CN101635612A - Precoding code book constructing method and precoding code book constructing device of multi-input multi-output system - Google Patents

Abstract

The invention discloses a precoding code book constructing method of a multi-input multi-output system, comprising the following steps: selecting N 4*4 first orthogonal matrixes Un, and selecting N second orthogonal matrixes Kn; generating N 8*8 matrixes Mn according to the selected Un and Kn in a manner of a Kronecker product or analog Kronecker product; and selecting a row or multiple rows of matrixes Mn to construct partial code words in a subcode book of each rank under 8 antennae. The invention also discloses a precoding code book constructing device of a multi-input multi-output system. The method and the device enables the designed code book to satisfy an orthogonal characteristic, a constant modulus characteristic and a 8 PSK characteristic in 8 antennae and have better performance under correlation channels and noncorrelation channels.

Description

The precoding codebook building method and the device of multi-input multi-output system

Technical field

The present invention relates to the code book constructing technology, be meant the precoding codebook building method and the device of a kind of multiple-input and multiple-output (MIMO) system especially.

Background technology

At radio communication multiple-input and multiple-output (MIMO, Multiple-Input Multiple-Out-put) in the system, if all use many antennas at transmitting terminal and receiving terminal, then can take the mode of spatial reuse to obtain higher speed: the different data of emission on the different antennae position of the identical running time-frequency resource of transmitting terminal, so just can improve transmission rate.Can obtain channel information (CSI, Channel State Information) between each dual-mode antenna by channel estimating at receiving terminal, these CSI can be formed a plurality of channel matrixes.Because receiving terminal has obtained the channel matrix that transmits and gone through, even therefore each antenna is launched different data, behind the process channel matrix, receiving terminal still can solve emission data different on each antenna.

With respect to utilizing channel matrix directly to solve the method for emission data on each antenna, a kind of means of enhancing are to adopt the emission precoding technique.Notion in transmitting terminal definition " layer ": on same running time-frequency resource, every layer can transmit different data modulation symbol (being data), and the number of plies equals the order (Rank) of the channel matrix of this running time-frequency resource correspondence.Data on the layer are carried out precoding processing, be mapped to behind the antenna and send to receiving terminal through air traffic channel again.If can learn the CSI of complete and accurate at transmitting terminal, can carry out singular value decomposition (Singular Value Decomposition) to the channel matrix that CSI forms so, the matrix that the right characteristic vector that decomposites is formed carries out precoding processing based on this matrix to each layer data as pre-coding matrix then.

Based on complete and accurate CSI, can accomplish optimum precoding processing to each layer data.Yet CSI often only could obtain at receiving terminal directly and accurately, and wants accurately to obtain CSI can only carry out the CSI feedback by mode from receiving terminal to transmitting terminal at transmitting terminal.This shows an important problem is exactly how to obtain, utilize CSI in precoding technique.In the standard of present main flow, the channel capacity that mimo system offers the CSI feedback all is limited, because the feedback quantity of whole C SI is very big, therefore the feedback method of main flow all is based on the mode of code book, and the content of feedback is the matrix formed of the right characteristic vector of channel matrix, is pre-coding matrix.

Precoding basic principle based on the code book feedback is: the channel overhead bit number of supposing feedback CSI is Bbps/Hz (B is a positive integer).The number of so available code word is N=2 ^BThe quantized value of all pre-coding matrixes constitutes code book

FN is a code word, and transmitting terminal and receiving terminal are preserved this code book jointly.Each channel is realized H, receiving terminal according to certain criterion from

Optimum code word F of middle selection _N, the code word sequence number N that it is corresponding feeds back to transmitting terminal.Transmitting terminal finds corresponding code word according to the code word sequence number, and the data symbol block that sends is carried out precoding.

In general,

Can further be divided into the sub-codebook of a plurality of Rank correspondences, the corresponding a plurality of values of each Rank meeting quantize the pre-coding matrix of the right characteristic vector formation of the channel matrix under this Rank.Because the right characteristic vector number of the Rank of channel matrix and non-zero equates that therefore, the code word when in general Rank is N all can have the N row, so we can be code book Be divided into a plurality of sub-codebooks by Rank, as shown in table 1:

Table 1

In the time can obtaining CSI to entirely accurate, the performance of precoding is best.Because the restriction of feedback overhead (channel capacity that is used to feed back) can only be adopted based on the CSI feedback of code book and the precoding of transmitted data symbols.In the mimo system of reality, the design of code book is extremely important, and an important goal of code book design guarantees that exactly quantization error is as far as possible little, and the code book realization is simple, and expense is reasonable, and memory space is little.

In addition, consider the application that some are concrete, the code book design also should be satisfied following characteristic:

1, constant modulus property: in code book when design, consider to make the row vector in each pre-encoding codeword of code book to have constant modulus property, can be so that through after the precoding, the power that distributes on each antenna equates, avoided the increase of peak-to-average force ratio index (PAPR), can be so that the power amplification balance between each power amplifier (PA, Power Amplifier).Therefore, the basic demand of constant modulus property is that each row of pre-coding matrix has identical mould value, and when Rank=1, constant modulus property requires the mould value of each element all to equate.

2, orthogonal property: channel matrix is carried out after SVD decomposes, and the right characteristic vector of each that obtains must be a quadrature.The design of code book is the right characteristic vector direction for the match channels matrix, and therefore, the code word of design also should meet this feature, and in the pre-encoding codeword of Rank＞1, each column vector all should be a quadrature.Orthogonal property is an important principle, in any case design codebooks, this characteristic is necessarily to need to satisfy, and could guarantee the quantified precision of code book like this.

3,8PSK characteristic: consider the complexity that realizes the sending and receiving end precoding processing, the value that therefore needs to limit each element can only be selected from the corresponding point of 8 phase shift keyings (PSK, Phase Shift Keying), is called the 8PSK characteristic.Limit code book and have the 8PSK characteristic, promptly code book is carried out normalized before, the value of each element just can only be from the letter collection of 8PSK: $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ The middle selection.

Code book when design, do not satisfy in the above-mentioned characteristic any one and all can bring corresponding defective, do not satisfy orthogonal property and can make quantization error very big; Do not satisfy constant modulus property and can make power imbalance between each PA of antenna; Not satisfying the 8PSK characteristic can make the complexity of transmitting terminal precoding increase.At this moment, can consider under some scene that the value of each element of increase is 0, can not influence the complexity of precoding like this.

At present, the design about code book has following several scheme in the prior art:

One, existing mainstream standard third generation partner program (3GPP, 3rd Generation PartnershipProject) Long Term Evolution (LTE, Long Term Evolution) adopted the code book based on the Household conversion during 4 antennas (4Tx) code book of LTE (R8) designs, its thought is: choose 16 vector u ₀～u ₁₅These 16 vectors are carried out the Household conversion obtain the Household matrix W _n(W ₀～W ₁₅), $W_n=I-2u_n{u}_n^H/u_n^H{u}_n$ (n is 0～15); From W _nThe all or part of row of middle extraction constitute the code book under each Rank

This method by to the choosing of u vector, can well guarantee orthogonal property, constant modulus property, 8PSK characteristic, and it is few to have memory space, the advantage that performance is good when the design of the code book of 4Tx.But when the code book design of 8Tx, this method can not satisfy constant modulus property, the power amplifier imbalance between the antenna, so this method can not well be applied to the code book design of 8Tx.

Two, based on the code book design philosophy of other conversion, as code book design based on discrete Fourier transform (DFT) (DFT), better performances under correlated channels, but under non-correlation channel poor-performing; In the code book design of 8Tx, code book based on the DFT conversion still has better performances under the correlated channels under the single-polarized antenna, but the shortcoming of poor-performing under the non-correlation channel under the correlated channels under dual polarized antenna and the single dual polarized antenna, and do not satisfy the 8PSK characteristic.

At present, do not have a kind of scheme in the prior art and can guarantee when design codebooks, can satisfy orthogonal property, constant modulus property, the 8PSK characteristic can satisfy again all have preferable performance under correlated channels and non-correlation channel.

Summary of the invention

In view of this, main purpose of the present invention is to provide a kind of precoding codebook building method and device of mimo system, make the code book of design satisfy orthogonal property, constant modulus property also satisfies in the time of the 8PSK characteristic all have preferable performance under correlated channels and non-correlation channel.

For achieving the above object, technical scheme of the present invention is achieved in that

The invention provides a kind of precoding codebook building method of multi-input multi-output system, this method comprises:

Choose the first orthogonal matrix U of N individual 4 * 4 _n, and choose N the second orthogonal matrix K _n

According to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending is constructed the matrix M of N individual 8 * 8 _n

From matrix M _nIn choose row or multiple row and generate part code word in the sub-codebook of each order Rank under 8 antennas.

Wherein, described N≤2 ^B, B is the channel overhead bit number of feedback channel information CSI, is positive integer;

A described N U _nFrom orthogonal matrix W _nIn choose; Described $W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ u _nBe vector, comprise u ₀～u ₁₅

This method further comprises: a described N U _nIn comprise k orthogonal matrix that adapts to correlated channels, be arranged as O by the size order of call number n ₁, O ₂... O _k, and O ₁, O ₂... O _kFrom described W _nW ₀～W ₇In choose k≤N.

