CN109672487A - A kind of interference adjustments method of robustness self-adapting changeable load filter - Google Patents
A kind of interference adjustments method of robustness self-adapting changeable load filter Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B17/00—Monitoring; Testing
- H04B17/30—Monitoring; Testing of propagation channels
- H04B17/309—Measuring or estimating channel quality parameters
- H04B17/336—Signal-to-interference ratio [SIR] or carrier-to-interference ratio [CIR]
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
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- H04B1/16—Circuits
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
- H04L25/03159—Arrangements for removing intersymbol interference operating in the frequency domain
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Abstract
The invention discloses a kind of interference adjustments methods of robustness self-adapting changeable load filter, and in the case where generating interference when the spreading codes of systems scan to transmission signal mismatch, the characteristic value of each noise composition is obtained using the sampler of the filter;Then different load levels is loaded behind each characteristic value;Increase variable load item in the autocorrelation matrix characteristic value of be intended to signal to realize, the final relevant interference for obtaining a variable load technology adjusts formula, and to handle the deficiency under original spreading codes mismatch to performance boost, above-mentioned interference adjustments formula is as follows:Then pair of horns matrix is added from phase correlation matrix in acquisition, finally obtains weight vector, by weight vector control optimal deviation and Norm Control between the two, select suitable γ value, and bring formula into and guarantee that interference adjustments formula meets the requirements with this.The present invention realizes self-regulation effect when spreading codes mismatch and generate interference.
Description
Technical field
The present invention relates to jamproof technical field is wirelessly communicated, specially a kind of robustness self-adapting changeable load filter
The interference adjustments method of wave device.
Background technique
Since the wireless telecommunication system under zero access be easy to cause be intended to spreading codes to mismatch, so that output efficiency
There is the problem of serious decay and MAI.And in the conventional technology, in the case where no be intended to spreading codes mismatch situation, benefit
With minimum variation (multiple constrained minimum variance, the MCMV) detector of multiple limitation, may achieve very
Good output signal adds jamming incoherent signal ratio (signal-to-interference plus noise ratio, SINR), still
Once when occur is intended to signal mismatch when, especially when input signal noise ratio (signal-to-noise ratio, SNR) increasing
Added-time will be so that be intended to spreading codes be considered as interfering signal and being disappeared at this time with the increase of be intended to spreading codes mismatched degree
The degree removed is consequently increased, and the Signal to Interference plus Noise Ratio (SINR) of output has the situation of slump of disastrous proportions, therefore opens up
Frequency code mismatch is one of an important factor for influence is without news communication system efficiency, due to being in actual transmission channel environment
Can not it is right-on, receiving end receive be intended to using spreading codes will receive other multi-paths and channel attenuation
It influences and has non-matching phenomenon with spreading codes produced by the generation circuit of receiving end signal and then generate non-orthogonal situation,
Therefore when received be intended to user's spreading codes occur non-orthogonal, then between other users and be intended to user
The problem of correlation just will increase, and interfere (MAI) is just opposite to become very serious, thus how to solve wireless telecommunications (such as
MC-CDMA in) the technical issues of performance degradation caused by the deviation (especially spreading codes mismatch) of transmission signal, finally
It realizes and " increases the intensity of be intended to signal, inhibit noise, eliminate the interference in be intended to signal simultaneously, make detector more can be adaptive
Answer " technical effect, it is particularly important.
