CN101958852B - Method and device for estimating CINR of MLD receiver in MIMO system - Google Patents

Method and device for estimating CINR of MLD receiver in MIMO system Download PDF

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CN101958852B
CN101958852B CN2009101089168A CN200910108916A CN101958852B CN 101958852 B CN101958852 B CN 101958852B CN 2009101089168 A CN2009101089168 A CN 2009101089168A CN 200910108916 A CN200910108916 A CN 200910108916A CN 101958852 B CN101958852 B CN 101958852B
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杨芸霞
杨祁
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ZTE Corp
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Abstract

The invention discloses a method and a device for estimating carrier to interference noise ratio (CINR) of a maximum likelihood detector (MLD) receiver in a multiple input multiple output (MIMO) system. The method comprises the following steps of: for each transmitting signal, acquiring wireless channel response of the transmitting signal to a plurality of receiving antennas and covariance of noise and interference, wherein the interference covariance is the sum of wireless channel united response of other transmitting signals; and for each transmitting signal, calculating the CINR of the transmitting signal according to the wireless channel response and the covariance of noise and interference. The device comprises a channel response acquisition module, a covariance acquisition module and a CINR calculation module for calculating the CINR of the transmitting signal according to the wireless channel response and the covariance of noise and interference for each transmitting signal. The method and the device implement CINR estimation of the MLD receiver, and also can estimate multiple users.

Description

CINR method of estimation and the device of MLD receiver in a kind of mimo system
Technical field
The present invention relates to the digital communication field, specifically, relate to a kind of multiple-input, multiple-output (MultipleInput Multiple Output, MIMO) Maximum Likelihood Detection (Maximum LikelihoodDetector in the system, MLD) the carrier-in-interference noise ratio of receiver (Carrier to Interference NoiseRatio, method of estimation CINR) and device.
Background technology
(Carrier to Interference Noise Ratio CINR) is the ratio of the power of signal power and interference plus noise to the carrier-in-interference noise ratio, and it is the important parameter of reflection channel quality.The estimation of CINR has very important meaning, and system can adjust coded system and transmitting power etc. according to CINR.
As a kind of multi-antenna technology, (Multiple Input Multiple Output, MIMO) system principal character is exactly thinking that in traditional sense harmful signal multipath transmisstion changes favorable factor in multiple-input, multiple-output.It taken full advantage of channel in time random fading and multidiameter expand and improve transmission speed exponentially, do not need to increase simultaneously the bandwidth (just increasing the complexity of software and hardware) of system.Because mimo system remains the signal on the many antennas of Combinatorial Optimization, so maintain the advantage of smart antenna, also has bigger spatial degrees of freedom simultaneously.Owing to use array antenna to have the array gain at transmitting terminal or receiving terminal, the MIMO technology is owing to using many antennas to have associating send-receive diversity gain simultaneously at transmitting terminal and receiving terminal as smart antenna.
In mimo system, data are launched with matrix form, and this matrix emission form can be brought other advantage.Under certain condition, (M, N) bar independent symbols (data) stream can transmission (the matrix channel here is forming with M root reception antenna by the N transmit antennas) in matrix channel simultaneously for min.By linear transformation, matrix channel can be transformed into the form (being the matrix channel form of decorrelation) of several intrinsic mode (eigenmodes).(SpatialMultiplexing SM) just is to use the mimo system of this advantage to space multiplexing technique.
Because these advantages of mimo system, at 3G, in the Wimax technology such as (WorldwideInteroperability for Microwave Access, micro-wave access global inter communications), MIMO is widely used.But for the SM receiving terminal, the merging data after need be multiplexing to solution space carries out CINR and estimates that according to this CINR, MAC (Medium Access Control Layer, media access control layer) will adjust power control and modulation coding mode.
The comprehensive present multiplexing detection algorithm of various solution spaces, Maximum Likelihood Detection (MaximumLikelihood Detector, MLD) preferable performance is arranged, but because MLD is a kind of nonlinear algorithm, that it obtains after MIMO-decoder is the LLR (log-likelihood ratio) of bit stream, and FEC-decoder uses the LLR of bit stream to decipher the bit information that obtains transmitting terminal.Because the LLR of bit stream is the log-likelihood ratio for channel decoding, does not have the power features of signal, thereby can't calculate CINR.