Described O ₁, O ₂... O _kFrom W ₀～W ₇In choose, be specially:

When needing direction vector in 120 degree, evenly to distribute, O ₁, O ₂... O _kFrom W ₀～W ₃In choose;

Perhaps, when needing direction vector in 180 degree, evenly to distribute, O ₁, O ₂... O _kFrom W ₄～W ₇In choose;

Perhaps, O ₁, O ₂... O _kComprise W ₀～W ₇

Described direction vector is O ₁, O ₂... O _kIn the direction vector that forms of first row.

A described N K _nBe 2 * 2 orthogonal matrix, or 4 * 4 orthogonal matrix;

K _nWhen being 2 * 2 orthogonal matrix, the long-pending mode of corresponding Kronecker is specially:

Or

K _nWhen being 4 * 4 orthogonal matrix, the long-pending mode of corresponding similar Kronecker is specially: $\left[\begin{array}{cc}{a}_n{U}_n& c_n{K}_n\\ b_n{U}_n& d_n{K}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{U}_n\\ b_n{K}_n& {\text{d}}_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{K}_n\\ b_n{U}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{U}_n& c_n{U}_n\\ b_n{K}_n& d_n{K}_n\end{array}\right],$ Described $\left(\begin{array}{cc}{a}_n& c_n\\ b_n& d_n\end{array}\right)$ Be orthogonal matrix, a _n, b _n, c _n, d _nBe 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, perhaps a _n, d _nBe 0 simultaneously, perhaps b _n, c _nBe 0 simultaneously.

The value of described N is during greater than preset threshold value, K _nThe matrix of middle coupling non-correlation channel had both comprised 2 * 2 orthogonal matrix, also comprised 4 * 4 orthogonal matrix.

If K _nBe 4 * 4 orthogonal matrix, K _nFrom W ₀～W ₁₅In choose, concrete:

Generate the code word that is fit to correlated channels, then K if desired _nFrom W ₀～W ₇In choose;

Generate the code word that is fit to non-correlation channel, then K if desired _nFrom W ₈～W ₁₅In choose.

Described K _nWhen being 2 * 2 orthogonal matrix, this method further comprises: described 2 * 2 orthogonal matrix is chosen from following eight kinds of Mathematical Modeling matrixes:

$K_n=\left[\begin{array}{cc}{w}_1& w_1\\ w_2& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& -w_2\\ w_1& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_1& w_2\\ w_1& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& w_1\\ {-w}_2& w_1\end{array}\right],$

$K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ -w_4& {w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ w_4& -{w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& 0\\ 0& w_4\end{array}\right],$ $K_n=\left[\begin{array}{cc}0& w_3\\ w_4& 0\end{array}\right];$

Wherein, w ₁, w ₂Be 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, w ₃, w ₄Collect for 4PSK is alphabetical 1 ,-1, j, the element the among-j}.

This method further comprises: described 2 * 2 orthogonal matrix is chosen from the expansion of described eight kinds of Mathematical Modeling matrixes;

The expansion of described eight kinds of Mathematical Modelings is specially: each row of described matrix be multiply by the element that identical or different 8PSK letter is concentrated; Perhaps each row with described matrix multiply by the element that identical or different 8PSK letter is concentrated; Perhaps described matrix be multiply by a constant.

During code word under described generation 8 antennas in the sub-codebook of each order Rank, this method further comprises: according to Nested property, from matrix M _nIn choose row or multiple row and generate part code word in the sub-codebook of each order Rank under 8 antennas.

The present invention also provides a kind of precoding codebook constructing apparatus of multi-input multi-output system, and this device comprises: matrix is chosen module, matrix generation module and code book generation module, wherein,

Described matrix is chosen module, is used to choose the first orthogonal matrix U of N individual 4 * 4 _n, and N the second orthogonal matrix K _n, and with the U that chooses _nAnd K _nOffer described matrix generation module;

Described matrix generation module is used for according to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending generates the matrix M of N individual 8 * 8 _n

Described code book generation module is used for from matrix M _nIn choose 1 row or multiple row and generate code word in the sub-codebook of each Rank under 8 antennas.

Described matrix is chosen module and is further used for, from orthogonal matrix W _nIn choose N U _n, and $W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ u _nBe vector, n=0～15;

Described W _nSatisfy 8 phase shift keying PSK characteristics, constant modulus property and orthogonal property.

Described K _nWhen being 4 * 4 matrix, matrix is chosen module and is further used for, from W _nW ₀～W ₁₅In choose K _n

Described K _nWhen being 2 * 2 matrix, matrix is chosen module and is further used for, and chooses K from following eight kinds of Mathematical Modeling matrixes _n: $K_n=\left[\begin{array}{cc}{w}_1& w_1\\ w_2& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& -w_2\\ w_1& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_1& w_2\\ w_1& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& w_1\\ {-w}_2& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ -w_4& {w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ w_4& -{w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& 0\\ 0& w_4\end{array}\right],$ $K_n=\left[\begin{array}{cc}0& w_3\\ w_4& 0\end{array}\right];$

Wherein, w ₁, w ₂Be 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, w ₃, w ₄Collect for 4PSK is alphabetical 1 ,-1, j, the element the among-j}.

The precoding codebook structural scheme based on mimo system that the invention provides is based on the orthogonal matrix that satisfies orthogonal property, constant modulus property and 8PSK characteristic, as the Household matrix $W_n=I-2u_n{u}_n^H/u_n^H{u}_n$ Wait and choose first orthogonal matrix and second orthogonal matrix, eight kinds of Mathematical Modeling matrixes choosing for second orthogonal matrix also is provided; And generate required matrix M based on the mode that first orthogonal matrix of choosing and second orthogonal matrix are long-pending by Kronecker or similar Kronecker is long-pending _n, at last from M _nChoose 1 row or multiple row and constitute code word in the sub-codebook of each Rank; Because $W_n=I-2u_n{u}_n^H/u_n^H{u}_n$ Itself satisfy orthogonal property, constant modulus property and 8PSK characteristic, mode long-pending by Kronecker simultaneously or that similar Kronecker is long-pending is expanded first orthogonal matrix and second orthogonal matrix, so the matrix M that obtains of the present invention _nAlso satisfy orthogonal property, constant modulus property and 8PSK characteristic.

In addition, when selecting first orthogonal matrix and second orthogonal matrix, as required can also from $W_n=I-2u_n{u}_n^H/u_n^H{u}_n$ In select coupling correlated channels or non-correlation channel in the orthogonal matrix matrix, so, method of the present invention all has preferable performance at correlated channels and non-correlation channel; And the code book of structure of the present invention satisfies Nested property, and the follow-up standard of LTE is compatible good relatively, can effectively utilize the existing memory space of LTE, increase a spot of storage and just can construct the more code book of code word, and the building method amount of calculation is very little.

Description of drawings

Fig. 1 is the flow chart of the precoding codebook building method of a kind of mimo system of the present invention;

Fig. 2 is the composition structural representation of the precoding codebook constructing apparatus of a kind of mimo system of the present invention.

Embodiment

The technical solution of the present invention is further elaborated below in conjunction with the drawings and specific embodiments.

The present invention uses Kronecker mode long-pending or that similar Kronecker is long-pending to construct the code book of 8Tx, and the flow process of this method comprises following steps as shown in Figure 1:

Step 101 is chosen the first orthogonal matrix U of N 4 * 4 _n(U ₀, U ₁... U _N-1).

Step 102 is chosen N the second orthogonal matrix K _n(K ₀, K ₁... K _N-1).

Step 103 is according to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending generates the matrix M of N individual 8 * 8 _n

Step 104 is from matrix M _nIn choose row or multiple row and generate code word in the sub-codebook of each order Rank under 8 antennas.

Below flow process shown in Figure 1 is described in detail:

Step 101: the first orthogonal matrix U that chooses N individual 4 * 4 _n(U ₀, U ₁... U _N-1).

In this step, N≤2 ^B, wherein, B is a positive integer, its implication is channel overhead bit (bit) number of feedback CSI, can set U as required _nCall number n be 0～N-1.

The first orthogonal matrix U _n(U ₀, U ₁... U _N-1) in any one can from the orthogonal matrix that satisfies 8PSK characteristic, orthogonal property and constant modulus property, choose, so can guarantee U _nHave 8PSK characteristic, orthogonal property and constant modulus property.The orthogonal matrix of the described 8PSK of satisfying characteristic, orthogonal property and constant modulus property can be the Household matrix $W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ Also can be other orthogonal matrixes that satisfy above-mentioned three characteristics.