Therefore many scholars are improved in this respect, such as are exactly existing blind adaptive shown in Fig. 6, Fig. 7
The corresponding detector of multi-user's detection techniques is known as minimum output energy (MOE) detector.The wherein bkIt is for detecting
Signal, CkIt is that the shortcomings that v (t) is for noise, thus output signal can represent x (n), this method is as follows for spreading codes:
For convenience's sake, first assume that be intended to user is first user, and the weight vector of detector is W1, estimation
Bit is written as follow:
Wherein inner product of vector symbol definition is<x, y>=xTy;The cost function for defining MOE detector first is as follows:
The weight vector of MOE detector can be considered two mutually orthogonal vector addition synthesis in fact, be expressed as follows:
One of vector C1 is the spreading codes of first user, another vectorBe adaptability vector represent with
The weight size of environment adjustment,It is mutually orthogonal to represent two vectors, therefore adaptability vectorMay also indicate that as
Under:
The output of this adaptability MOE detector are as follows:
Wherein ρ1k=W1 Hxk[n], k=2 ... K and v1[n]=W1 HV [n], if an available weight makes, ρ1k≈0,
K=2 ... K can correctly estimate bit, and output signal power is as follows to interference plus noise ratio (SINR):
Above formula is analyzed when generationSituation when, represent and completely eliminate the interference of other users,
Then the performance of MOE detector can be close to decorrelation detector, this its SINR rewriting at this time is as follows:
Know as available from the above equation noise power be enlarged into (1+ | | W | |2)σ2, next consider how this detector finds one
Weight vector based on MOE, the MOE cost function by (2.15) formula definition are as follows:
The weight vector W1 for the detector found can minimize above formula, and weight vector at this time can also be such that output has
Mean square error is minimized, is described as follows:
If so handleIt is limited inWhen, minimizing MOE cost function is also to minimize output
Mean square error (MSE) finds out adaptability vector using steep drop gradient algorithmIt minimizesWithFirst
To MOE cost functionIt finds out to vectorGradient, it is as follows to obtain a gradient vector:
Any moment all needs to meet (2.16) formula, therefore finds out x first orthogonal vector section of user's spreading codes of neutralization and be
C1=X- < C1,X>C1, i.e., all interference components replace (2.23) formula the last one vector X, therefore generation one is orthogonal with C1
Projection vector, it is as follows finally to derive the stochastic gradient adaptive algorithm based on LMS:
WhereinAnd Y1[n]=C1 TX [n] is to receive vector in the projection amount of C1, from above formula it can be seen that this adaptability
Vector can only eliminate other users, not interfere be intended to user, while when weight vector % iteration convergence, will
The weight vector Wi of other users interference can be eliminated to one, as shown in Figure 6.
Finally it is known that the system block diagrams of MOE detector, as shown in fig. 7, however it can be found that in weight from figure
Updating in iterative process may occur lessWhen, in (2.14) formula
Estimating bit can be zero, and there is a phenomenon where can not correctly make decision, this phenomenon is known as faintly band (indecision
Region (desired signal cancellation)) or to be intended to signal is eliminated, this is the one big of this detector
Disadvantage, so while confirming the efficiency close to decorrelation detector before this detector, this is because above-mentioned this problem is deposited
, so laggard scholars, which also begin one's study, designs more, more preferable and more practical adaptation method, it is all undesirable, therefore
This proposes the present invention.
Summary of the invention
The purpose of the present invention is to provide a kind of interference adjustments method of robustness self-adapting changeable load filter, with
It solves to be proposed in above-mentioned background technique " since the wireless telecommunication system under zero access does not be easy to cause be intended to spreading codes not
Match, so that output efficiency has serious decay and interference problem " the technical issues of.Present invention can apply to sound, image
And on multi-users' detecting system such as wireless telecommunications in the unmatched situation of spreading codes, in the autocorrelation matrix of be intended to signal
Variable load item is increased in characteristic value, to handle the deficiency under original spreading codes mismatch to performance boost, can not only be increased
Add output signal and interference plus noise ratio, and bit error rate more can be effectively reduced, to obtain better efficiency.
To achieve the above object, the invention provides the following technical scheme: a kind of robustness self-adapting changeable load filter
Interference adjustments method, specifically includes the following steps:
A) interference is generated when the spreading codes that the detecting system of self-adapting changeable load filter detects transmission signal mismatch
In the case where, the eigenvalue λ of each noise composition is obtained using the sampler of the filteri;Then in each eigenvalue λi
Different load level (γ/λ is loaded belowi)2γ;It can be changed with realizing to increase in the autocorrelation matrix characteristic value of be intended to signal
Load terms, the final relevant interference for obtaining a variable load technology adjust formula, mismatch lower pair to handle original spreading codes
The deficiency of performance boost, above-mentioned interference adjustments formula are as follows:
B) then obtain γ value, it is preferred to add pair of horns matrix from phase correlation matrix in acquisition, finally objective function and
It is limited toIt is changed toAnd utilize (R+ γ I)-1It is inverse instead of original auto-correlation
Matrix R-1, finally obtain weight vectorAre as follows:
Then by weight vector control optimal deviation and Norm Control between the two, select suitable γ value, and bring formula into
(1-1) guarantees that interference adjustments formula meets the requirements with this, and is applied in filter, realizes that Adaptive matching is adjusted.