Therefore, in conjunction with the characteristics of MLD solution space multiplex technique, need obtain the method for the CINR of the signal of a kind of MLD solution space after multiplexing.
Summary of the invention
Because above-mentioned background, the invention provides a kind of method of estimation and device of carrier-in-interference noise ratio, the signal after can be multiplexing to the MLD solution space carries out CINR and estimates.
In order to solve the problems of the technologies described above, the present invention has adopted following technical scheme:
The carrier-in-interference noise ratio method of estimation of Maximum Likelihood Detection receiver transmits for each in a kind of mimo systems, comprises following steps:
A, obtain this and transmit signals to the radio channel response of many reception antennas and the covariance of noise-plus-interference; Wherein, disturb covariance to be the autocorrelative summation of other radio channel response that transmit;
B, the radio channel response that obtains according to steps A and the covariance of noise-plus-interference are calculated the carrier-in-interference noise ratio that this transmits, i.e. CINR.
In a kind of embodiment of said method, described each carrier-in-interference noise ratio that transmits adopts following formula to calculate: CINR n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 h n , Wherein, CINR nBe n carrier-in-interference noise ratio that transmits, h nBe n radio channel response that transmits signals to many reception antennas, h n HBe n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure G2009101089168D00031
Be the autocorrelative summation of other radio channel response that transmit.
In a kind of embodiment of said method, described formula CINR n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 h n Merge by high specific
Figure G2009101089168D00033
Obtain, each described high specific that transmits merges
Figure G2009101089168D00034
Covariance and reception merging data according to this radio channel response that transmits, noise-plus-interference calculate, wherein, the reception merging data of described many signals is the summation of the receiver noise of each reception signal that transmits and many reception antennas.
In a kind of embodiment of said method, described high specific merges
Figure G2009101089168D00035
Adopt following formula to calculate: s ~ n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 r , r = Σ i = 1 n h i s i + n , h n HBe n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure G2009101089168D00038
Be the autocorrelative summation of other radio channel response that transmit, r is the reception merging data,
Figure G2009101089168D00039
Be each reception signal sum that transmits, n is the receiver noise of many reception antennas.
The invention also discloses the carrier-in-interference noise ratio estimation unit of Maximum Likelihood Detection receiver in a kind of mimo systems, comprise:
The channel response acquisition module is used for each is transmitted, and obtains the radio channel response that this transmits signals to many reception antennas;
The covariance acquisition module is used for each is transmitted, and obtains the covariance of this noise-plus-interference that transmits; Wherein, disturb covariance to be the autocorrelative summation of other radio channel response that transmit;
Carrier-in-interference noise ratio computing module is used for each is transmitted, and according to the covariance of its radio channel response and noise-plus-interference, calculates the carrier-in-interference noise ratio that this transmits.
The present invention is with least mean-square error (Minimum Mean Squared Error, MMSE) CINR of receiver estimates to simulate the CINR estimation that approaches the MLD receiver, and in approaching calculating, for a plurality of users in the mimo systems, at transmitting of targeted customer, transmitting of other users is considered as this targeted customer's interference, and contribute in this targeted customer's the interference covariance, radio channel response by the targeted customer, the covariance of noise-plus-interference, calculate targeted customer's CINR, thereby for the MLD receiver, can estimate the CINR of different user.
Description of drawings
The description that Fig. 1 is exemplary a kind of typical mimo system framework;
The description that Fig. 2 is exemplary CINR of the present invention estimate flow process;
The description that Fig. 3 is exemplary the structure of CINR estimation unit of the present invention.
Embodiment
Below in conjunction with accompanying drawing the specific embodiment of the present invention is elaborated.
The present invention relates generally to the CINR method of estimation based on the signal of the SM technology reception of MIMO, and this CINR method can realize that the CINR of MLD receiver estimates, can estimate a plurality of different users simultaneously.