$W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ N=0～15, I are 4 * 4 unit matrix, u _nBe vector, 16 altogether, comprise u ₀～u ₁₅These 16 vectors are carried out the Household conversion obtain the Household matrix W _n, 16 altogether: W ₀～W ₁₅u _nDetails as shown in table 2:

Table 2

W _nBe the sub-codebook of Rank=4 in the precoding codebook under the 4Tx in the 3GPP LTE standard, have a lot of good characteristics.W among the present invention _nA lot of superperformances still can inherit M in the step 103 preferably _nIn, characteristic such as big as minimum chordal distance, that the mean chord distance is bigger, and under correlated channels, exist characteristic such as equally distributed direction vector can pass to M _n

For fixing precoding codebook, each the code word production process in the code book is more similar, and all code words can be divided into two classes: the code word of the code word of coupling correlated channels and coupling non-correlation channel.For orthogonal matrix U of the present invention _n(U ₀, U ₁... U _N-1), wherein a part of matrix produces the matrix (can produce the code word that adapts to correlated channels thus) that adapts to correlated channels through step 103 expansion back, part matrix produces the matrix (can produce the code word that adapts to non-correlation channel thus) that adapts to non-correlation channel through step 103 expansion back, and this two parts matrix is formed the matrix M in the step 103 _n(M ₀, M ₁... M _N-1).This shows U _n(U ₀, U ₁... U _N-1) in can comprise the orthogonal matrix that adapts to correlated channels, also can comprise the orthogonal matrix that adapts to non-correlation channel, promptly guaranteed the performance of code book under correlated channels and non-correlation channel.The orthogonal matrix that wherein mates correlated channels can be from W _nW ₀～W ₇In choose; The orthogonal matrix of coupling non-correlation channel can be from W _nW ₈～W ₁₅In choose.

Suppose U _n(U ₀, U ₁... U _N-1) in comprise k orthogonal matrix that adapts to correlated channels, k is that (k≤N), preferably, k is 1/2 or 1/4 of N to constant.Size order according to call number is arranged this k orthogonal matrix, is labeled as O ₁, O ₂... O _k, O _kBe 4 * 4 orthogonal matrix and adapt to correlated channels, can be from W ₀～W ₇In choose, concrete, as required, O ₁, O ₂... O _kCan adopt following method to choose:

The one, when needing direction vector in 120 degree, evenly to distribute, O ₁, O ₂... O _kCan be from W ₀～W ₃In choose, this kind mode is applicable to that available code word (is the matrix M that step 103 expansion back generates _n) less situation; The one, when needing direction vector in 180 degree, evenly to distribute, O ₁, O ₂... O _kCan be from W ₄～W ₇In choose, this kind mode also is applicable to the situation that available code word is less.Above-mentioned two kinds of methods can guarantee the even distribution of direction vector.In addition, O ₁, O ₂... O _kCan also comprise whole W ₀～W ₇, the code word beam direction precision that this kind mode generates is higher.

K is got 1/2 or 1/4 of N, and this method has been considered W _nIn the succession of some column vector information (comprising direction vector and vector density).The method that can describe by the present invention in step 103 is W _nFour-dimensional direction vector expand to 8 dimensions, simultaneously can also keep direction vector bigger variation can not take place, wave beam can not produce big secondary lobe, and can avoid the power loss and the interference that cause thus.In the application of reality, general sub-district all be in the directions of 120 degree or 180 degree for terminal provides service, based on method of the present invention, can guarantee W _nDirection vector information can not lose, still in the directions of 120 degree or 180 degree, evenly distribute.When the less code book of design code number of words, can reduce W _nThe density of middle direction vector, but still needs guarantee the even distribution of direction vector.

With orthogonal matrix O ₁, O ₂... O _kIn first column vector carry out precoding after, under correlated channels, have wave beam (wave beam under the 4Tx) direction preferably, through still can keeping under the 4Tx beam feature preferably after the expansion of step 103, and can form under the 8Tx beam direction preferably; Simultaneously because O ₁, O ₂... O _kBe to mate correlated channels, therefore the matrix through the expansion generation of step 103 back can produce the code word that is fit to correlated channels.

It is pointed out that and choose U _nThe time, both can all choose the W that mates correlated channels ₀～W ₇, also can all select to get the W that mates non-correlation channel ₈～W ₁₅, also can choose the W that mates correlated channels and non-correlation channel simultaneously ₀～W ₁₅Thus from the M of step 103 _nIn the code word chosen can be all to adapt to correlated channels, perhaps all adapt to non-correlation channel, also can promptly comprise and adapt to correlated channels and comprise the code word that adapts to non-correlation channel again.

Step 102 is chosen N the second orthogonal matrix K _n(K ₀, K ₁... K _N-1).

K among the present invention _n(K ₀, K ₁... K _N-1) can be for 2 * 2 or 4 * 4 orthogonal matrix, concrete, K _nChoose and can adopt following method:

One, determines K as required _nWhen being 4 * 4 orthogonal matrix, preferably, can be from W ₀～W ₁₅In choose.Further, when generating the code word that is fit to non-correlation channel if desired, K ₀, K ₁... K _N-1Can be from W ₈～W ₁₅In choose; When generating the code word that is fit to correlated channels if desired, can be from W ₀～W ₇In choose.

Because 4 * 4 K _n(K ₀, K ₁... K _N-1) be from W _nIn choose, therefore, each K _nAll satisfy 8PSK characteristic, constant modulus property and orthogonal property.

Two, determine K as required _nWhen being 2 * 2 orthogonal matrix, K _nMatrix has following feature:

If K _nIn do not have neutral element, convert each element of matrix to complex exponential form after, the phase difference between the 1st element of first row and the 2nd element is different with the phase difference of the 1st element of secondary series and the 2nd element, this feature can be called the phase difference rule.The M that so can make step 103 generation _n(M ₀, M ₁... M _N-1) in have more column vector to mate the dual polarized antenna feature and quantize the dual polarized antenna horizontal polarization and vertical polarization directions on the phase difference that exists.

Preferably, between the phase difference of the 1st element of phase difference between the 1st element of first row and the 2nd element and secondary series and the 2nd element phase difference of pi or-π.

At definite K _nWhen being 2 * 2 orthogonal matrix, preferably, can also adopt following method: K _nIn with O ₁, O ₂... O _kK matrix of coupling is 2 * 2 orthogonal matrix.So-called K _nWith O ₁, O ₂... O _kCoupling be: determine and O _kThe U that equates _nCall number, then identical K with this call number _nWith O _kMate, as O ₁Correspond to U ₅, K then ₅With O ₁Mate.

Determine K _nWhen being 2 * 2 orthogonal matrix, can adopt following method to choose K _n: K _nCan from following six kinds of Mathematical Modelings, select to get:

$K_n=\left[\begin{array}{cc}{w}_1& w_1\\ w_2& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& -w_2\\ w_1& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_1& w_2\\ w_1& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& w_1\\ {-w}_2& w_1\end{array}\right],$

$K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ -w_4& {w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ w_4& -{w_3}^{*}\end{array}\right].$

W wherein ₁, w ₂Be 8PSK letter collection 1 ,-1, j ,-j, s ₀, s ₁, s ₂, s ₃In element, $s_0=(1+j)/\sqrt{2},$ $s_1=(1-j)/\sqrt{2},$ $s_2=(-1+j)/\sqrt{2},$ $s_3=-(1+j)/\sqrt{2},$ J is an imaginary number; w ₃, w ₄Be 4PSK letter collection 1 ,-1, j, the element the among-j}.These six kinds of data model matrixes meet above-mentioned phase difference rule.

In addition, consider under some dual polarization scene, polarize as the transmitting terminal vertical-horizontal, and receiving terminal also is the vertical-horizontal polarization, from the channel characteristic value exploded angle, always there is 0 element in characteristic vector, for better matching channel in the case, also should there be 0 element in the code book, at this moment K _nWhen satisfying following two kinds of models, has extraordinary performance.

$K_n=\left[\begin{array}{cc}{w}_3& 0\\ 0& w_4\end{array}\right],$ $K_n=\left[\begin{array}{cc}0& w_3\\ w_4& 0\end{array}\right].$

Based on these two kinds of models, satisfy the 8PSK characteristic by a part of element in the matrix (code word) that obtains after step 103 expansion, a part of in addition 0 element that does not satisfy the 8PSK characteristic does not increase the complexity of precoding, and can satisfy constant modulus property and orthogonal property.

It is pointed out that K _nAlso can select to get the expanding to of eight kinds of concrete data model matrixes from the expansion of above-mentioned eight kinds of Mathematical Modeling matrixes: each row to matrix multiply by the element that identical or different 8PSK letter is concentrated; Perhaps each row to matrix multiply by the element that identical or different 8PSK letter is concentrated; Perhaps matrix be multiply by the constant of a setting.

Because 2 * 2 K _n(K ₀, K ₁... K _N-1) be based on that 8PSK letter collection or 4PSK letter collection choose, therefore can guarantee 2 * 2 K _nSatisfy orthogonal property, 8PSK characteristic, reach constant modulus property.

It is pointed out that if generate the coupling correlated channels code word, preferably, K _nThe matrix of middle coupling correlated channels can all be 2 * 2 matrix; If generate the code word of coupling non-correlation channel, K _nThe matrix of middle coupling non-correlation channel can comprise 2 * 2 and/or 4 * 4 matrix; When the value of N is big (preferably, a threshold value can be set as required, N greater than this threshold value time), and when needing to generate the code word of coupling non-correlation channel, preferably, K _nThe matrix of middle coupling non-correlation channel comprises 2 * 2 and 4 * 4 matrix simultaneously.

