CN101615941B - Measuring method of channel matrix rank, device and terminal - Google Patents

Abstract

The invention provides a measuring method of a channel matrix rank, a device and a terminal, wherein, the method is applied to a wireless communication system terminal; antennas of the wireless communication system terminal are configured as follows: two-transmitting and two-receiving, two-transmitting and four-receiving or four-transmitting and two-receiving. The measuring method comprises the following steps: generating a hermitian matrix A according to a channel matrix H; constructing an equation group with a characteristic value of nonnegative real numbers by using the hermitian matrix A; and judging the rank of the channel matrix H according to the coefficients of the equation group, so as to lead the base station to determine the number of data flows sent to the terminal according to the rank. The invention is applicable to the terminal of the wireless communication system with two-transmitting and two-receiving, four-transmitting and two-receiving and two-transmitting and four-receiving antennas, and can measure the rank of the two-step matrix. Under the condition of achieving the same performance, the measuring method has very little computation quantity, does not need to solve equation, thus avoiding complex computation of root opening and the like and improving the computing speed.

Description

A kind of method of measurement of channel matrix rank, device and terminal

Technical field

The present invention relates to wireless communication technology field, relate in particular to method of measurement, device and the terminal of the channel matrix rank of a kind of 3GPP of being applied to LTE (LongTerm Evolution) system terminal.

Background technology

For improving the message transmission rate in the wireless communication system; In the wireless communication system-LTE system in future, introduced MIMO (Multiple-Input Multiple-Output; Multiple-input and multiple-output) technology, MIMO technology are that the uncorrelated characteristic according to transmission channel between a plurality of antennas improves transmission rate.This just means that the MIMO technology can transmit a plurality of parallel data flow simultaneously in same frequency; Irrelevance through channel matrix between the parallel data stream is distinguished; Therefore in the mimo system simultaneously the data flow number of parallel transmission depend on the number of the vector that the channel matrix neutral line is irrelevant, also promptly depend on the size of the order of channel matrix.

In the MIMO technology, send signal, the available following formula of relation that receives signal and channel matrix is simply represented:

Y _R×1＝H _R×TX _T×1

In the formula, R representes the reception antenna number, and T representes the transmitting antenna number.H is a channel matrix, the signal vector of X for sending, the signal vector of Y for receiving.

In wireless channel; Channel situation is a real-time change; Therefore under the situation of using the MIMO technical transmission, the base station must be given with the feedback information of channel matrix rank constantly in the terminal, and the base station just can be according to the parallel number of sending data flow of situation decision of current channel matrix rank like this.

Present radio communication system terminal generally adopts single transmit antenna and single reception antenna to carry out the transmission of data, and this transmitting-receiving mode can only be transmitted a data flow at most.But for the terminal of adopting many antennas, how accurately to transmit more data stream to the terminal becomes problem demanding prompt solution.

Summary of the invention

Determine number accurately in order to make the base station to the data flow of terminal transmission; The invention provides a kind of method of measurement of channel matrix rank; Be applied to radio communication system terminal; The antenna configurations of said wireless communication system is: receive or two four receipts or four two receipts, may further comprise the steps for two two:

Generate Hermitian matrix A according to channel matrix H;

Utilize said Hermitian matrix A structure to have the equation group of the characteristic value of nonnegative real number;

Judge the order of said channel matrix H according to the coefficient of said equation group, so that the number of the data flow of sending to the terminal is decided in the base station according to said order.

Said step according to channel matrix H generation Hermitian matrix A is specially:

Calculate the less Hermitian matrix A of dimension according to said channel matrix H,

That is, whether judge R, if R＜T, then A less than T _{2 * 2}=H _{R * T}* H _{R * T} ^H

Otherwise, A _{2 * 2}=H _{R * T} ^H* H _{R * T}

Wherein,

R is the reception antenna number;

T is the transmitting antenna number.

The said step of utilizing said Hermitian matrix A to construct the equation group of the characteristic value with nonnegative real number is specially:

Utilize | λ I-A|=0, construct a quadratic equation with one unknown, wherein I is 2 * 2 unit matrix, supposes A _{2 * 2}For:

$A_{2\×2}=\left[\begin{array}{cc}{r}_{11}& r_{12}\\ r_{21}& r_{22}\end{array}\right]$

Then | λ I-A|=0 is specially:

$\left|\begin{array}{cc}{r}_{11}-\mathrm{\λ}& r_{12}\\ r_{21}& r_{22}-\mathrm{\λ}\end{array}\right|=0,$

Be that said quadratic equation with one unknown is λ ²+ b λ+c=0,

Wherein, b=-(r ₁₁+ r ₂₂), c=(r ₁₁r ₂₂-r ₁₂r ₂₁).