In the SM of MIMO system, can equivalence a plurality of user's data streams are regarded as mutual interference, the process equivalence of separating SM is the multi-user data detection.Use H-BLAST[BLAST with SM, Bell Labs Layered Space-Time, demixing time space, comprising H-BLAST (horizontal Space Time Coding), V-BLAST (vertical Space Time Coding), D-BLAST (diagonal angle Space Time Coding)] a plurality of data flow of coding are example, need estimate the CINR of each comfortable solution space of each data flow after multiplexing.
The solution space multiplex receiver can be divided into linear receiver and non-linear receiver.As described above, because MLD is non-linear receiver, the LLR of its bit stream is a mathematics statistic, does not have the power features of signal, thereby can't calculate the CINR of the multiplexing back of each road solution space data flow.Linear receiver then can calculate the CINR of each circuit-switched data stream of the multiplexing back of linear receiver solution space by the channel response of signal, in view of this, the present invention has conceived the account form of " changing directly for indirect ", by investigating relatively, determined least mean-square error (Minimum Mean Squared Error, MMSE) the solution space multiplexing performance of receiver and MLD receiver are the most approaching, thereby adopt the mode of MMSE receiver analog computation.
The MMSE receiver is a kind of linear receiver, and what obtain after its solution space is multiplexing is modulation symbol, carries the power features of signal, thereby can be used for calculating CINR.The CINR of MMSE receiver better calculates, and can approach the CINR of the signal of MLD solution space after multiplexing preferably.
As shown in Figure 1, among the figure exemplary description typical mimo system framework, this paper repeats no more Elementary Function and the working method thereof that wherein is well known to those skilled in the art, and only estimates that at CINR relevant portion describes.
As shown in Figure 2, the description of this illustrated example CINR of the present invention estimate flow process, mainly comprise:
S01, transmit for each, obtain this and transmit signals to the radio channel response of many reception antennas and the covariance of noise-plus-interference; Wherein, disturb covariance to be the autocorrelative summation of other radio channel response that transmit;
S02, transmit for each, according to the covariance of its radio channel response and noise-plus-interference, calculate the carrier-in-interference noise ratio that this transmits.
Usually mimo system comprises many transmit antennas, independent data stream of every transmit antennas emission, the data flow of each transmit antennas can adopt different modulation coding modes or belong to different users, for convenience of description, in this article, transmitted signal streams on one transmit antennas is equivalent to a user, and user hereinafter namely refers to the transmitted signal streams on the transmit antennas; MIMO also comprises many reception antennas, and every reception antenna all receives the wireless signal of a plurality of data flow after spatial coherence merges on many transmit antennas, obtains transmitted signal streams on each road transmitting antenna by the solution space multiplexing algorithm at receiving terminal.
Being without loss of generality, at first is that example describes with two users.Two users' the data flow that transmits all adopts the H-BLAST coded system:
r 1 r 2 · · · r N RX = h 11 h 12 h 21 h 22 · · · · · · h N RX 1 h N RX 2 s 1 s 2 + n 1 n 2 · · · n N RX - - - ( 2.1 )
Simple for following discussion, might as well make:
r = r 1 r 2 · · · r N RX , h 1 = h 11 h 21 · · · h N RX 1 , h 2 = h 12 h 22 · · · h N RX 2 , n = n 1 n 2 · · · n N RX - - - ( 2.2 )
Wherein, r is N Rx* 1 reception column vector, N RxBe the reception antenna number, s 1, s 2Two data flow that represent H-BLAST respectively transmit h 1The expression s emission signal s 1To N RxThe radio channel response of root reception antenna, h 2The expression s emission signal s 2To N RxThe radio channel response of root reception antenna, n represents N RxReceiver noise on the root reception antenna, under above-mentioned mark, formula (2.1) becomes:
r=h 1s 1+h 2s 2+n (2.3)
Can see that r is s emission signal s 1Reception signal h 1s 1, s emission signal s 2Reception signal h 2s 2, and the summation of receiver noise n, at this, r is defined as the reception merging data.