Above-mentioned steps 101 and step 102 have been described the first orthogonal matrix U respectively _nWith the second orthogonal matrix K _nSelection, it is to be noted, if contain the matrix that mates non-correlation channel, then not only can also determine according to other code book design rules in the prior art in first orthogonal matrix, second orthogonal matrix according to the choosing of the above-mentioned irrelevant matrix of coupling of the present invention; In addition, in the application of reality, also can select K earlier _n, select U again _nWork as K _nWhen being 2 * 2 matrix and when needing to generate the code word of correlated channels, U _nAnd K _nSatisfy following condition: if U _e=U _f, K then _e≠ K _f(e, f are smaller or equal to N).

Below in conjunction with U _nSpecify K _nChoose:

An if U _e=U _f, U _e, U _fBelong to O ₁, O ₂... O _k, be to mate correlated channels, and O ₁, O ₂... O _kIn do not have other matrix and U _e, U _fEquate, then K _e≠ K _f, so can guarantee the matrix M that expands _nHow available column vector is arranged; In addition, K _e, K _fShould evenly distribute in the space, bigger with the chordal distance of the matrix that guarantees to expand in the step 103.

At this moment, K _e, K _fThe first row rule that needs further to satisfy is: if K _e, K _fDo not contain neutral element, with K _e, K _fEach element convert complex exponential form to after, the 1st of each matrix is listed as between the 1st element and the 2nd element and has phase difference, and 2 of this 2 matrixes differ and evenly distribute in 0～2 π.While K _e, K _fAlso be equally distributed in the space, K like this _e, K _fCan have best quantification performance under the correlated channels situation in the dual polarized antenna scene of main flow.

About K _e, K _fThe preferred mode of first column selection:

K _e, K _fThe 1st row can from $p*\left[\begin{array}{c}1\\ -1\end{array}\right],p*\left[\begin{array}{c}1\\ 1\end{array}\right]$ In choose;

Or K _e, K _fThe 1st row can from $p*\left[\begin{array}{c}1\\ q3\end{array}\right],p*\left[\begin{array}{c}1\\ q1\end{array}\right]$ In choose;

Or K _e, K _fThe 1st row can from $p*\left[\begin{array}{c}1\\ q2\end{array}\right],p*\left[\begin{array}{c}1\\ q0\end{array}\right]$ In choose;

Or K _e, K _fThe 1st row can from $p*\left[\begin{array}{c}1\\ -j\end{array}\right],p*\left[\begin{array}{c}1\\ j\end{array}\right]$ In choose.

Wherein p is a constant, preferably can be the concentrated element of 8PSK letter, wherein, and q0=s0; Q1=s2; Q2=s3; Q3=s1; It is pointed out that K _e, K _fFirst row unequal.

Based on K _e, K _fChoosing of first row, preferably,

K _e, K _fCan from $\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right],\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& j\\ 1& -j\end{array}\right],\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& 1\\ j& -j\end{array}\right],\left[\begin{array}{cc}1& 1\\ -j& j\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& j\\ j& 1\end{array}\right],\left[\begin{array}{cc}1& -j\\ -j& 1\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& 1\\ q0& q2\end{array}\right],\left[\begin{array}{cc}1& 1\\ q2& q0\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& q3\\ q0& 1\end{array}\right],\left[\begin{array}{cc}1& q1\\ q2& 1\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& 1\\ q1& q3\end{array}\right],\left[\begin{array}{cc}1& 1\\ q3& q1\end{array}\right]$ In choose;

Or K _e, K _fCan from $\left[\begin{array}{cc}1& q0\\ q3& 1\end{array}\right],\left[\begin{array}{cc}1& q2\\ q1& 1\end{array}\right]$ In choose.

It is pointed out that as long as guarantee K _e, K _fSatisfy the selection rule of above-mentioned first row and meet in above-mentioned eight kinds of Mathematical Modelings the first six plant model, K _e, K _fCan from above-mentioned matrix, choose arbitrarily, be not limited to combination in twos described above.And because K _e, K _fSelection based on be phase difference, therefore can multiply by a constant p for arbitrary row of above-mentioned matrix, have the effect identical with above-mentioned matrix.

Based on above-mentioned K _e, K _fSelection, except the code word coupling correlated channels that can guarantee to generate, can also be applied to the generation of code word under the non-correlation channel, the matrix that generates in the controlled step 103 minimum chordal distance between any two maximizes preferably, so guarantees the performance of the code word under the non-correlation channel.It is to be noted when being applied to the generation of code word under the non-correlation channel, perhaps K _nWhen being 4 * 4 matrix, U _nAnd K _nNot necessarily satisfy above-mentioned: U _e=U _f, K then _e≠ K _fCondition.

If two U _e=U _f=U _g=U _h, U _e, U _f, U _g, U _hBelong to O ₁, O ₂... O _k, be to mate correlated channels, and O ₁, O ₂... O _kIn do not have other matrix and U _e, U _f, U _g, U _hEquate, then K _e≠ K _f≠ K _g≠ K _h, can guarantee that so the matrix that expands has how available column vector, and can guarantee that the minimum chordal distance of matrix can not be 0.K in addition _e, K _f, K _g, K _hShould evenly distribute in the space, bigger to guarantee the matrix minimum chordal distance and the mean chord that expand in the step 103.If U _e, U _f, U _g, U _hAll belong to O ₁, O ₂... O _k, U then _e, U _f, U _g, U _hBe to mate correlated channels.

At this moment, K _e, K _f, K _g, K _hThe first row rule that needs further to satisfy is: with K _e, K _f, K _g, K _hAfter each element of matrix converted complex exponential form to, the 1st of each matrix was listed as between the 1st element and the 2nd element and has phase difference, and 4 of this 4 matrixes differ and evenly distribute in the space.The phase difference that so can guarantee two polarised directions is equally distributed, by optimum quantification, under the correlated channels of dual polarized antenna scene, have preferable performance like this.

About K _e, K _f, K _g, K _hThe selection of first row:

K _e, K _f, K _g, K _hFirst row can from $\left[\begin{array}{c}1\\ -1\end{array}\right],\left[\begin{array}{c}1\\ 1\end{array}\right],\left[\begin{array}{c}1\\ -j\end{array}\right],\left[\begin{array}{c}1\\ j\end{array}\right]$ In choose;

Or K _e, K _f, K _g, K _hFirst row can from $\left[\begin{array}{c}1\\ s_0\end{array}\right],\left[\begin{array}{c}1\\ s_1\end{array}\right],\left[\begin{array}{c}1\\ s_2\end{array}\right],\left[\begin{array}{c}1\\ s_3\end{array}\right]$ In choose.

According to K _e, K _f, K _g, K _hThe 1st row phase difference need equally distributed principle, preferably, K _e, K _f, K _g, K _hThe 1st row can from $\left[\begin{array}{c}1\\ -1\end{array}\right],\left[\begin{array}{c}1\\ 1\end{array}\right],\left[\begin{array}{c}1\\ -j\end{array}\right],\left[\begin{array}{c}1\\ j\end{array}\right]$ In choose and K _e, K _f, K _g, K _hThe 1st row each is unequal.This selection mode can better adapt to the feature of correlated channels under the single-polarized antenna, some vectors in the matrix that so expands are in the correlated channels of single-polarized antenna model, not only the beam directional that produces after the precoding is obvious, and very even in spatial distributions.

Based on K _e, K _f, K _g, K _hChoosing of first row, preferably,

K _e, K _f, K _g, K _hFrom $\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right],\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right],\left[\begin{array}{cc}1& -1\\ j& j\end{array}\right],\left[\begin{array}{cc}1& -1\\ -j& -j\end{array}\right]$ In choose;

Or K _e, K _f, K _g, K _hFrom $\left[\begin{array}{cc}1& -1\\ 1& 1\end{array}\right],\left[\begin{array}{cc}1& -1\\ -1& -1\end{array}\right],\left[\begin{array}{cc}1& 1\\ j& -j\end{array}\right],\left[\begin{array}{cc}1& 1\\ -j& j\end{array}\right]$ In choose;

Or K _e, K _f, K _g, K _hFrom $\left[\begin{array}{cc}1& j\\ 1& -j\end{array}\right],\left[\begin{array}{cc}1& -j\\ -1& -j\end{array}\right],\left[\begin{array}{cc}1& -1\\ j& j\end{array}\right],\left[\begin{array}{cc}1& 1\\ -j& j\end{array}\right]$ In choose;

Or K _e, K _f, K _g, K _hFrom $\left[\begin{array}{cc}1& -j\\ 1& j\end{array}\right],\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right],\left[\begin{array}{cc}1& 1\\ j& -j\end{array}\right],\left[\begin{array}{cc}1& -1\\ -j& -j\end{array}\right]$ In choose;

Or K _e, K _f, K _g, K _hFrom $\left[\begin{array}{cc}1& j\\ 1& -j\end{array}\right],\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right],\left[\begin{array}{cc}1& 1\\ j& -j\end{array}\right],\left[\begin{array}{cc}1& 1\\ -j& j\end{array}\right]$ In choose;

Or K _e, K _f, K _g, K _hFrom $\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right],\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right],\left[\begin{array}{cc}1& 1\\ j& -j\end{array}\right],\left[\begin{array}{cc}1& 1\\ -j& j\end{array}\right]$ In choose.

