CN101471713B - Code book selection method and apparatus capable of resisting feedback error - Google Patents

Code book selection method and apparatus capable of resisting feedback error Download PDF

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CN101471713B
CN101471713B CN2007103013107A CN200710301310A CN101471713B CN 101471713 B CN101471713 B CN 101471713B CN 2007103013107 A CN2007103013107 A CN 2007103013107A CN 200710301310 A CN200710301310 A CN 200710301310A CN 101471713 B CN101471713 B CN 101471713B
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李元杰
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Huawei Technologies Co Ltd
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Abstract

The invention discloses a codebook selection method capable of preventing feedback error and a device thereof, which belong to the field of wireless communication and solve the problem that the prior codebook is liable to result in the mismatching between the beam used at the transmitting terminal and the current channel and the performance deterioration of the system. The embodiment of the invention provides a codebook selection method. The codebook comprises at least two code words and serial numbers corresponding to the at least two code words respectively. The method comprises the following steps: compiling codebooks of at least two kinds of relationship between code word and serial number; obtaining the transmission error parameter values of each codebook; and employing the codebook having the minimal transmission error parameter value as the common codebook shared by the signal transmitting terminal and the signal receiving terminal. The codebook selection method and the codebook selection device are applied to various antenna systems.

Description

The code book system of selection and the device of feedback error resistance
Technical field
The present invention relates to wireless communication field, the method and apparatus that particularly the wireless communication transmissions system is optimized.
Background technology
In the various multi-antenna technologies of wireless communication field, beam-forming technology is realized simple, can obtain bigger snr gain and diversity gain, so be widely used.In wave beam formation system, the wave beam that transmitting terminal adopts will be confirmed according to channel condition information (CSI, channel state information).And under many circumstances, in FDD (FDD, frequency division duplex) system, transmitting terminal can't directly be known CSI.At this moment, at first through receiving terminal CSI is quantized, confirm the wave beam of a coupling, then, the feedback channel through a low rate reaches transmitting terminal with this wave beam.
Fig. 1 forms the block diagram of system forward link for the wave beam that quantizes.At transmitting terminal, information waiting for transmission through coding and modulation, obtains scalar symbol s earlier.Wave beam forms module symbol s is carried out weighting, delivers to a plurality of antennas then and sends.So, each antenna transmission be identical symbol, just adopt weights different.Each weights all is a plural number, and they form a vector, claims that wave beam forms vector, is designated as w.At receiving terminal, each antenna carries out high specific earlier with the signal that receives and merges, and then the signal after being combined is separated mediation decoding.
In the wave beam formation system that quantizes, it is that receiving terminal sends transmitting terminal to through feedback channel that wave beam forms vector.Fig. 2 forms the block diagram of system feedback link for the wave beam that quantizes.At system design stage, should design code book X in advance, transmitting terminal and receiving terminal are all stored this code book.Code book X is by K code word c 1C kC KThe set of forming, each code word is wave beam to be selected and forms vector, and they all are that mould is 1 unit vector.Corresponding sequence number (code word c of each code word in the code book kSequence number be exactly k), all sequence number is formed sequence numbers set I={1 ... K ... K}.During each the feedback, receiving terminal is selected a code word according to its channel condition information (being provided by channel estimation module) from code book X, and the sequence number of code word is delivered to transmitting terminal through feedback channel.Transmitting terminal carries out table lookup operation according to the sequence number that feeds back to, and in code book, finds out corresponding code word and forms vector as wave beam.
The quantification wave beam of stating in realization forms in the feedback procedure of vector, and the inventor finds to have following problem in the prior art at least: in the wave beam formation system that quantizes, the wave beam that transmitting terminal adopts is by receiving terminal, feeds back with the form of code word sequence number.But, in feedback procedure, through regular meeting the problem of code word sequence number feedback error takes place, i.e. the sequence number of receiving terminal feedback code A, but make a mistake in the transmission course, cause transmitting terminal to receive into the sequence number of code word B.If code word B and code word A differ greatly, the wave beam and the current channel that can cause transmitting terminal to adopt do not match the mis-behave of system.
Summary of the invention
On the one hand, embodiments of the invention provide a kind of code book system of selection of feedback error resistance, and the wave beam that this method can improve quantification forms system, the signal transmission capabilities under the feedback error condition.