For user MS1:
r=h 1s 1+n′
n′=h 2s 2+n (A1)
Also namely, in the present invention, for a certain user, other users' reception signal is considered as this user's interference.Thus, the covariance matrix of noise+interference of calculating user MS1 is:
Σ 1 = D + h 2 h 2 H - - - ( A 2 )
Figure G2009101089168D00062
Also namely, the covariance of noise+interference of user MS1 comprises noise covariance D and disturbs covariance h 2h 2 H, at this, with h 2h 2 HBe defined as s emission signal s 2The radio channel response auto-correlation.
Under above-mentioned mark, use to disturb suppress the back high specific merge (Interference RestrainCombine, IRC) receiver, the high specific that obtains MS1 merge (Maximal Ratio Combine MRC) is:
s ~ 1 = h 1 H Σ 1 - 1 r = h 1 H ( σ 2 I + h 2 h 2 H ) - 1 r - - - ( A 3 )
Here, ∑ 1 -1R is equivalent to n '=h 2s 2+ n albefaction is white noise, just can do the high specific merging to each antenna afterwards and obtain
Figure G2009101089168D00064
Also namely, the high specific of MS1 merges
Figure G2009101089168D00065
S emission signal s for MS1 1To N RxThe transposed matrix h of the radio channel response of root reception antenna 1 H, MS1 the inverse matrix (σ of covariance matrix of noise+interference 2I+h 2h 2 H) -1, and the product that receives merging data r.
In like manner, obtain the high specific merging of user MS2:
Σ 2 = σ 2 I + h 1 h 1 H - - - ( A 4 )
s ~ 2 = h 2 H Σ 2 - 1 r = h 2 H ( σ 2 I + h 1 h 1 H ) - 1 r - - - ( A 5 )
Accordingly, by CINR=P s/ N s, wherein, P sAnd N sBe respectively high specific combined signal power and the ratio of noise power, the CINR that can obtain two MS same sub-carrier is as follows:
CINR 1 = h 1 H ( σ 2 I + h 2 h 2 H ) - 1 h 1 - - - ( A 6 )
CINR 2 = h 2 H ( σ 2 I + h 1 h 1 H ) - 1 h 2 - - - ( A 7 )
Formula (A2) and (A4) in the matrix ∑ 1And ∑ 2All be N RX* N RXMatrix, all be 4 * 4 matrix such as these two matrixes under the situation of four antennas, the inversion operation more complicated of this matrix, but utilize formula (A2) and structure (A4) can simplify the computing of matrix inversion.According to matrix inversion lemma (Matrix Inverse Lemma)
( A + uv H ) - 1 = A - 1 - A - 1 uv H A - 1 1 + v H A - 1 u - - - ( A 8 )
Can obtain:
( σ 2 I + h k h k H ) - 1 = ( σ 2 I ) - 1 - ( σ 2 I ) - 1 h k h k H ( σ 2 I ) - 1 1 + h k H ( σ 2 I ) - 1 h k ; k = 1,2
( σ 2 I + h k h k H ) - 1 = D - 1 - D - 1 h k h k H D - 1 1 + Σ n = 1 N RX h nk * h nk σ n 2 = D - 1 - ( D - 1 h k ) ( h m H D - 1 ) 1 + Σ n = 1 N RX h nk * h nk σ n 2 ; k = 1,2 - - - ( A 10 )
Here D -1h kh k HD -1Use D -1Be the particularity of diagonal matrix and vector operation, can be reduced to:
D - 1 h k h k H D - 1 = ( D - 1 h k ) ( h k H D - 1 )
Wherein D - 1 h k = 1 σ 1 2 h 1 k 1 σ 2 2 h 2 k · · · 1 σ N RX 2 h N RX k , h k H D - 1 = 1 σ 1 2 h 1 k * 1 σ 2 2 h 2 k * · · · 1 σ N RX 2 h N RX k *
Can obtain:
CINR 1 = h 1 H ( D - 1 - ( D - 1 h 2 ) ( h 2 H D - 1 ) 1 + Σ n = 1 N RX h n 2 * h n 2 σ n 2 ) h 1
CINR 2 = h 2 H ( D - 1 - ( D - 1 h 1 ) ( h 1 H D - 1 ) 1 + Σ n = 1 N RX h n 1 * h n 1 σ n 2 ) h 2 - - - ( A 11 )
Here σ n 2(n=1...N RX) be the power of making an uproar the end of n root reception antenna.