It is pointed out that as long as guarantee K _e, K _f, K _g, K _hSatisfy the selection rule of above-mentioned first row and meet above-mentioned 6 kinds of Mathematical Modelings, K _e, K _f, K _g, K _hCan from above-mentioned matrix, choose arbitrarily, be not limited to 4 combinations of matrices described above.

Above K _e, K _f, K _g, K _hChoose and considered this 4 matrixes on the direction vector and the most even distribution on the dual polarized antenna phase difference, and can guarantee the M that generates in the step 103 ₀, M ₁... M _N-1Column vector when single-polarized antenna, still can have tangible directivity, and can guarantee direction vector 120 the degree and 180 the degree directions on evenly the distribution.Like this, the application scenarios of dual polarized antenna can be adapted to, the application scenarios of single-polarized antenna can be adapted to again.And the minimum chordal distance between these matrixes is bigger, can also guarantee that the code word that the expansion of these matrixes obtains can mate non-correlation channel.The code word that it is pointed out that the coupling correlated channels also can be used for non-correlation channel, as long as the chordal distance of matrix is not 0.

Step 103 is according to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending is constructed the matrix M of N individual 8 * 8 _nMatrix M _n

Based on the U that selects in the above-mentioned steps _n, K _nIf, K _nBe 2 * 2 matrixes, then use the long-pending mode of Kronecker:

Or

The M of structure 8 * 8 _n(M ₀, M ₁... M _N-1); If K _nBe 4 * 4 matrixes, then use the long-pending mode of similar Kronecker $\left[\begin{array}{cc}{a}_n{U}_n& c_n{K}_n\\ b_n{U}_n& d_n{K}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{U}_n\\ b_n{K}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{K}_n\\ b_n{U}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{U}_n& c_n{U}_n\\ b_n{K}_n& d_n{K}_n\end{array}\right]$ The M of structure 8 * 8 _n(M ₀, M ₁... M _N-1).Wherein, $\left(\begin{array}{cc}{a}_n& c_n\\ b_n& d_n\end{array}\right)$ Be orthogonal matrix, a _n, b _n, c _n, d _nCan be the concentrated element of 8PSK letter.

If $A_n=\left(\begin{array}{cc}{a}_n& c_n\\ b_n& d_n\end{array}\right),$ A then _nCan be from K _nThe first six plant in model and choose arbitrarily.

Same, consider under some dual polarization scene, polarize, and receiving terminal also is the vertical-horizontal polarization as the transmitting terminal vertical-horizontal, from the channel characteristic value exploded angle, always there is 0 element in characteristic vector, for better matching channel in the case, also should have 0 element in the code book.At this moment, a _n, b _n, c _n, d _nIn can promising 0 element, a _n, d _nBe 0 simultaneously, perhaps b _n, c _nBe 0 simultaneously, but a _n, b _n, c _n, d _nBe not 0 simultaneously, this moment A _nCan be from K _nBack two kinds of models in choose arbitrarily.

a _n, d _nBe 0 simultaneously, perhaps b _n, c _nBe 0 o'clock simultaneously, consequent 8 * 8 matrix M _nIn a part of element satisfy the 8PSK characteristic, a part 0 element that do not satisfy the 8PSK characteristic does not increase the complexity of precoding in addition, and can satisfy constant modulus property and orthogonal property.

It is pointed out that A _nAlso can from the expansion of above-mentioned eight kinds of models, choose the same K of expansion of eight kinds of concrete models _nThe expansion of eight kinds of models, repeat no more herein.

Step 104: from M _nPart code word under middle extraction one row or the multiple row formation 8Tx in the sub-codebook of each Rank.

Preferable, from M _nIn when extracting part code word in the sub-codebook that row or multiple row constitute each Rank, need satisfy Nested property, can reduce memory space like this, reduce CQI (CQI, ChannelQuality Indicator) amount of calculation and support the Rank adaptive change.Other code words in the sub-codebook of Rank can be determined according to code book method for designing of the prior art.

So-called Nested property is meant that for the code word of the same call number under the different Rank, the low-rank code word constitutes by extracting several row in the high order code word.Nested property can make transmitting-receiving sending end memory space reduce, and in the application of reality, Rank often changes automatically, and satisfying Nested property can be so that the self adaptation of Rank becomes to be more prone to, and can reduce the complexity that CQI calculates; In addition, at the UE end, as long as the code book of its storage obtains the code book of the highest Rank correspondence, the situation of other Rank only need be extracted in the code book of the highest Rank correspondence and get final product, and has so saved the storage overhead of UE.

Below by specific embodiment the solution of the present invention is described:

Embodiment 1, determines N=16 as required.

1, U _nChoose.

The matrix of the coupling correlated channels that obtains if desired is M _nIn preceding 8, be M ₀, M ₁... M ₇, then can determine M ₀, M ₁... M ₇By O ₁, O ₂... O _kProduce, preferably, k=8, O ₁, O ₂... O _kCan be U ₀, U ₁... U ₇Suppose U ₈, U ₉... U ₁₅Be the matrix of coupling non-correlation channel, can adopt the choosing method of coupling non-correlation channel matrix in first orthogonal matrix of the present invention, also can adopt in the prior art other code book design rules to determine.It is pointed out that O ₁, O ₂... O _kCorresponding U _nAlso can be discontinuous (call number is discontinuous).Embodiments of the invention are with O ₁, O ₂... O _kBe U ₀, U ₁... U ₇Be example.

O ₁, O ₂... O _k(U ₀, U ₁... U ₇) in matrix be the coupling correlated channels, promptly be from W ₀, W ₁... W ₇In choose different O _kCan select identical W _nIf current available code word number is less, and need on the phase difference dimension of dual polarized antenna, quantize meticulouslyr, then on the direction dimension, should use less direction vector, further, when needing to guarantee that direction vector evenly distributes on 120 degree directions, O ₁, O ₂... O _kCan be all from W ₀, W ₁... W ₃In choose; When needing to guarantee that direction vector evenly distributes on 180 degree directions, O ₁, O ₂... O _kCan be all from W ₄, W ₅... W ₇In choose.Hence one can see that, W ₀, W ₁... W ₃Perhaps W ₄, W ₅... W ₇In each matrix at O ₁, O ₂... O _kIn all have 2 matrixes to equate with it.Can guarantee that so beam direction is uniformly in 120 degree or 180 degree, and 2 identical basis matrixs are arranged on each direction.

Preferably, U _nChoosing shown in table 3 and table 4 of the matrix of middle coupling correlated channels:

Table 3

Table 4

Preferably, U _nChoosing of the matrix of middle coupling non-correlation channel is as shown in table 5:

Table 5

2, K _nChoose.

Suppose U ₀, U ₁... U ₇Middle U ₀=U ₁, U ₂=U ₃, U ₄=U ₅, U ₆=U ₇, then can determine K ₀≠ K ₁, K ₂≠ K ₃, K ₄≠ K ₅, K ₆≠ K ₇Preferably, according to the K that describes in the step 102 _nSelection rule, K ₀～K ₇Choose as shown in table 6:

Table 6

Preferably, K ₈～K ₁₅Choose as shown in table 7:

Table 7

It is bigger with average chordal distance so to protect N the minimum chordal distance between the code word, better performances under non-correlation channel.

3, generate M _n

If K _nBe 2 * 2 matrix, and choose

Then

$M_0=K_0\⊗U_0=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\⊗W_0;$ $M_1=K_1\⊗U_1=\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right]\⊗W_0;$

$M_2=K_2\⊗U_2=\left[\begin{array}{cc}1& j\\ 1& -j\end{array}\right]\⊗W_1;$ $M_3=K_3\⊗U_3=\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right]\⊗W_1$ ......

$M_{N-1}=K_{N-1}\⊗U_{N-1}=\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right]\⊗W_{N-1}.$

4, generated codeword.

From M _nIn choose row or multiple row constitutes part code word under each Rank:

From M ₀, M ₁... M _N-1In choose the 1st row as the part code word of Rank=1

From M ₀, M ₁... M _N-1In choose the 1st, 5 row as the part code words of Rank=2

From M ₀, M ₁... M _N-1In choose the 1st, 2,5 row as the part code words of Rank=3

From M ₀, M ₁... M _N-1In choose the 1st, 2,5,6 row as the part code words of Rank=4

From M ₀, M ₁... M _N-1In choose the 1st, 2,3,5,6 row as the part code words of Rank=5

From M ₀, M ₁... M _N-1In choose the 1st, 2,3,5,6,7 row as the part code words of Rank=6

From M ₀, M ₁... M _N-1In choose the 1st, 2,3,4,5,6,7 row as the part code words of Rank=7

From M ₀, M ₁... M _N-1In choose the 1st, 2,3,4,5,6,7,8 row as the part code words of Rank=8.

The code word of above-mentioned generation meets Nested property.The part code word that it is pointed out that Rank=1 need be chosen M ₀, M ₁... M _N-1The 1st row constitute; The part code word of Rank=2 needs M ₀, M ₁... M _N-1The 1st, 5 row constitute; Choosing as required of Rank=3,4,5,6,7,8 part code word determined, is not limited to cited the choosing of this embodiment.