The technical scheme that embodiments of the invention adopt comprises: a kind of code book system of selection of feedback error resistance may further comprise the steps:
The code book of establishment code word and at least two kinds of corresponding relations of sequence number;
Obtain the transmission error parameter value of each code book;
According to said transmission error parameter value, select a code book as signal sending end and the total code book of receiving terminal; Wherein, said transmission error parameter value is according to choosing probable value, error probability value and similarity value to obtain; Choose probable value to be received the probability that end is chosen for each code word; The error probability value is that receiving terminal sends a kind of code word corresponding sequence number, and transmitting terminal obtains the probability of another kind of code word corresponding sequence number; The similarity value is that receiving terminal sends a kind of code word corresponding sequence number, when transmitting terminal obtains another kind of code word corresponding sequence number, and the similarity degree of two kinds of code words;
The step of obtaining the transmission error parameter value of each code book specifically comprises:
Calculate in each code book, the product of choosing probable value and error probability value and similarity value of each code word is as the transmission error parameter value of this code word;
Get the transmission error parameter value of the transmission error parameter value sum of all code words as this code book.
The code book system of selection of the feedback error resistance that the embodiment of the invention provides; Through the code book of establishment code word and the various corresponding relations of sequence number, obtain the transmission error parameter value of each code book, can assess out the ability of each code book feedback error resistance; Select a code book as signal sending end and the total new code book of receiving terminal according to the transmission error parameter value again; Like this, the new code book that obtains will be that the feedback error resistance ability is comparatively ideal in each code book, and said new code book is used at transmitting terminal and receiving terminal; Wave beam and current channel that transmitting terminal is adopted mate as far as possible, have guaranteed the transmission performance of system.
On the other hand, embodiments of the invention provide a kind of code book choice device of feedback error resistance, comprising:
Code book generation module: the code book of establishment code word and at least two kinds of corresponding relations of sequence number;
Error acquisition module: the transmission error parameter value that obtains each code book;
Code book preferred module:, select the minimum code book of transmission error parameter value as signal sending end and the total code book of receiving terminal according to said transmission error parameter value; Wherein, said transmission error parameter value comprises: choose probable value, error probability value and similarity value; Choose probable value to be received the probability that end is chosen for each code word; The error probability value is that receiving terminal sends a kind of code word corresponding sequence number, and transmitting terminal obtains the probability of another kind of code word corresponding sequence number; The similarity value is that receiving terminal sends a kind of code word corresponding sequence number, when transmitting terminal obtains another kind of code word corresponding sequence number, and the similarity degree of two kinds of code words;
Said error acquisition module comprises,
Computing module calculates in each code book, and the product of choosing probable value and error probability value and similarity value of each code word is as the transmission error parameter value of this code word;
Accumulator module is got the transmission error parameter value of the transmission error parameter value sum of all code words as this code book.
The code book choice device of the feedback error resistance that the embodiment of the invention provides; Through the code book of code book generation module establishment code word and the various corresponding relations of sequence number, the error acquisition module is obtained the transmission error parameter value of each code book, can assess out the ability of each code book feedback error resistance; The code book preferred module selects a code book as signal sending end and the total new code book of receiving terminal according to the transmission error parameter value again; Like this, the new code book that obtains will be that the feedback error resistance ability is comparatively ideal in each code book, and said new code book is used at transmitting terminal and receiving terminal; Wave beam and current channel that transmitting terminal is adopted mate as far as possible, have guaranteed the transmission performance of system.
Description of drawings
The wave beam that Fig. 1 quantizes for prior art forms the block diagram of system forward link;
The wave beam that Fig. 2 quantizes for prior art forms the block diagram of system feedback link;
Fig. 3 is the flow chart of the inventive method embodiment;
Fig. 4 is the structure chart of apparatus of the present invention embodiment;
Fig. 5 is the snr gain simulation result sketch map of the inventive method embodiment;
Fig. 6 is the error rate simulation result sketch map of the inventive method embodiment.
Embodiment
In order to solve prior art in wave beam formation system; The code book that transmitting terminal and receiving terminal are shared; The wave beam and the current channel that can cause transmitting terminal to adopt do not match; The problem of the mis-behave of system, embodiments of the invention provide a kind of code book system of selection of feedback error resistance, below in conjunction with accompanying drawing and embodiment embodiments of the invention are elaborated.