Further, in stepb when there is K user using same transmission signal, how specifically to optimize weight arrow
Amount, final optimization pass γ value, the specific steps of which are as follows:
1. defining the Base Band signal that institute receiving end is received at this time are as follows:
Wherein ak、bkAnd ck(t) amplitude, document signal and user's spreading codes of k-th of user are respectively represented;bk∈{±
1 }, TsIt is the symbol period, K is user's number;V (t) is then the high phase noise of additive property white;
2. however, received signal x (t) can be changed to the data vector of L × 1 after through matched filtering sampler:
Wherein n is n-th of bit interval, then spreading codes matrix is c=[c1 c2 … ck], wherein k-th of row vector of c divides
It is not k-th of user's spread spectrum exhibition, noise v [n] is that the additive property White Gaussian noise vector of L × 1 has zero average and variation
Number isA=diag (c1 c2 … ck), ckBe for the spread spectrum code vector of k-th of user, in other words,
And subscript T is defined as transposition,
3. it is assumed that wkIt is set as the weight vector of k-th of user's detector, thenIts
In,It is defined as output signal, subscript []HIt is represented as conjugate complex number transposition;
4. it is assumed that receiving end receives complete virtual noise code, as cd=c, every group of PN code should distribute to each make
User go using;But the spreading codes for receiving be intended to user in view of receiving end will receive multi-path and other channels are declined
The influence subtracted, and then there is the unmatched situation of PN code caused by generation and receiving end code circuit, so user is receiving
What end was an actually-receivedBe usually all unmatched in the opposite c in transmission end, so, be intended to user is connect
Receive the unmatched representation of PN code are as follows:
Wherein, spreading codes offset Δ c is average and variance is for one zeroGaussian random variables matrix;
5. weight vector is then obtained according to the formula (1-3) of acquisition, finally controlled in optimal deviation according to weight vector and
Norm Control selects suitable γ value between the two.
Compared with prior art, the beneficial effects of the present invention are: present invention can apply to sound, image and wireless telecommunications
On equal multi-users' detecting system in the unmatched situation of spreading codes, increase in the autocorrelation matrix characteristic value of be intended to signal
Add variable load item, to handle the deficiency under original spreading codes mismatch to performance boost, can not only increase output signal
With interference plus noise ratio, and bit error rate more can be effectively reduced, to obtain better efficiency.
Detailed description of the invention
When Fig. 1 is γ=0.1 in the present embodiment, 1/ λ of characteristic value inversei、1/(λi+γ)、WithThe comparison figure of curve.
Fig. 2 is the present invention compared with obtaining spreading codes offset observation bit error rate between existing structure detector
Schematic diagram (Vanance is spreading codes offset in figure, and BER is observation bit error rate);
Fig. 3 is the comparison schematic diagram that variation input SNR observation bit error rate is obtained between the present invention and existing structure detector
(SNR is variation input signal-to-noise ratio in figure, and BER is observation bit error rate);
Fig. 4 is the comparison schematic diagram that variation input SNR observation output SINR is obtained between the present invention and existing structure detector
(SNR is variation input signal-to-noise ratio in figure, and SINR is output signal and interference plus noise ratio);
Fig. 5 is the comparison schematic diagram (figure that changing value element observation output SINR is obtained between the present invention and existing structure detector
Middle SINR is output signal and interference plus noise ratio);
Fig. 6 is the schematic diagram that weight vectors eliminate other interference users in the prior art;
Fig. 7 is the system block diagrams of prior art minimum output energy detector.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts it is all its
His embodiment, shall fall within the protection scope of the present invention.