Said coefficient according to said equation group judges that the step of the order of said channel matrix H is specially:

Judge

Whether greater than Δ, if $\left|\frac{b^2}{c}\right|>\mathrm{\Δ},$ Then the order of matrix A is 1, and promptly the order of channel matrix H is 1;

Otherwise the order of matrix A is 2, and promptly the order of channel matrix H is 2;

Wherein, Δ is the conditional number thresholding of said matrix A.

The present invention also provides a kind of measurement mechanism of channel matrix rank, is applied to radio communication system terminal, and the antenna configurations of said wireless communication system is: receive or two four receipts or four two receipts for two two, said measurement mechanism comprises:

The Hermitian matrix generation module is used for generating Hermitian matrix A according to channel matrix H;

The equation generation module is used to utilize said Hermitian matrix A to generate the equation group of the characteristic value with nonnegative real number;

The rank of matrix judge module is used for the order according to the coefficient judgement channel matrix H of said equation group, so that the number of the data flow of sending to said terminal is decided in the base station according to said order.

The present invention also provides a kind of radio communication system terminal; Comprise: the measurement mechanism of channel matrix rank; Said measurement mechanism is applied to radio communication system terminal, and the antenna configurations of said wireless communication system is: receive or two four receipts or four two receipts for two two, said measurement mechanism comprises:

The Hermitian matrix generation module is used for generating Hermitian matrix A according to channel matrix H;

The equation generation module is used to utilize said Hermitian matrix A to generate the equation group of the characteristic value with nonnegative real number;

The rank of matrix judge module is used for the order according to the coefficient judgement channel matrix H of said equation group, so that the number of the data flow of sending to said terminal is decided in the base station according to said order.

Compared with prior art, the present invention has following beneficial effect:

The present invention utilizes channel matrix to construct the matrix that a characteristic value is nonnegative real number, obtains equation group according to matrix, and obtains this rank of matrix with the coefficient of equation group.The present invention be applicable to have two two receipts, four two receive and terminal of wireless communication system that two four are received antennas, can record two rank ranks of matrix.Reaching under the situation of identical performance, method of measurement operand of the present invention is very little, need not solve an equation, and has avoided opening complex calculation such as radical sign, has improved arithmetic speed.

Description of drawings

Fig. 1 is the method for measurement flow chart of channel matrix rank of the present invention;

Fig. 2 is the measurement mechanism sketch map of channel matrix rank of the present invention.

Embodiment

Method of the present invention be applicable to have two two receipts, four two receive and terminal of wireless communication system that two four are received three kinds of configurations.

The present invention is according to matrix H and A=H ^HH has identical order, and the characteristic value of A all is non-this principle of negative real number, can the calculating of channel matrix H order be converted into the calculating to the order of matrix A.The process of the order of compute matrix A is the quadratic equation with one unknown that utilizes a real number of matrix A structure | λ I-A|=0, the order of utilizing the coefficient of this quadratic equation with one unknown to come judgment matrix H then.

Do further explain below in conjunction with the accompanying drawing specific embodiments of the invention.

With reference to figure 1, Fig. 1 is the method for measurement flow chart of channel matrix rank of the present invention, comprises step:

Step 1 generates Hermitian matrix A according to channel matrix H;

Step 2 utilizes the Hermitian matrix structure to have the equation group of the characteristic value of nonnegative real number;

Step 3 is judged the order of channel matrix H according to the coefficient of equation group, so that the number of the data flow of sending to the terminal is decided in the base station according to said order.

Below in the LTE system, two two receipts of MIMO dual-mode antenna configuration, four two are received, three kinds of situation of two four receipts, and the implementation process of above-mentioned steps is elaborated.The m here sends out the n receipts and is meant: m is the transmitting antenna number of base station side, and n is meant the reception antenna number of end side.

Step 1:

Suppose channel matrix $H_{R\&times;T}=\left[\begin{array}{ccc}{h}_{11}& \&CenterDot;\&CenterDot;\&CenterDot;& h_{1T}\\ \&CenterDot;\&CenterDot;\&CenterDot;& \&CenterDot;\&CenterDot;\&CenterDot;& \&CenterDot;\&CenterDot;\&CenterDot;\\ {\mathrm{<figure-callout\; id="1"\; label="h\; R"\; filenames="H2009100898911E00011.png"\; state="\{\{state\}\}">h</figure-callout>}}_R& \&CenterDot;\&CenterDot;\&CenterDot;& h_{\mathrm{RT}}\end{array}\right],$ Calculate the less Hermitian matrix A of dimension according to this channel matrix H, concrete steps are following:

Whether judge R less than T, if R＜T, then A _{2 * 2}=H _{R * T}* H _{R * T} ^H

Otherwise, A _{2 * 2}=H _{R * T} ^H* H _{R * T}

H _{R * T}* H _{R * T} ^HWith H _{R * T} ^H* H _{R * T}Has identical order.