Above-mentioned stream with two user's data estimated to be illustrated to CINR of the present invention, below it is generalized to n signal stream:
Order:
r = r 1 r 2 · · · r N RX , h 1 = h 11 h 21 · · · h N RX 1 , h 2 = h 12 h 22 · · · h N RX 2 , · · · , h n = h 1 n h 2 n · · · h N RX n , · · · , h N TX = h 1 N TX h 2 N TX · · · h N RX N TX , n = n 1 n 2 · · · n N RX
R, h 1, h 2, h n,
Figure G2009101089168D000810
The meaning of n is the same, then
r = h 1 s 1 + h 2 s 2 + · · · + h n s n + · · · + h N TX s N TX + n - - - ( 2.5 )
Transmit for n:
r=h ns n+n′
n ′ = Σ i = 1 i ≠ n N TX h i s i + n
The covariance matrix of interference plus noise is:
Σ n = D + Σ i = 1 i ≠ n N TX h i h i H
Adopt the derivation identical with aforementioned two users, the CINR value that can obtain the nth user is:
CINR n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 h n .
The description CINR estimation unit of the present invention that Fig. 3 is exemplary, it mainly comprises:
The channel response acquisition module is used for each is transmitted, and obtains the radio channel response that this transmits signals to many reception antennas;
The covariance acquisition module is used for each is transmitted, and obtains the covariance of this noise-plus-interference that transmits; Wherein, disturb covariance to be the autocorrelative summation of other radio channel response that transmit;
Carrier-in-interference noise ratio computing module is used for each is transmitted, and according to the covariance of its radio channel response and noise-plus-interference, calculates the carrier-in-interference noise ratio that this transmits.
Similar aforementioned, carrier-in-interference noise ratio computing module is to adopt following formula to calculate each carrier-in-interference noise ratio that transmits: CINR n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 h n , Wherein, CINR nBe n carrier-in-interference noise ratio that transmits, h nBe n radio channel response that transmits signals to many reception antennas, h n HBe n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure G2009101089168D00094
Be the autocorrelative summation of other radio channel response that transmit.
Carrier-in-interference noise ratio computing module comprises for calculating the high specific joint account unit that high specific merges, formula CINR n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 h n The high specific that calculates according to high specific joint account unit merges acquisition, and the high specific merge cells adopts following formula to calculate the high specific merging: s ~ n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 r , r = Σ i = 1 n h i s i + n , Wherein,
Figure G2009101089168D00098
Be that n high specific that transmits merges h n HBe n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure G2009101089168D00099
Be the autocorrelative summation of other radio channel response that transmit, r is the reception merging data,
Figure G2009101089168D00101
Be each reception signal sum that transmits, n is the receiver noise of many reception antennas.
The present invention adopts the mode of MMSE receiver analog computation, thereby the CINR that can carry out the MLD receiver estimates, only need the channel estimating unit in Fig. 1 carry out just can finishing the CINR estimation by the CINR unit after the channel estimating, and do not need MLD receiver flow process is changed or carry out some special processings.And the present invention can carry out CINR to a plurality of different users and estimate.In CINR estimates, adopting high specific to merge calculates, nominal more accurately goes out other data flow to the influence of current data stream, better approach the CINR estimated value of the multiplexing back of MLD receiver solution space data, have higher CINR estimated accuracy, thereby be conducive to utilize the CINR estimated value to carry out relevant treatment such as power control.
Above content be in conjunction with concrete preferred implementation to further describing that the present invention does, but this example of just lifting for ease of understanding should not think that concrete enforcement of the present invention is confined to these explanations.For the general technical staff of the technical field of the invention, without departing from the inventive concept of the premise, can make various possible being equal to and change or replacement, these changes or replacement all should belong to protection scope of the present invention.