The code book system of selection of the feedback error resistance that the embodiment of the invention provides, this code book comprises: at least two code words, with each code word corresponding sequence number; This method flow is as shown in Figure 3, specifically comprises:
301, the code book of establishment code word and at least two kinds of corresponding relations of sequence number.
This code book comprises: at least two code words, the sequence number that equates with code word number, and the corresponding relation between numeral and the sequence number.Code book of a kind of corresponding relation establishment is worked out at least two code books.
302, obtain the transmission error parameter value of each code book.
In step 302, said transmission error parameter value can comprise: choose probable value, error probability value and similarity value;
Choose probable value to be received the probability that end is chosen for each code word; The said probable value of choosing is big, explains that said code word is received the probability height that end is chosen; Otherwise the said probable value of choosing is little, and it is low to explain that said code word is received the probability chosen of end;
The error probability value is that receiving terminal sends a kind of code word corresponding sequence number, and transmitting terminal obtains the probability of another kind of code word corresponding sequence number; Said error probability value is big, explains that receiving terminal sends a kind of code word corresponding sequence number, and the probability that transmitting terminal obtains another kind of code word corresponding sequence number is high; Otherwise said error probability value is little, explains that receiving terminal sends a kind of code word corresponding sequence number, and the probability that transmitting terminal obtains another kind of code word corresponding sequence number is low;
The similarity value is that receiving terminal sends a kind of code word corresponding sequence number, when transmitting terminal obtains another kind of code word corresponding sequence number, and the similarity degree of two kinds of code words.
Said similarity value is little, explains that two similarities between code word are high; Otherwise said similarity value is big, explains that two similarities between code word are low.
In step 302, the step of calculating the transmission error parameter value of each code book comprises,
Calculate in each code book, the product of choosing probable value and error probability value and similarity value of each code word is as the transmission error parameter value of this code word;
Concrete, the expression formula of said transmission error parameter value is: d c* T*P, wherein, d cRepresent the similarity value, T represents the error probability value, and probable value is chosen in the P representative.
As preferably,
Figure GDA0000142681750000061
Wherein, T K, lThe expression receiving terminal sends sequence number and obtains the probability that sequence number is j, d for the k transmitting terminal K, jWhen the expression receiving terminal sent sequence number and obtains sequence number and be j for the k transmitting terminal, sequence number was that code word and the sequence number of k is the similarity degree of the code word of j, P kThe probability of sequence number k is chosen in expression, and K representes the maximum of sequence number in the code book.
Get the transmission error parameter value of the transmission error parameter value sum of all code words as this code book:
A common code book comprises several code words, the transmission error parameter value of a code book be all code words in this code book the transmission error parameter value with.
303, select the minimum code book of transmission error parameter value as signal sending end and the total code book of receiving terminal.
The code book system of selection of the feedback error resistance that the embodiment of the invention provides through the code book of establishment code word and the various corresponding relations of sequence number, is obtained the transmission error parameter value of each code book, can assess out the ability of each code book feedback error resistance; Select the minimum code book of transmission error parameter value as signal sending end and the total new code book of receiving terminal again.Like this, the new code book that obtains will be that the feedback error resistance ability is the strongest in each code book, and said new code book is used at transmitting terminal and receiving terminal, and wave beam and current channel that transmitting terminal is adopted mate as far as possible, have guaranteed the transmission performance of system.
Be with it will be appreciated by those skilled in the art that; When embodiment of the present invention; Selecting the minimum code book of transmission error parameter value is a kind of alternative, optimum scheme as signal sending end and the total code book of receiving terminal; And the minimum code book of nonessential selection transmission error parameter value, also can select transmission error parameter value time little or less code book.Therefore, can select suitable code book through the transmission error parameter value according to the characteristics of network system or the actual demand of operator.
Introduce a kind of preferred embodiment of this method below in detail:
As shown in table 1, suppose that the code book that will be used to encode comprises 8 code words (table 1 first row), corresponding 8 sequence numbers (table 1 secondary series), said each sequence number is transferred to transmitting terminal by receiving terminal need take 3 bit resources (table 1 the 3rd row).