In figure: MCMV, MDL-MCMV and DL-MCMV detector are traditional detector;RMDL-MCMV is using this
The corresponding detector of inventive method defines the diagonalization that the RMDL-MCMV is self-adapting changeable load filter and loads multiple limit
The minimum variation detector of system.A kind of a kind of embodiment provided by the invention: interference of robustness self-adapting changeable load filter
Adjusting method, specifically includes the following steps:
A) interference is generated when the spreading codes that the detecting system of self-adapting changeable load filter detects transmission signal mismatch
In the case where, the eigenvalue λ of each noise composition is obtained using the sampler of the filteri;Then in each eigenvalue λi
Different load level (γ/λ is loaded belowi)2γ;It can be changed with realizing to increase in the autocorrelation matrix characteristic value of be intended to signal
Load terms, the final relevant interference for obtaining a variable load technology adjust formula, mismatch lower pair to handle original spreading codes
The deficiency of performance boost, above-mentioned interference adjustments formula are as follows:
B) then obtain γ value, it is preferred to add pair of horns matrix from phase correlation matrix in acquisition, finally objective function and
It is limited toIt is changed toAnd utilize (R+ γ I)-1Instead of original auto-correlation against square
Battle array R-1, finally obtain weight vectorAre as follows:
Then by weight vector control optimal deviation and Norm Control between the two, select suitable γ value, and bring formula into
(1-1) guarantees that interference adjustments formula meets the requirements with this, and is applied in filter, realizes that Adaptive matching is adjusted.
Further, in stepb when there is K user using same transmission signal, how specifically to optimize weight arrow
Amount, final optimization pass γ value, the specific steps of which are as follows:
1. defining the Base Band signal that institute receiving end is received at this time are as follows:
Wherein ak、bkAnd ck(t) amplitude, document signal and user's spreading codes of k-th of user are respectively represented;bk∈{±
1 }, TsIt is the symbol period, K is user's number;V (t) is then the high phase noise of additive property white;
2. however, received signal x (t) can be changed to the data vector of L × 1 after through matched filtering sampler:
Wherein n is n-th of bit interval, then spreading codes matrix is c=[c1 c2 … ck], wherein k-th of row vector of c divides
It is not k-th of user's spread spectrum exhibition, noise v [n] is that the additive property White Gaussian noise vector of L × 1 has zero average and variation
Number isA=diag (c1 c2 … ck), ckBe for the spread spectrum code vector of k-th of user, in other words,
And subscript T is defined as transposition,
3. it is assumed that wkIt is set as the weight vector of k-th of user's detector, thenIts
In,It is defined as output signal, subscript []HIt is represented as conjugate complex number transposition;
4. it is assumed that receiving end receives complete virtual noise code, as cd=c, every group of PN code should distribute to each make
User go using;But the spreading codes for receiving be intended to user in view of receiving end will receive multi-path and other channels are declined
The influence subtracted, and then there is the unmatched situation of PN code caused by generation and receiving end code circuit, so user is receiving
What end was an actually-receivedBe usually all unmatched in the opposite c in transmission end, so, be intended to user is connect
Receive the unmatched representation of PN code are as follows:
Wherein, spreading codes offset Δ c is average and variance is for one zeroGaussian random variables matrix;
5. then obtaining the detector that this method uses according to the formula (1-3) of acquisition, finally controlled according to weight vector most
Good deviation and Norm Control selects suitable γ value between the two.
Make a concrete analysis of the method difference with the prior art of the present embodiment: this technology directly proposes variable load technology
Robustness combines the minimum variation rule of multiple limitation, proposes the detector that this method uses, use G=(G3+γ3I)-3R2
Replace minimum variation (multiple constrained minimum variance, the MCMV) detector of the multiple limitation of tradition
R-1, the weight vector of construction multiuser detector is expressed as follows:
WK, RMDL=G-1C(CTG-1C)-1fk
It can be found that above-mentioned R-1、(R+γI)-1, M and G characteristic value relational expression to each other can respectively indicate are as follows:
Work as λi< V
Work as λi> γ
Value λ micro- for lesser spyi, represent noise composition, and its 1/ λ of special micro- value inverseiIt will become very big, therefore, open up
It will make W in the unmatched situation of frequency codekNorm float to very big value, and lead to higher other wave, strengthen noise
Interference to system, referred to as noise enhance (noise enhancement), in this case, 1/ λiIt is unable to estimate exact value.Instead
It, in order to fight unmatched situation, it is necessary to limit lesser characteristic value;
Assuming that the γ value for the detector that this method uses is regarded as a starting point to separate the inverse of characteristic value as estimation or limit
System, for DL technology, 1/ (λ of characteristic value inversei+ γ) it is also to come small than 1/ γ, thenNorm will
Do not have bigger tendency;However, when the γ value for the detector for using a larger this method to use, it can be from 1/ λiCause one
A apparent deviation will lead to deviation from detector is optimized, therefore in other words, the detecting used to this method
For device, has a specific γ value and replaced between the two in deviation and Norm Control, and the weight vector is controlled best
Deviation and Norm Control specific deviation and norm between the two when γ=0.1 range, reason is that such as Fig. 1 institute
Show, and minimum variation (multiple constrained minimum variance, the MCMV) detector of the multiple limitation of tradition
1/ λiIt compares, the method is in each eigenvalue λiIt is loaded with different load level (γ/λ belowi)2γ, realize compared with
Small γ is can be loaded into higher level;Therefore, can I is proposed as can be seen from Figure 1 mode compared with traditional MCMV
Detector can not only reduce drift, but also be than it with more robustness.