Claims (6)

1. the carrier-in-interference noise ratio method of estimation of Maximum Likelihood Detection receiver in the mimo systems is characterized in that, transmits for each, comprises following steps:
A, obtain this and transmit signals to the radio channel response of many reception antennas and the covariance of noise-plus-interference; Wherein, disturb covariance to be the autocorrelative summation of other radio channel response that transmit;
B, the radio channel response that obtains according to steps A and the covariance of noise-plus-interference are calculated the carrier-in-interference noise ratio that this transmits, i.e. CINR;
Described each carrier-in-interference noise ratio that transmits adopts following formula to calculate:
Figure FDA00003326273600011
Wherein, CINR nBe n carrier-in-interference noise ratio that transmits, h nBe n radio channel response that transmits signals to many reception antennas,
Figure FDA00003326273600019
Be n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure FDA00003326273600012
Be the autocorrelative summation of other radio channel response that transmit, N TXTotal number for transmitted signal streams.
2. the method for claim 1 is characterized in that, described formula
Figure FDA00003326273600013
Merge by high specific
Figure FDA000033262736000110
Obtain, each described high specific that transmits merges
Figure FDA00003326273600014
Covariance and reception merging data according to this radio channel response that transmits, noise-plus-interference calculate, and wherein, described reception merging data is the summation of the receiver noise of each reception signal that transmits and many reception antennas.
3. method as claimed in claim 2 is characterized in that, described high specific merges
Figure FDA00003326273600015
Adopt following formula to calculate: s ~ n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 r , r = Σ i = 1 n h i s i + n ,
Figure FDA00003326273600017
Be n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure FDA00003326273600018
Be the autocorrelative summation of other radio channel response that transmit, r is for receiving merging data; At formula
Figure FDA00003326273600021
In,
Figure FDA00003326273600022
Be each reception signal sum that transmits, the n on formula right side is the receiver noise of many reception antennas.
4. the carrier-in-interference noise ratio estimation unit of Maximum Likelihood Detection receiver in the mimo systems is characterized in that, comprises:
The channel response acquisition module is used for each is transmitted, and obtains the radio channel response that this transmits signals to many reception antennas;
The covariance acquisition module is used for each is transmitted, and obtains the covariance of this noise-plus-interference that transmits; Wherein, disturb covariance to be the autocorrelative summation of other radio channel response that transmit;
Carrier-in-interference noise ratio computing module is used for each is transmitted, and according to the covariance of its radio channel response and noise-plus-interference, calculates the carrier-in-interference noise ratio that this transmits;
Described carrier-in-interference noise ratio computing module is to adopt following formula to calculate each carrier-in-interference noise ratio that transmits:
Figure FDA00003326273600023
Wherein, CINR nBe n carrier-in-interference noise ratio that transmits, h nBe n radio channel response that transmits signals to many reception antennas,
Figure FDA00003326273600024
Be n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance,
Figure FDA00003326273600025
Be the autocorrelative summation of other radio channel response that transmit, N TXTotal number for transmitted signal streams.
5. device as claimed in claim 4, it is characterized in that, described carrier-in-interference noise ratio computing module comprises high specific joint account unit, be used for calculating the high specific merging according to covariance and the reception merging data of this radio channel response that transmits, noise-plus-interference, merge the described formula of acquisition according to described high specific
Figure FDA00003326273600026
Wherein, described reception merging data is the summation of the receiver noise of each reception signal that transmits and many reception antennas.
6. device as claimed in claim 5 is characterized in that, described high specific joint account unit is to adopt following formula to calculate high specific to merge: s ~ n = h n H ( σ 2 I + Σ i = 1 i ≠ n N TX h i h i H ) - 1 r , r = Σ i = 1 n h i s i + n , Wherein,
Figure FDA00003326273600032
Be that n high specific that transmits merges,
Figure FDA00003326273600033
Be n transposed matrix that transmits signals to the radio channel response of many reception antennas, σ 2I is noise covariance, Be the autocorrelative summation of other radio channel response that transmit, r is for receiving merging data; At formula
Figure FDA00003326273600035
In,
Figure FDA00003326273600036
Be each reception signal sum that transmits, the n on formula right side is the receiver noise of many reception antennas.
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