Figure GDA0000142681750000071
Table 1
In the present embodiment, error probability value T is the error propagation probable value of binary symmetric channel, and expression formula is: T K, j=p D (k, j)* (1-p) 3-D (k, j), wherein, T K, jThe expression receiving terminal sends sequence number and obtains the probability that sequence number is j for the k transmitting terminal; P is 1 bit error probability (can obtain through methods such as emulation experiment, actual measurement or theory analysises); D (k, j) Hamming distance (character string is become the character number that another character string need be replaced) between expression sequence number k and the pairing binary bits value of sequence number j;
Similarity value d K, 1Chordal distance d between code fetch word k and the code word j c(c k, c 1), expression formula is:
Figure GDA0000142681750000081
Wherein, alphabetical H representes matrix c kConjugate transpose operation.
At first, the various corresponding relations of code word and sequence number are carried out exhaustive, it is a code book that the various corresponding relations of all code words are compiled respectively.
In the present embodiment, because the code word number is less, even use exhaustive method, amount of calculation neither be too big.For the more code book of code word, can adopt the algorithm of some suboptimums to reduce amount of calculation, for example binary exchange algorithm (Binary switching algorithm) or simulated annealing (simulated annealing algorithm).
Obtain the transmission error parameter value of each code book, can adopt following computing formula:
d c * T * P = Σ k = 1 K Σ j = 1 K d c ( c k , c j ) * T k , j * P k ;
Wherein, d c ( c k , c j ) = 1 - | c k H c j | 2 ;
T K, j=p D (k, j)* (1-p) 3-D (k, j), because p is very little usually in the practical application, the probability that multi-bit errors takes place can be ignored, so the error propagation probability can be approximated to be
T k , j ≈ ( 1 - p ) 3 , D ( k , j ) = 0 , p ( 1 - p ) 2 , D ( k , j ) = 1 , 0 , D ( k , j ) = 2,3 ,
Can know that through emulation experiment the approximate equiprobable end that is received of each code word is chosen, so
P k ≈ 1 8 , k＝1，2，…，8.
Like this, through each code word and corresponding sequence number thereof are found the solution the transmission error parameter, and then get all code words and corresponding sequence number transmission error parameter sum thereof, can draw the transmission error parameter of each code book;
As the signal sending end code book total with receiving terminal, this code book is exactly the strongest code book of feedback error resistance ability in each code book with the minimum code book of transmission error parameter value, and newly code book is as shown in table 2.
Code word The code word sequence number
c 1＝[-0.3427+j0.9161，0.0498+j0.2019] T 1
c 2＝[0.1049+j0.6820，0.6537+j0.3106] T 2
c 3＝[-0.7457+j0.1181，-0.4553-j0.4719] T 3
c 4＝[-0.0347-j0.2716，0.0935-j0.9572] T 4
c 5＝[-0.7983+j0.3232，0.5000+j0.0906] T 5
c 6＝[-0.2065+j0.3371，0.9166+j0.0600] T 6
c 7＝[0.8393-j0.2939，-0.1677+j0.4256] T 7
c 8＝[0.3478-j0.3351，0.2584-j0.8366] T 8
Table 2
Table 3 is seen in the variation of new and old code book code word and sequence number corresponding relation
Code word The code word sequence number Sequence number after the conversion
c 1＝[0.8393-j0.2939，-0.1677+j0.4256] T 1 7
c 2＝[-0.3427+j0.9161，0.0498+j0.2019] T 2 1
c 3＝[-0.2065+j0.3371，0.9166+j0.0600] T 3 6
c 4＝[0.3478-j0.3351，0.2584-j0.8366] T 4 8
c 5＝[0.1049+j0.6820，0.6537+j0.3106] T 5 2
c 6＝[0.0347-j0.2716，0.0935-j0.9572] T 6 4
c 7＝[-0.7457+j0.1181，-0.4553-j0.4719] T 7 3
c 8＝[-0.7983+j0.3232，0.5000+j0.0906] T 8 5
Table 3
Fig. 5 and Fig. 6 are applied to wave beam with this code book to form the transmitting terminal of system and the simulation result of receiving terminal; As can beappreciated from fig. 5; Use the snr gain curve (upper curve among the figure) behind the new code book, obviously be superior to the snr gain curve (lower curve among the figure) of former code book.As can beappreciated from fig. 6, use the ber curve (lower curve among the figure) behind the new code book, obviously be superior to the ber curve (upper curve among the figure) of former code book.This simulation result can be explained the enhancing of the embodiment of the invention to system's feedback error resistance ability.