Because working as λi=0,
Work as λiWhen=γ,And in 1/ λiWithBetween
Generate the gap of about 3dB;
However, working as λiφ γ is mainly provided by signal part,It is ratioIt is more nearly 1/
λi;
In conclusion working as λiWhen φ γ, method provided by the invention can have better value close to 1/ than traditional MCMV detector
λi, therefore, method provided by the invention is with less deviation and more with robustness.
In summary in the above-described embodiments discovery this method can improve really spreading codes mismatch environment under detector it
Performance, however use this technology weight vector must optimum solution deviation and Norm Control between the two, can select to close
The γ value of suitable DL, can just obtain good performance;Therefore in the prior art in order to solve above-mentioned such phenomenon, therefore existing skill
The ability that device fights error in pointing is constituted using diagonalization load technology as wave beam is improved in art, is finally applied to use more
Person's detecting, specifically uses M=(G2+γ2I)-1R replaces original auto-correlation inverse matrix R-1, can get multiuser detector weight
Vector
Weight vector is may finally to solve this in the characteristic value of autocorrelation matrix using the load of diagonalization load technology at this time
The detector of invention must be gone the shortcomings that γ value of selection, but it fights the larger unmatched situation of spreading codes, and there are also selections more
Suitable γ value, method all proposed by the invention without the image of Buddha have and more adaptively go to select optimal γ value to be intended to increase
The intensity of signal inhibits noise and eliminates the interference in be intended to signal, detector is made more adaptively to make effectively to solve
Problem, method of the invention can be applied on multi-users' detecting system such as sound, image and wireless telecommunications opening up in summary
In the unmatched situation of frequency code, variable load item is increased in the autocorrelation matrix characteristic value of be intended to signal, it is original to handle
Spreading codes mismatch under to the deficiency of performance boost, can not only increase output signal and interference plus noise ratio, and more can be with
Bit error rate is effectively reduced, to obtain better efficiency.
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case where without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, nothing
By from the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by institute
Attached claim rather than above description limit, it is intended that will fall within the meaning and scope of the equivalent elements of the claims
All changes be included within the present invention.It should not treat any reference in the claims as limiting related right
It is required that.
Those of ordinary skill in the art will appreciate that realizing all or part of the process in above-described embodiment method, being can
It is completed with instructing relevant hardware by computer program, the program can be stored in a non-volatile computer can
It reads in storage medium, the program is when being executed, it may include such as the process of the embodiment of above-mentioned each method.Wherein, described to deposit
Storage media can be magnetic disk, CD, read-only memory (Read-Only Memory, ROM) etc..
It may include as used herein non-volatile to any reference of memory, storage, database or other media
And/or volatile memory.Suitable nonvolatile memory may include read-only memory (ROM), programming ROM (PROM),
Electrically programmable ROM (EPROM), electrically erasable ROM (EEPROM) or flash memory.Volatile memory may include depositing at random
Access to memory (RAM), it is used as external cache.By way of illustration and not limitation, RAM is available in many forms, all
Such as static RAM (SRAM), dynamic ram (DRAM), synchronous dram (SDRAM), double data rate sdram (DDR SDRAM), enhancing
Type SDRAM (ESDRAM), synchronization link (Synchlink) DRAM (SLDRAM), memory bus (Rambus) direct RAM
(RDRAM), direct memory bus dynamic ram (DRDRAM) and memory bus dynamic ram (RDRAM).