Here () ^HThe conjugate transpose of representing matrix (), and min (R, T)=2.

If matrix A _{2 * 2}Constitute by following element:

$A_{2\&times;2}=\left[\begin{array}{cc}{r}_{11}& r_{12}\\ r_{21}& r_{22}\end{array}\right]$

Step 2:

According to | λ I-A|=0 constructs a quadratic equation with one unknown group, and wherein I is 2 * 2 unit matrix, and this equation group is specially:

$\left|\begin{array}{cc}{r}_{11}-\mathrm{\&lambda;}& r_{12}\\ r_{21}& r_{22}-\mathrm{\&lambda;}\end{array}\right|=0,$ Be λ ²+ b λ+c=0,

B=-(r wherein ₁₁+ r ₂₂), c=(r ₁₁r ₂₂-r ₁₂r ₂₁).

Step 3: when carrying out the judgement of order; Because signal receives noise effect inevitably; 0 situation so certain (several) individual characteristic value can not appear is just, therefore, and for the order of more effective judgment matrix H; Actual often service condition number carries out the judgement of order, and concrete determining step is as follows:

Judge

Whether greater than Δ, if $\left|\frac{b^2}{c}\right|>\mathrm{\&Delta;},$ Then the order of matrix A is 1, and promptly the order of channel matrix H is 1,

Otherwise the order of matrix A is 2, and promptly the order of channel matrix H is 2.

Here Δ is the conditional number thresholding of A matrix.The high more representing matrix of conditional number is more unstable, just approaches singular matrix more, the matrix for 2 * 2, and conditional number is high more, just means that also its order approaches 1 more.Therefore this thresholding should be a bigger value.

The present invention also provides a kind of measurement mechanism of channel matrix rank, and with reference to figure 2, Fig. 2 is the measurement mechanism sketch map of channel matrix rank of the present invention, comprising:

The Hermitian matrix generation module is used for generating Hermitian matrix A according to channel matrix H;

The equation generation module is used to utilize Hermitian matrix A structure to have the equation group of the characteristic value of nonnegative real number;

The rank of matrix judge module is used for the order according to the coefficient judgement channel matrix H of equation group, so that the number of the data flow of sending to the terminal is decided in the base station according to said order.

The concrete implementation method of each module corresponds respectively to step 1～3 in the preceding text, repeats no more here.

To sum up, the present invention utilizes channel matrix to generate to have the new matrix of the characteristic root of nonnegative real number, and according to the new matrix construction that generates quadratic equation with one unknown, confirm the order of channel matrix then according to the coefficient of equation.Because the present invention only needs equationof structure, and need not solve an equation, therefore, operand of the present invention is very little, has avoided opening complex calculation such as radical sign, only need take advantage of several times to add to obtain rank of matrix, has improved the speed and the accuracy of computing.The present invention is applicable to have four two receipts, two four receipts, and two two terminal of wireless communication system of receiving three kinds of configurations, the scope of application is more extensive.

The above only is a preferred implementation of the present invention; Should be pointed out that for those skilled in the art, under the prerequisite that does not break away from the principle of the invention; Can also make some improvement and retouching, these improvement and retouching also should be regarded as protection scope of the present invention.

Claims (3)

1. the method for measurement of a channel matrix rank is applied to radio communication system terminal, and the antenna configurations of said wireless communication system is: receive or two four receipts or four two receipts for two two, it is characterized in that, may further comprise the steps:

Generate Hermitian matrix A according to channel matrix H;

Utilize said Hermitian matrix A structure to have the equation group of the characteristic value of nonnegative real number;

Judge the order of said channel matrix H according to the coefficient of said equation group, so that the number of the data flow of sending to the terminal is decided in the base station according to said order;

Said step according to channel matrix H generation Hermitian matrix A is specially:

Calculate the less Hermitian matrix A of dimension according to said channel matrix H,

That is, whether judge R, if R＜T, then A less than T _{2 * 2}=H _{R * T}* H _{R * T} ^H

Otherwise, A _{2 * 2}=H _{R * T} ^H* H _{R * T}

Wherein,

R is the reception antenna number;

T is the transmitting antenna number;

The said step of utilizing said Hermitian matrix A to construct the equation group of the characteristic value with nonnegative real number is specially:

Utilize | λ I-A|=0, construct a quadratic equation with one unknown, wherein I is 2 * 2 unit matrix, supposes A _{2 * 2}For:

$A_{2\&times;2}=\left[\begin{array}{cc}{r}_{11}& r_{12}\\ r_{21}& r_{22}\end{array}\right]$

Then | λ I-A|=0 is specially:

$\left|\begin{array}{cc}{r}_{11}-\mathrm{\&lambda;}& r_{12}\\ r_{21}& r_{22}-\mathrm{\&lambda;}\end{array}\right|=0,$

Be that said quadratic equation with one unknown is λ ²+ b λ+c=0,

Wherein, b=-(r ₁₁+ r ₂₂), c=(r ₁₁r ₂₂-r ₁₂r ₂₁);

Said coefficient according to said equation group judges that the step of the order of said channel matrix H is specially:

Whether judge greater than Δ; if then the order of matrix A is 1, promptly the order of channel matrix H is 1;

Otherwise the order of matrix A is 2, and promptly the order of channel matrix H is 2;

Wherein, Δ is the conditional number thresholding of said matrix A.