The code book system of selection of the feedback error resistance that the embodiment of the invention provides through the code book of establishment code word and the various corresponding relations of sequence number, is obtained the transmission error parameter value of each code book, can assess out the ability of each code book feedback error resistance; Select the minimum code book of transmission error parameter value as signal sending end and the total new code book of receiving terminal again.Like this, the new code book that obtains will be that the feedback error resistance ability is the strongest in each code book, and said new code book is used at transmitting terminal and receiving terminal, and wave beam and current channel that transmitting terminal is adopted mate as far as possible, have guaranteed the transmission performance of system.
In addition, the code book system of selection of the feedback error resistance that the embodiment of the invention provides belongs to method for precoding, does not take transmitting terminal and receiving terminal resource that wave beam forms system; When the code book of establishment code word and sequence number corresponding relation, can the various corresponding relations of code word and sequence number be carried out exhaustively, also can only enumerate the part corresponding relation, the workload of flexible schedule system helps making full use of system resource.
The embodiment of the invention also provides a kind of code book choice device of feedback error resistance, and this code book comprises: at least two code words, with each code word corresponding sequence number; This device is as shown in Figure 4, comprising:
The code book generation module is used to work out the code book of code word and at least two kinds of corresponding relations of sequence number;
The error acquisition module is used to obtain the transmission error parameter value of each code book;
The code book preferred module is used to select the minimum code book of transmission error parameter value as signal sending end and the total code book of receiving terminal.
Wherein, said transmission error parameter value comprises: choose probable value, error probability value and similarity value;
Choose probable value to be received the probability that end is chosen for each code word;
The error probability value is that receiving terminal sends a kind of code word corresponding sequence number, and transmitting terminal obtains the probability of another kind of code word corresponding sequence number;
The similarity value is that receiving terminal sends a kind of code word corresponding sequence number, when transmitting terminal obtains another kind of code word corresponding sequence number, and the similarity degree of two kinds of code words.
The said probable value of choosing is big, explains that the selected probability of said code word is high; Otherwise the said probable value of choosing is little, explains that the selected probability of said code word is low;
Said error probability value is big, explains that receiving terminal sends a kind of code word corresponding sequence number, and the probability that transmitting terminal obtains another kind of code word corresponding sequence number is high; Otherwise said error probability value is little, explains that receiving terminal sends a kind of code word corresponding sequence number, and the probability that transmitting terminal obtains another kind of code word corresponding sequence number is low;
Said similarity value is little, explains that two similarities between code word are high; Otherwise said similarity value is big, explains that two similarities between code word are low.
Further, said error acquisition module comprises,
Computing module calculates in each code book, and the product of choosing probable value and error probability value and similarity value of each code word is as the transmission error parameter value of this code word;
Accumulator module is got the transmission error parameter value of the transmission error parameter value sum of all code words as this code book.
The code book choice device of the feedback error resistance that the embodiment of the invention provides is through the code book of code book generation module establishment code word and the various corresponding relations of sequence number; The error acquisition module is obtained the transmission error parameter value of each code book, can assess out the ability of each code book feedback error resistance; The code book preferred module is selected the minimum code book of transmission error parameter value again as signal sending end and the total new code book of receiving terminal.Like this, the new code book that obtains will be that the feedback error resistance ability is the strongest in each code book, and said new code book is used at transmitting terminal and receiving terminal, and wave beam and current channel that transmitting terminal is adopted mate as far as possible, have guaranteed the transmission performance of system.
Be with it will be appreciated by those skilled in the art that; When embodiment of the present invention; Code book preferred module and the minimum code book of nonessential selection transmission error parameter value; Also can select transmission error parameter value time little or less code book, selecting the minimum code book of transmission error parameter value is a kind of alternative, optimum scheme as signal sending end and the total code book of receiving terminal.Therefore, the code book preferred module can be selected suitable code book through the transmission error parameter value according to the characteristics of network system or the actual demand of operator.
The above; Be merely the embodiment of the embodiment of the invention; But the protection range of the embodiment of the invention is not limited thereto; Any technical staff who is familiar with the present technique field is in the technical scope that the present invention discloses, and the variation that can expect easily or replacement all should be encompassed within protection scope of the present invention.Therefore, the protection range of the embodiment of the invention should be as the criterion with the protection range of claim.

