢ k 1 ∇ - k 1 k 2 + P tx , NB ( 31 )
This case is similar to that described above for a non-regenerative except for the fact that now interference from the NB must be taken into account due to the fact that it transmits on the same frequency and at the same time as the RN. In this case the SINR at the UE which is receiving communication signals transmitted by the RN is given by:
SINR RN - UE = G p ⁢ P tx , RN L RN - UE ⁡ ( N + P tx , RN L RN - UE ⁢ SINR NB - RN + P tx ⁢ ⁢ _ ⁢ ⁢ tot , NB L NB - UE ) ( 32 )
SINR RN - UE = ⁢ G p ⁢ P tx , RN L RN - UE ⁡ ( N + P tx , RN L RN - UE ⁡ ( G p ⁢ P tx , NB NL NB - RN ) + P tx ⁢ ⁢ _ ⁢ ⁢ tot , NB L NB - UE ⁢ ) = ⁢ 1 ( NL RN - UE G p ⁢ P tx , RN ) + ( NL NB - RN G p 2 ⁢ P tx , NB ) + ( L RN - UE ⁢ P tx , NB L NB - UE ⁢ P tx , RN ) ( 33 )
k 3 = ( L RN - UE L NB - UE )
it is possible to simplify (33) to:
y = ⁢ 1 ( k 1 P tx , RN ) + ( k 2 P tx , NB ) + ( k 3 ⁢ P tx , NB P tx , RN ) = ⁢ P tx , NB ( k 1 P tx , RN ) ⁢ P tx , NB + k 2 + ( k 3 P tx , RN ) ⁢ P tx , NB 2 ( 34 )
ⅆ y ⅆ x = 0 ( 35 )
ⅆ y ⅆ ( P tx , NB ) = k 1 P tx , RN ⁢ P tx , NB + k 2 + k 3 P tx , RN ⁢ P tx , NB 2 - P tx , NB ⁡ ( k 1 P tx , RN + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB ) ( k 1 P tx , RN ⁢ P tx , NB + k 2 + k 3 P tx , RN ⁢ P tx , NB 2 ) 2 ( 36 )
k 1 P tx , RN ⁢ P tx , NB + k 2 + k 3 P tx , RN ⁢ P tx , NB 2 = P tx , NB 2 ⁡ ( k 1 P tx , RN + 2 ⁢ k 3 P tx , RN ⁢ P tx , RN 2 ) P tx , NB = P tx , RN ⁢ k 2 2 ⁢ k 3 ( 37 )
y = ⁢ 1 ( k 1 P tx , RN ) + ( k 2 P tx , NB ) + ( k 3 ⁢ P tx , NB P tx , RN ) = ⁢ P tx , RN ( P tx , RN ⁢ k 2 P tx , NB ⁢ ) + k 3 ⁢ P tx , NB + k 1 ( 38 )
ⅆ y ⅆ ( P tx , RN ) = k 3 ⁢ P tx , NB + k 1 ( ( P tx , RN ⁢ k 2 P tx , NB ) + k 3 ⁢ P tx , NB + k 1 ) 2 = ∇ . ( 39 )
P tx , RN = P tx , RN ⁡ ( k 3 ⁢ P tx , NB + k 1 ∇ - ( k 3 ⁢ P tx , NB + k 1 ) ) k 2 ( 40 )
The worse case, from the perspective of a UE at the cell edge, is when the neighbouring cell employs a TDD scheme with the same timeslot used for RN transmission. If it is assumed that the cells are equal in size with the same deployment and transmit power settings and that Ptx — tot,RN/NB=GpPtx,RN/NB then:
SINR RN - UE = ⁢ G p ⁢ P tx , RN L RN - UE ( N + P tx , RN L RN - UE ⁢ SINR NB - R ⁢ ⁢ 1 ⁢ + 2 ⁢ G p ⁢ P tx , NB L NB - UE + G p ⁢ P tx , RN L RN - UE ) ⁢ 1 ( NL RN - UE G p ⁢ P tx , RN ) + ( NL NB - RN G p 2 ⁢ P tx , NB ) + ( 2 ⁢ L RN - UE ⁢ P tx , NB L NB - UE ⁢ P tx , RN ) + 1 ( 41 )
SINR RN - UE = ⁢ 1 k 1 P tx , RN + k 2 P tx , RN + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB + 1 = ⁢ P tx , NB ( k 1 P tx , RN + 1 ) ⁢ P tx , NB + k 2 + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB 2 ( 42 )
ⅆ y ⅆ ( P tx , NB ) = ( k 1 P tx , RN + 1 ) ⁢ P tx , NB + k 2 + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB 2 - P tx , NB ⁡ ( k 1 P tx , RN + 1 + 4 ⁢ k 3 P tx , RN ⁢ P tx , NB ) ( ( k 1 P tx , RN + 1 ) ⁢ P tx , NB + k 2 + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB ⁢ 2 ) 2 ( 43 )
⁢ ( k 1 P tx , RN + 1 ) ⁢ P tx , NB + k 2 + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB 2 = P tx , NB ⁡ ( k 1 P tx , NB + 1 + 4 ⁢ k 3 P tx , RN ⁢ P tx , NB ) k 2 + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB 2 = 4 ⁢ k 3 P tx , RN ⁢ P tx , NB 2 P tx , NB = P tx , RN ⁢ k 2 2 ⁢ k 3 ( 44 )
y = ⁢ 1 k 1 P tx , RN + k 2 P tx , NB + 2 ⁢ k 3 P tx , RN ⁢ P tx , NB ⁢ + 1 = ⁢ P tx , RN k 1 + k 2 ⁢ P tx , RN P tx , NB + 2 ⁢ k 3 ⁢ P tx , NB + P tx , RN ( 45 )
ⅆ y ⅆ ( P tx , RN ) = k 1 + 2 ⁢ k 3 ⁢ P tx , NB ( k 1 + 2 ⁢ k 3 ⁢ P tx , NB + P tx , RN ⁡ ( 1 + k 2 P tx , NB ) ) 2 = ∇ . ( 46 )
P tx , RN = P tx , NB ⁢ k 1 + 2 ⁢ k 3 ⁢ P tx , NB ∇ - ( k 1 + 2 ⁢ k 3 ⁢ P tx , NB ) ( P tx , NB + k 2 ) ( 47 )
Equipment Thermal Noise Density −174 dBm/Hz
Noise Figure 5 dBm
iv) determining a required change in the transmit power of the base station that will tend to reduce such an imbalance, wherein said required change in the transmit power of the base station is determined relative to the degree of detected imbalance.
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