2. the measurement mechanism of a channel matrix rank is applied to radio communication system terminal, and the antenna configurations of said wireless communication system is: receive or two four receipts or four two receipts, it is characterized in that said measurement mechanism comprises for two two:

The Hermitian matrix generation module is used for generating Hermitian matrix A according to channel matrix H;

The equation generation module is used to utilize said Hermitian matrix A to generate the equation group of the characteristic value with nonnegative real number;

The rank of matrix judge module is used for the order according to the coefficient judgement channel matrix H of said equation group, so that the number of the data flow of sending to said terminal is decided in the base station according to said order;

Said Hermitian matrix generation module specifically is used for:

Calculate the less Hermitian matrix A of dimension according to said channel matrix H,

That is, whether judge R, if R＜T, then A less than T _{2 * 2}=H _{R * T}* H _{R * T} ^H

Otherwise, A _{2 * 2}=H _{R * T} ^H* H _{T * T}

Wherein,

R is the reception antenna number;

T is the transmitting antenna number;

Said equation generation module has and is used for:

Utilize | λ I-A|=0, construct a quadratic equation with one unknown, wherein I is 2 * 2 unit matrix, supposes A _{2 * 2}For:

$A_{2\&times;2}=\left[\begin{array}{cc}{r}_{11}& r_{12}\\ r_{21}& r_{22}\end{array}\right]$

Then | λ I-A|=0 is specially:

$\left|\begin{array}{cc}{r}_{11}-\mathrm{\&lambda;}& r_{12}\\ r_{21}& r_{22}-\mathrm{\&lambda;}\end{array}\right|=0,$

Be that said quadratic equation with one unknown is λ ²+ b λ+c=0,

Wherein, b=-(r ₁₁+ r ₂₂), c=(r ₁₁r ₂₂-r ₁₂r ₂₁);

Said rank of matrix judge module specifically is used for:

Whether judge

greater than Δ; if then the order of matrix A is 1, promptly the order of channel matrix H is 1;

Otherwise the order of matrix A is 2, and promptly the order of channel matrix H is 2;

Wherein, Δ is the conditional number thresholding of said matrix A.

3. radio communication system terminal; Comprise: the measurement mechanism of channel matrix rank is characterized in that said measurement mechanism is applied to radio communication system terminal; The antenna configurations of said wireless communication system is: receive or two four receipts or four two receipts for two two, said measurement mechanism comprises:

The Hermitian matrix generation module is used for generating Hermitian matrix A according to channel matrix H;

The equation generation module is used to utilize said Hermitian matrix A to generate the equation group of the characteristic value with nonnegative real number;

The rank of matrix judge module is used for the order according to the coefficient judgement channel matrix H of said equation group, so that the number of the data flow of sending to said terminal is decided in the base station according to said order;

Said Hermitian matrix generation module specifically is used for:

Calculate the less Hermitian matrix A of dimension according to said channel matrix H,

That is, whether judge R, if R＜T, then A less than T _{2 * 2}=H _{R * T}* H _{R * T} ^H

Otherwise, A _{2 * 2}=H _{R * T} ^H* H _{R * T}

Wherein,

R is the reception antenna number;

T is the transmitting antenna number;

Said equation generation module has and is used for:

Utilize | λ I-A|=0, construct a quadratic equation with one unknown, wherein I is 2 * 2 unit matrix, supposes A _{2 * 2}For:

$A_{2\&times;2}=\left[\begin{array}{cc}{r}_{11}& r_{12}\\ r_{21}& r_{22}\end{array}\right]$

Then | λ I-A|=0 is specially:

$\left|\begin{array}{cc}{r}_{11}-\mathrm{\&lambda;}& r_{12}\\ r_{21}& r_{22}-\mathrm{\&lambda;}\end{array}\right|=0,$

Be that said quadratic equation with one unknown is λ ²+ b λ+c=0,

Wherein, b=-(r ₁₁+ r ₂₂), c=(r ₁₁r ₂₂-r ₁₂r ₂₁);

Said rank of matrix judge module specifically is used for:

Whether judge greater than Δ; if

then the order of matrix A is 1, promptly the order of channel matrix H is 1;

Otherwise the order of matrix A is 2, and promptly the order of channel matrix H is 2;

Wherein, Δ is the conditional number thresholding of said matrix A.

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