Claims (4)

1. the code book system of selection of a feedback error resistance is characterized in that comprising:
The code book of establishment code word and at least two kinds of corresponding relations of sequence number;
Obtain the transmission error parameter value of each code book;
According to said transmission error parameter value, select the minimum code book of transmission error parameter value, as signal sending end and the total code book of receiving terminal; Wherein, said transmission error parameter value is according to choosing probable value, error probability value and similarity value to obtain; Choose probable value to be received the probability that end is chosen for each code word; The error probability value is that receiving terminal sends a kind of code word corresponding sequence number, and transmitting terminal obtains the probability of another kind of code word corresponding sequence number; The similarity value is that receiving terminal sends a kind of code word corresponding sequence number, when transmitting terminal obtains another kind of code word corresponding sequence number, and the similarity degree of two kinds of code words;
The step of obtaining the transmission error parameter value of each code book specifically comprises:
Calculate in each code book, the product of choosing probable value and error probability value and similarity value of each code word is as the transmission error parameter value of this code word;
Get the transmission error parameter value of the transmission error parameter value sum of all code words as this code book.
2. the code book system of selection of a kind of feedback error resistance according to claim 1 is characterized in that, the expression formula of said transmission error parameter value is:
Figure FDA0000142681740000011
Wherein, T K, jThe expression receiving terminal sends sequence number and obtains the probability that sequence number is j, d for the k transmitting terminal K, jWhen the expression receiving terminal sent sequence number and obtains sequence number and be j for the k transmitting terminal, sequence number was that code word and the sequence number of k is the similarity degree of the code word of j, P kThe probability of sequence number k is chosen in expression, and K representes the maximum of sequence number in the code book, d cRepresent the similarity value, T represents the error probability value, and probable value is chosen in the P representative.
3. the code book system of selection of a kind of feedback error resistance according to claim 2 is characterized in that,
Comprise M code word in the said code book, corresponding 1 sequence number of each code word, each sequence number is transferred to transmitting terminal by receiving terminal need take N bit resource, and wherein 2 NBe not less than M, said T K, jFor:
T k，j＝p D(k，j)*(1-p) N-D(k，j)，
Wherein, T K, jThe expression receiving terminal sends sequence number to the k transmitting terminal obtains the probability that sequence number is j, and p is 1 bit error probability, D (k, j) Hamming distance between expression sequence number k and the pairing binary bits value of sequence number j;
Said d K, jBe the chordal distance d between code word k and the code word j c(c k, c j), expression formula is:
Figure DEST_PATH_FDA0000147746550000011
4. the code book choice device of a feedback error resistance is characterized in that comprising:
Code book generation module: the code book of establishment code word and at least two kinds of corresponding relations of sequence number;
Error acquisition module: the transmission error parameter value that obtains each code book;
Code book preferred module:, select the minimum code book of transmission error parameter value as signal sending end and the total code book of receiving terminal according to said transmission error parameter value; Wherein, said transmission error parameter value comprises: choose probable value, error probability value and similarity value; Choose probable value to be received the probability that end is chosen for each code word; The error probability value is that receiving terminal sends a kind of code word corresponding sequence number, and transmitting terminal obtains the probability of another kind of code word corresponding sequence number; The similarity value is that receiving terminal sends a kind of code word corresponding sequence number, when transmitting terminal obtains another kind of code word corresponding sequence number, and the similarity degree of two kinds of code words;
Said error acquisition module comprises,
Computing module calculates in each code book, and the product of choosing probable value and error probability value and similarity value of each code word is as the transmission error parameter value of this code word;
Accumulator module is got the transmission error parameter value of the transmission error parameter value sum of all code words as this code book.
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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1972150A (en) * 2006-10-10 2007-05-30 中国科学技术大学 A transmitting and receiving method for limited feedback linear discrete code
CN101394217A (en) * 2007-09-20 2009-03-25 华为技术有限公司 Method, system and apparatus for feedback error resistance

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN1972150A (en) * 2006-10-10 2007-05-30 中国科学技术大学 A transmitting and receiving method for limited feedback linear discrete code
CN101394217A (en) * 2007-09-20 2009-03-25 华为技术有限公司 Method, system and apparatus for feedback error resistance

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