Embodiment 2, determine N=32 as required.

1, U _nChoose.

The matrix of the coupling correlated channels that obtains if desired is M _nIn preceding 16, be M ₀, M ₁... M ₁₅, then can determine M ₀, M ₁... M ₁₅By O ₁, O ₂... O _kProduce, preferably, k=16, O ₁, O ₂... O _kCan be U ₀, U ₁... U ₁₅Suppose U ₁₆, U ₁₇... U ₃₁Be the matrix of coupling non-correlation channel, can adopt the choosing method of coupling non-correlation channel matrix in first orthogonal matrix of the present invention, also can adopt in the prior art other code book design rules to determine.It is pointed out that O ₁, O ₂... O _kCorresponding U _nAlso can be discontinuous (call number is discontinuous).

O ₁, O ₂... O _k(U ₀, U ₁... U ₁₅) in matrix be the coupling correlated channels, promptly be from W ₀, W ₁... W ₇In choose different O _kCan select identical W _nIf think that current available code word number is less, and need on the phase difference dimension of dual polarized antenna, quantize meticulouslyr, then on the direction dimension, should use less direction vector, further, when needing to guarantee that direction vector evenly distributes on 120 degree directions, O ₁, O ₂... O _kCan be all from W ₀, W ₁... W ₃In choose; When needing to guarantee that direction vector evenly distributes on 180 degree directions, O ₁, O ₂... O _kCan be all from W ₄, W ₅... W ₇In choose.Hence one can see that, W ₀, W ₁... W ₃Perhaps W ₄, W ₅... W ₇In each matrix at O ₁, O ₂... O _kIn all have 4 matrixes to equate with it.Can guarantee that so beam direction is uniformly in 120 degree or 180 degree, and 4 identical basis matrixs are arranged on each direction.

Preferably, U _nThe matrix U of middle coupling correlated channels ₀～U ₁₅Choose shown in table 8 table 9: establish m=0～3

Table 8

Table 9

Preferably, U _nThe matrix U of middle coupling non-correlation channel ₁₆～U ₃₁Choose as shown in table 10: establish m=8～15

Table 10

2, K _nChoose.

Suppose U ₀, U ₁... U ₁₅Middle U _4m=U _4m+1=U _4m+2=U _4m+3, then can determine K _4m≠ K _4m+1≠ K _4m+2≠ K _4m+3, m=0～3; Preferably, according to the K that describes in the step 102 _nSelection rule, K ₀～K ₁₅Choose as shown in table 11:

Table 11

K ₁₆～K ₃₁Determine can be according to the present invention in second orthogonal matrix matrix of coupling non-correlation channel choose, also can determine according to other code book method for designing in the prior art.

3, generate M _n

If K _nBe 2 * 2 matrix, and choose

Then

$M_0=U_0\⊗K_0=W_0\⊗\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right];$ $M_1=U_1\⊗K_1=W_0\⊗\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right];$

$M_2=U_2\⊗K_2=W_1\⊗\left[\begin{array}{cc}1& j\\ 1& -j\end{array}\right];$ $M_3=U_3\⊗K_3=W_1\⊗\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right]$ ......

$M_{N-1}=U_{N-1}\⊗K_{N-1}=W_{N-1}\⊗\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right].$

4, generated codeword.

Can adopt the code word of embodiment 1 to constitute, repeat no more herein.

Embodiment 3, determine N=16 or 32 as required.

If wherein mating the matrix of correlated channels is M _nIn whole 16 (N=16), or preceding 16 (N=32) are M ₀, M ₁... M ₁₅, k=16 then, M ₀, M ₁... M ₁₅By O ₁, O ₂... O _kProduce, just U ₀, U ₁... U ₁₅, other U value then is to determine by other code book methods for designing in the prior art.Certainly, if the matrix of coupling correlated channels is not regular like this distribution, O ₁, O ₂... O _kAt U _nDistribution also can be discontinuous.

O ₁, O ₂... O _k(U ₀, U ₁... U ₇) in matrix be from W ₀, W ₁... W ₇In choose different O _kCan select identical W _nIn order to guarantee the even distribution on 120 degree or 180 degree directions, W ₀, W ₁... W ₇In each matrix at O ₁, O ₂... O _kIn all have 2 matrixes to equate with it.

Preferably, U ₀～U ₁₅Selection as shown in table 12: m=0～7

Table 12

Preferably, U ₁₆～U ₃₁Selection as shown in table 13: m=8～15

Table 13

Preferably, K _nSelection as:

K wherein _2m≠ K _2m+1, m=0,1,2,3......7

Certainly, also can select

Or

Or

It is pointed out that K herein _2mAnd K _2m+1Selection be not limited to all will from above-mentioned same group of matrix, choose, when m=r, also can choose:

During m=1, also can choose:

M _nGeneration identical with previously described embodiment 1, repeat no more herein.

From M _nIn choose row or multiple row constitutes part code word each Rank under: (following this mode is the identical example of selection rule of the code word of different call number (Index) correspondence)

From M ₀In to choose the 1st row be 0 part code word as the Index among the Rank=1;

From M ₁In to choose the 2nd row be 1 part code word as the Index among the Rank=1;

From M _N-1In to choose the 8th row be the part code word of N-1 as the Index among the Rank=1;

Perhaps,

From M ₀In to choose the 1st, 5 row be 0 part code word as the Index among the Rank=2;

From M ₁In to choose the 5th, 1 row be 1 part code word as the Index among the Rank=2;

From M _N-1In to choose the 2nd, 6 row be the part code word of N-1 as the Index among the Rank=2;

Perhaps

From M ₀In to choose the 1st, 2,5 row be 0 part code word as the Index among the Rank=2;

From M ₁In to choose the 5th, 1,6 row be 1 part code word as the Index among the Rank=2;

From M _N-1In to choose the 5th, 2,6 row be the part code word of N-1 as the Index among the Rank=2;

Perhaps,

Other Rank also similarly keeps Nested property to get final product for the code word of the different Rank under each Index.

Embodiment 4, determine N=16 or 32 as required.

If the matrix of coupling correlated channels is M ₀, M ₁... M _N-1In whole 16 (N=16), or preceding 16 (N=32) are M ₀, M ₁... M ₁₅, then determine k=16.

Can provide K earlier _nSelection as:

K wherein _2m≠ K _2m+1, m=0～7.

Provide corresponding U again _nSelection, U ₀～U ₁₅Selection: m=0～7

Table 14

Under the situation of N=32, U ₁₆～U ₃₁Selection: m=8～15

Table 15

M _nGeneration identical with previously described embodiment, repeat no more herein.

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

Embodiment 5, determine N=16 or 32 as required.

If the matrix of coupling correlated channels is M ₀, M ₁... M _N-1In whole 16 (N=16), or preceding 16 (N=32) are M ₀, M ₁... M ₁₅, then determine k=16.

Preferably, U ₀～U ₁₅Selection: m=0～7

Table 16

If then there is U in N=32 ₁₆～U ₃₁, preferably, U ₁₆～U ₃₁Can select: m=8～15

Table 17

Preferably, K _n(K ₀～K ₁₅) selection as follows:

Table 18

K wherein _2m≠ K _2m+1, m=0,1,2,3......7

K ₁₆～K ₃₁Satisfy 8PSK characteristic, orthogonal property and constant modulus property; K wherein _2m≠ K _2m+1, m=8～15.

M _nGeneration identical with previously described embodiment, repeat no more herein.

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

Embodiment 6, determine N=16 or 32 as required.

If the matrix of coupling correlated channels is M ₀, M ₁... M _N-1In whole 16 (N=16), or preceding 16 (N=32) are M ₀, M ₁... M ₁₅, then determine k=16.

Preferably, U ₀～U ₁₅Selection: m=0～7

Table 19

If N=32 then have U ₁₆～U ₃₁, preferably, U ₁₆～U ₃₁Can select: m=8～15

Table 20

Preferably, K _n(K ₀～K ₁₅) selection as:

Table 21

Wherein, K _2m≠ K _2m+1, m=0,1,2,3......7

K ₁₆～K ₃₁Satisfy 8PSK characteristic, orthogonal property and constant modulus property; K wherein _2m≠ K _2m+1, m=8～15.

K _nWhen being 2 * 2 matrix, M _nGeneration can mix selection $M_n=K_n\⊗U_n$ Or $M_n=U_n\⊗K_n:$

$M_m=K_m\⊗U_m,$ m＝0，1，2，…15：

$M_0=K_0\⊗U_0=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\⊗W_0$

$M_1=K_1\⊗U_1=\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right]\⊗W_0$

$M_2=K_2\⊗U_2=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\⊗W_1$

$M_3=K_3\⊗U_3=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\⊗W_1$

......

$M_l=U_l\⊗K_l,$ l＝16，17，18，…31

$M_{16}=U_{16}\⊗K_{16}=W_8\⊗\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]$

$M_{17}=U_{17}\⊗K_{17}=W_8\⊗\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right]$

$M_{18}=U_{18}\⊗K_{18}=W_9\⊗\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]$

$M_{19}=U_{19}\⊗K_{19}=W_{19}\⊗\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]$

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

Embodiment 7, determine N=16 or 32 as required.