Each technical characteristic of embodiment described above can be combined arbitrarily, for simplicity of description, not to above-mentioned reality
It applies all possible combination of each technical characteristic in example to be all described, as long as however, the combination of these technical characteristics is not deposited
In contradiction, all should be considered as described in this specification.
The several embodiments of the application above described embodiment only expresses, the description thereof is more specific and detailed, but simultaneously
It cannot therefore be construed as limiting the scope of the patent.It should be pointed out that coming for those of ordinary skill in the art
It says, without departing from the concept of this application, various modifications and improvements can be made, these belong to the guarantor of the application
Protect range.Therefore, the scope of protection shall be subject to the appended claims for the application patent.
Claims (2)
1. a kind of interference adjustments method of robustness self-adapting changeable load filter, it is characterised in that specifically include following step
It is rapid:
A) interference is generated when the spreading codes that the detecting system of self-adapting changeable load filter detects transmission signal mismatch
In the case where, the eigenvalue λ of each noise composition is obtained using the sampler of the filteri;Then in each eigenvalue λiAfterwards
Face loads different load level (γ/λi)2γ;Increase variable bear in the autocorrelation matrix characteristic value of be intended to signal to realize
Item is carried, the final relevant interference for obtaining a variable load technology adjusts formula, to handle under original spreading codes mismatch to property
The deficiency that can be promoted, above-mentioned interference adjustments formula are as follows:
B) then obtain γ value, it is preferred to add pair of horns matrix from phase correlation matrix in acquisition, finally objective function and
It is limited toIt is changed toAnd utilize (R+ γ I)-1Instead of originally from phase
Close inverse matrix R-1, finally obtain weight vectorAre as follows:
Then by weight vector control optimal deviation and Norm Control between the two, select suitable γ value, and bring formula into
(1-1) guarantees that interference adjustments formula meets the requirements with this, and is applied in filter, realizes that Adaptive matching is adjusted.
2. a kind of interference adjustments method of robustness self-adapting changeable load filter according to claim 1, feature
It is: in stepb when there is K user using same transmission signal, how specifically optimizes weight vector, final optimization pass γ
Value, the specific steps of which are as follows:
1. defining the Base Band signal that institute receiving end is received at this time are as follows:
Wherein ak、bkAnd ck(t) amplitude, document signal and user's spreading codes of k-th of user are respectively represented;bk∈ { ± 1 },
TsIt is the symbol period, K is user's number;V (t) is then the high phase noise of additive property white;
2. however, received signal x (t) can be changed to the data vector of L × 1 after through matched filtering sampler:
Wherein n is n-th of bit interval, then spreading codes matrix is c=[c1 c2 … ck], wherein k-th of row vector of c is distinguished
It is k-th of user's spread spectrum exhibition, noise v [n] is that the additive property White Gaussian noise vector of L × 1 has zero average and variance
ForA=diag (c1 c2 … ck), ckBe for the spread spectrum code vector of k-th of user, in other words,And
Subscript T is defined as transposition,
3. it is assumed that wkIt is set as the weight vector of k-th of user's detector, thenWherein,It is defined as output signal, subscript []H
It is represented as conjugate complex number transposition;
4. it is assumed that receiving end receives complete virtual noise code, as cd=c, every group of PN code should distribute to each use
Person go using;But the spreading codes for receiving be intended to user in view of receiving end will receive multi-path and other channel attenuations
It influences, and then the unmatched situation of PN code caused by generation and receiving end code circuit occurs, so user is in receiving end institute
It is an actually-receivedBe usually all unmatched in the opposite c in transmission end, so, by PN received by be intended to user
The unmatched representation of code are as follows:
Wherein, spreading codes offset Δ c is average and variance is for one zeroGaussian random variables matrix;
5. weight vector is then obtained according to the formula (1-3) of acquisition, finally controlled in optimal deviation according to weight vector and
Norm Control selects suitable γ value between the two.
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