U _nAnd K _nSelection with embodiment 6, repeat no more herein.

K _nBoth comprised 4 * 4 matrix, also comprised at 2 * 2 o'clock, M _nStructure can choose: Or Or $\left[\begin{array}{cc}{a}_n{U}_n& c_n{K}_n\\ b_n{U}_n& d_n{K}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{U}_n\\ b_n{K}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{K}_n\\ b_n{U}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{U}_n& c_n{U}_n\\ b_n{K}_n& d_n{K}_n\end{array}\right].$ Concrete as:

$M_m=K_m\⊗U_m,$ m＝0，1，2，…15

$M_0=K_0\⊗U_0=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\⊗W_0$

$M_1=K_1\⊗U_1=\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right]\⊗W_0$

$M_2=K_2\⊗U_2=\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]\⊗W_1$

......

$M_{15}=K_{15}\⊗U_{15}=\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right]\⊗W_7$

M ₁₆～M ₃₁Generation can for:

$M_{16}=\left[\begin{array}{cc}{a}_{16}{U}_{16}& c_{16}{K}_{16}\\ b_{16}{U}_{16}& d_{16}{K}_{16}\end{array}\right]$

$M_{17}=\left[\begin{array}{cc}{a}_{17}{K}_{17}& c_{17}{U}_{17}\\ b_{17}{K}_{17}& d_{17}{U}_{17}\end{array}\right]$

$M_{18}=\left[\begin{array}{cc}{a}_{18}{K}_{18}& c_{18}{U}_{18}\\ b_{18}{U}_{18}& d_{18}{K}_{18}\end{array}\right]$

$M_{19}=\left[\begin{array}{cc}{a}_{19}{U}_{19}& c_{19}{K}_{19}\\ b_{19}{K}_{19}& d_{19}{U}_{19}\end{array}\right]$

${\mathrm{<figure-callout\; id="20"\; label="M"\; filenames="A2009101662920043H1.png"\; state="\{\{state\}\}">M</figure-callout>}}_{20}={\mathrm{<figure-callout\; id="10"\; label="W"\; filenames="A2009101662920043H1.png"\; state="\{\{state\}\}">W</figure-callout>}}_{10}\&CircleTimes;{\mathrm{<figure-callout\; id="20"\; label="K"\; filenames="A2009101662920043H1.png"\; state="\{\{state\}\}">K</figure-callout>}}_{20}$ ......

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

Embodiment 8, determine N=16 or 32 as required.

If the matrix of coupling correlated channels is M ₀, M ₁... M _N-1In preceding 16, M ₀, M ₁... M ₁₅, then determine k=16; M ₀, M ₁... M ₁₅O by correspondence ₁, O ₂... O _kProduce, just U ₀, U ₁... U ₁₅If N=16 has not then had other U value; If N=32, then other U value is to mate non-correlation channel, then can determine by other code book method for designing in the prior art, also can choose by method of the present invention.

O ₁, O ₂... O _k(U ₀, U ₁... U ₇) in matrix from W ₀, W ₁... W ₇In choose, when need guaranteeing that direction vector evenly distributes on 120 degree directions, O ₁, O ₂... O _kCan be all from W ₀, W ₁... W ₃In choose; When needing to guarantee that direction vector evenly distributes on 180 degree directions, O ₁, O ₂... O _kCan be all from W ₄, W ₅... W ₇In choose.Hence one can see that, W ₀, W ₁... W ₃Perhaps W ₄, W ₅... W ₇In each matrix at O ₁, O ₂... O _kIn all have 2 matrixes to equate with it.Can guarantee that so beam direction is uniformly in 120 degree or 180 degree, and 2 identical basis matrixs are arranged on each direction.

Preferably, U _nChoosing of the matrix of middle coupling correlated channels is as follows:

Table 25

U _nIn other matrixes when selecting, need satisfy the 8PSK characteristic.

Preferably, K _nThe selection of (n=0～15)

Table 26

[a wherein _nb _n] ^TWith K _nThe first row quadrature, and a _n, b _nAll be element n=0～15 that the 8PSK letter is concentrated.

M _nGeneration identical with embodiment 2, repeat no more herein.

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

For U _nAnd K _nChoose, this embodiment is a kind of preferable selection.

Embodiment 9, determine N=16 or 32 as required.

If the matrix of coupling non-correlation channel is M ₀, M ₁... M _N-1In preceding 16, the coupling correlated channels matrix be M ₀, M ₁... M _N-1In other 16; Or the coupling non-correlation channel is 16 whole matrixes.The U that then mates non-correlation channel _nFrom W ₈, W ₉... W ₁₅In choose, as follows:

Table 27

Preferably, K _nThe selection of (n=0～15) is as follows:

Table 28

M _nGeneration identical with embodiment 2, repeat no more herein.

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

Embodiment 10, determine N=16 as required.

If wherein mating the matrix of correlated channels is M ₀, M ₁... M _N-1In preceding 8, the coupling non-correlation channel matrix be M ₀, M ₁... M _N-1In other 8.The U that then mates non-correlation channel _nFrom W ₈, W ₉... W ₁₅In choose, as follows:

Table 29

It is pointed out that the U of coupling non-correlation channel not necessarily corresponding be exactly U ₀～U ₇, concrete determines as required.

Suppose K herein _nBe 4 * 4 matrix, K then _nChoose as follows:

Table 30

This method can have preferable performance so that minimum chordal distance and average chordal distance are very even under non-correlation channel.

Generate M _nThe time, can select $M_n=\left[\begin{array}{cc}{a}_n{U}_n& c_n{K}_n\\ b_n{U}_n& d_n{K}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{U}_n\\ b_n{K}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{K}_n\\ b_n{U}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{U}_n& c_n{U}_n\\ b_n{K}_n& d_n{K}_n\end{array}\right]$ In one or more.

From M _nIn choose row or multiple row constitutes part code word under each Rank: identical with the selection of embodiment 2 herein, repeat no more.

Embodiment 11, determine N=32 as required.

1, U _nChoose.

The matrix of the coupling correlated channels that obtains if desired is M _nIn preceding 8, be M ₀, M ₁... M ₇, then can determine M ₀, M ₁... M ₇By O ₁, O ₂... O _kProduce, preferably, k=8, O ₁, O ₂... O _kCan be U ₀, U ₁... U ₇U then ₈, U ₉... U ₃₁Be the matrix of coupling non-correlation channel, can adopt the choosing method of coupling non-correlation channel matrix in first orthogonal matrix of the present invention, also can adopt in the prior art other code book design rules to determine.It is pointed out that O ₁, O ₂... O _kCorresponding U _nAlso can be discontinuous (call number is discontinuous).

O ₁, O ₂... O _k(U ₀, U ₁... U ₇) in matrix be the coupling correlated channels, promptly be from W ₀, W ₁... W ₇In choose

Preferably, the matrix U of coupling correlated channels ₀, U ₁... U ₇Be chosen for: $U_n=W_m=I-2u_m{u}_m^H/u_m^H{u}_m,$ Wherein, m=0～7.

2, K _nChoose.

Preferably, according to the K that describes in the step 102 _nSelection rule, the performance that is increased under some scene of dual polarized antenna is considered K ₀～K ₇Can from following four kinds of matrixes, choose arbitrarily:

$\left[\begin{array}{cc}1& 0\\ 0& 1\end{array}\right],$ Or $\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right],$ Or $\left[\begin{array}{cc}1& 1\\ j& -j\end{array}\right],$ Or $\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right].$

K ₈, K ₉... K ₃₁Determine can be according to the present invention in second orthogonal matrix matrix of coupling non-correlation channel choose, also can determine according to other code book method for designing in the prior art.

3, generate M _n

If K _nBe 2 * 2 matrix, and choose

Then

$M_0=U_0\&CircleTimes;K_0=W_0\&CircleTimes;\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right];$ $M_1=U_1\&CircleTimes;K_1=W_0\&CircleTimes;\left[\begin{array}{cc}1& 1\\ -1& 1\end{array}\right];$

$M_2=U_2\&CircleTimes;K_2=W_1\&CircleTimes;\left[\begin{array}{cc}1& j\\ 1& -j\end{array}\right];$ $M_3=U_3\&CircleTimes;K_3=W_1\&CircleTimes;\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right];$ ......

$M_{N-1}=U_{N-1}\&CircleTimes;K_{N-1}=W_{N-1}\&CircleTimes;\left[\begin{array}{cc}1& j\\ -1& j\end{array}\right].$

Also can adopt otherwise, as $M_n=K_n\&CircleTimes;U_n.$

4, generated codeword.

Can adopt the code word of embodiment 1 to constitute, repeat no more herein.For realizing the precoding codebook building method of above-mentioned multi-input multi-output system, the present invention also provides a kind of precoding codebook device of multi-input multi-output system, as shown in Figure 2, comprising: matrix is chosen module 10, matrix generation module 20 and code book generation module 30, wherein

Matrix is chosen module 10, is used to choose the first orthogonal matrix U of N individual 4 * 4 _n, and N the second orthogonal matrix K _n, and with the U that chooses _nAnd K _nOffer the matrix generation module;

Matrix generation module 20 is used for according to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending generates the matrix M of N individual 8 * 8 _n

Code book generation module 30 is used for from matrix M _nIn choose 1 row or multiple row and generate part code word in the sub-codebook of each Rank under 8 antennas.

Matrix is chosen module 10 and is further used for, from orthogonal matrix W _nIn choose N U _n, and $W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ u _nBe vector, comprise u ₀u ₁₅

K _nWhen being 4 * 4 matrix, matrix is chosen module 10 and is further used for, from W _nW ₀～W ₁₅In choose K _n

K _nWhen being 2 * 2 matrix, matrix is chosen module 10 and is further used for, and chooses K from following eight kinds of Mathematical Modeling matrixes _n:

$K_n=\left[\begin{array}{cc}{w}_1& w_1\\ w_2& {-w}_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& -w_2\\ w_1& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_1& w_2\\ w_1& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& w_1\\ {-w}_2& w_1\end{array}\right],$

$K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ -w_4& {w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ w_4& {{-w}_3}^{*}\end{array}\right];$ $K_n=\left[\begin{array}{cc}{w}_3& 0\\ 0& w_4\end{array}\right],$ $K_n=\left[\begin{array}{cc}0& w_3\\ w_4& 0\end{array}\right].$

Wherein, w ₁, w ₂Be 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, w ₃, w ₄Collect for 4PSK is alphabetical 1 ,-1, j, the element the among-j}.

The above is preferred embodiment of the present invention only, is not to be used to limit protection scope of the present invention.

Claims (13)

1, a kind of precoding codebook building method of multi-input multi-output system is characterized in that, this method comprises:

Choose the first orthogonal matrix U of N individual 4 * 4 _n, and choose N the second orthogonal matrix K _n

According to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending is constructed the matrix M of N individual 8 * 8 _n

From matrix M _nIn choose row or multiple row and generate part code word in the sub-codebook of each order Rank under 8 antennas.

2, according to the precoding codebook building method of the described multi-input multi-output system of claim 1, it is characterized in that described N≤2 ^B, B is the channel overhead bit number of feedback channel information CSI, is positive integer;

A described N U _nFrom orthogonal matrix W _nIn choose; Described $W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ u _nBe vector, comprise u ₀～u ₁₅

According to the precoding codebook building method of the described multi-input multi-output system of claim 2, it is characterized in that 3, this method further comprises: a described N U _nIn comprise k orthogonal matrix that adapts to correlated channels, be arranged as O by the size order of call number n ₁, O ₂... O _k, and O ₁, O ₂... O _kFrom described W _nW ₀～W ₇In choose k≤N.

4, according to the precoding codebook building method of the described multi-input multi-output system of claim 3, it is characterized in that described O ₁, O ₂... O _kFrom W ₀～W ₇In choose, be specially:

When needing direction vector in 120 degree, evenly to distribute, O ₁, O ₂... O _kFrom W ₀～W ₃In choose;

Perhaps, when needing direction vector in 180 degree, evenly to distribute, O ₁, O ₂... O _kFrom W ₄～W ₇In choose;

Perhaps, O ₁, O ₂... O _kComprise W ₀～W ₇

Described direction vector is O ₁, O ₂... O _kIn the direction vector that forms of first row.

5, according to the precoding codebook building method of the described multi-input multi-output system of claim 2, it is characterized in that a described N K _nBe 2 * 2 orthogonal matrix, or 4 * 4 orthogonal matrix;

K _nWhen being 2 * 2 orthogonal matrix, the long-pending mode of corresponding Kronecker is specially:

Or

K _nWhen being 4 * 4 orthogonal matrix, the long-pending mode of corresponding similar Kronecker is specially: $\left[\begin{array}{cc}{a}_n{U}_n& c_n{K}_n\\ b_n{U}_n& d_n{K}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{U}_n\\ b_n{K}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{K}_n& c_n{K}_n\\ b_n{U}_n& d_n{U}_n\end{array}\right],$ Or $\left[\begin{array}{cc}{a}_n{U}_n& c_n{U}_n\\ b_n{K}_n& d_n{K}_n\end{array}\right],$ Described $\left(\begin{array}{cc}{a}_n& c_n\\ b_n& d_n\end{array}\right)$ Be orthogonal matrix, a _n, b _n, c _n, d _nBe 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, perhaps a _n, d _nBe 0 simultaneously, perhaps b _n, c _nBe 0 simultaneously.

According to the precoding codebook building method of the described multi-input multi-output system of claim 5, it is characterized in that 6, the value of described N is during greater than preset threshold value, K _nThe matrix of middle coupling non-correlation channel had both comprised 2 * 2 orthogonal matrix, also comprised 4 * 4 orthogonal matrix.

7, according to the precoding codebook building method of claim 5 or 6 described multi-input multi-output systems, it is characterized in that, if K _nBe 4 * 4 orthogonal matrix, K _nFrom W ₀～W ₁₅In choose, concrete:

Generate the code word that is fit to correlated channels, then K if desired _nFrom W ₀～W ₇In choose;

Generate the code word that is fit to non-correlation channel, then K if desired _nFrom W ₈～W ₁₅In choose.

8, according to the precoding codebook building method of claim 5 or 6 described multi-input multi-output systems, it is characterized in that described K _nWhen being 2 * 2 orthogonal matrix, this method further comprises: described 2 * 2 orthogonal matrix is chosen from following eight kinds of Mathematical Modeling matrixes:

$K_n=\left[\begin{array}{cc}{w}_1& w_1\\ w_2& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& {-w}_2\\ w_1& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_1& w_2\\ w_1& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& w_1\\ {-w}_2& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ -w_4& {w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ w_4& {{-w}_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& 0\\ 0& w_4\end{array}\right],$ $K_n=\left[\begin{array}{cc}0& w_3\\ w_4& 0\end{array}\right];$

Wherein, w ₁, w ₂Be 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, w ₃, w ₄Collect for 4PSK is alphabetical 1 ,-1, j, the element the among-j}.

9, the precoding codebook building method of described multi-input multi-output system according to Claim 8, it is characterized in that this method further comprises: described 2 * 2 orthogonal matrix is chosen from the expansion of described eight kinds of Mathematical Modeling matrixes;

The expansion of described eight kinds of Mathematical Modelings is specially: each row of described matrix be multiply by the element that identical or different 8PSK letter is concentrated; Perhaps each row with described matrix multiply by the element that identical or different 8PSK letter is concentrated; Perhaps described matrix be multiply by a constant.

According to the precoding codebook building method of the described multi-input multi-output system of claim 1, it is characterized in that 10, during code word under described generation 8 antennas in the sub-codebook of each order Rank, this method further comprises: according to Nested property, from matrix M _nIn choose row or multiple row and generate part code word in the sub-codebook of each order Rank under 8 antennas.

11, a kind of precoding codebook constructing apparatus of multi-input multi-output system is characterized in that, this device comprises: matrix is chosen module, matrix generation module and code book generation module, wherein,

Described matrix is chosen module, is used to choose the first orthogonal matrix U of N individual 4 * 4 _n, and N the second orthogonal matrix K _n, and with the U that chooses _nAnd K _nOffer described matrix generation module;

Described matrix generation module is used for according to the U that chooses _nAnd K _n, mode long-pending by Kronecker or that similar Kronecker is long-pending generates the matrix M of N individual 8 * 8 _n

Described code book generation module is used for from matrix M _nIn choose 1 row or multiple row and generate code word in the sub-codebook of each Rank under 8 antennas.

According to the precoding codebook constructing apparatus of the described multi-input multi-output system of claim 11, it is characterized in that 12, described matrix is chosen module and is further used for, from orthogonal matrix W _nIn choose N U _n, and $W_n=I-2u_n{u}_n^H/u_n^H{u}_n,$ u _nBe vector, n=0～15;

Described W _nSatisfy 8 phase shift keying PSK characteristics, constant modulus property and orthogonal property.

13, according to the precoding codebook constructing apparatus of claim 11 or 12 described multi-input multi-output systems, it is characterized in that,

Described K _nWhen being 4 * 4 matrix, matrix is chosen module and is further used for, from W _nW ₀～W ₁₅In choose K _n

Described K _nWhen being 2 * 2 matrix, matrix is chosen module and is further used for, and chooses K from following eight kinds of Mathematical Modeling matrixes _n: $K_n=\left[\begin{array}{cc}{w}_1& w_1\\ w_2& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& {-w}_2\\ w_1& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_1& w_2\\ w_1& -w_2\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_2& w_1\\ {-w}_2& w_1\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ -w_4& {w_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& {w_4}^{*}\\ w_4& {{-w}_3}^{*}\end{array}\right],$ $K_n=\left[\begin{array}{cc}{w}_3& 0\\ 0& w_4\end{array}\right],$ $K_n=\left[\begin{array}{cc}0& w_3\\ w_4& 0\end{array}\right];$

Wherein, w ₁, w ₂Be 8PSK letter collection $\{1,-1,j,-j,\frac{1+j}{\sqrt{2}},\frac{-1+j}{\sqrt{2}},\frac{1-j}{\sqrt{2}},\frac{-1-j}{\sqrt{2}}\}$ In element, w ₃, w ₄Collect for 4PSK is alphabetical 1 ,-1, j, the element the among-j}.

Images