CN105007240B - The distorted signals method for reconstructing and device of a kind of pilot tone multiplexing technology - Google Patents

The distorted signals method for reconstructing and device of a kind of pilot tone multiplexing technology Download PDF

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CN105007240B
CN105007240B CN201510287894.1A CN201510287894A CN105007240B CN 105007240 B CN105007240 B CN 105007240B CN 201510287894 A CN201510287894 A CN 201510287894A CN 105007240 B CN105007240 B CN 105007240B
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data
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frequency domain
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CN105007240A (en
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潘伟锵
郑倍雄
温淼文
林少娥
陈芳炯
季飞
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South China University of Technology SCUT
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Abstract

The invention discloses a kind of distorted signals method for reconstructing of pilot tone multiplexing technology, including:S1, input the original position of pilot tone, channel response corresponding to frequency-region signal, block of frequency domain data after equilibrium, S2, inversefouriertransform and hard decision are carried out to block of frequency domain data after equilibrium, obtain the Preliminary detection result of block of frequency domain data, and it is stored in data block memory cell, S3, the Preliminary detection result that there is currently data block memory cell is subjected to Fourier transformation, S4, the optimal estimation result of p-th of data is obtained by maximum- likelihood estimation, S5, by p-th of data in the optimal estimation result s ' replacement data block memory cell of p-th of the data obtained by maximum- likelihood estimation, S6, repeat step S3~S5, until block of frequency domain data Data Convergence after balanced.Present method invention is based on maximum-likelihood criterion, directly obtains optimal signal estimation from the statistical significance, effectively reduces the bit error rate, suppresses error code diffusion, greatly reduce algorithm complex.

Description

The distorted signals method for reconstructing and device of a kind of pilot tone multiplexing technology
Technical field
The present invention relates to digital wireless communication field, the distorted signals of more particularly to a kind of pilot tone multiplexing technology is rebuild Method.
Background technology
In a wireless communication system, the basic task of receiving terminal is to recover the data that transmitting terminal is sent as much as possible, i.e., most Possibly reduce the bit error rate of system.In practical communication system, the quality for evaluating receiver is mainly calculated according to receiver The error performance of method, real-time treatment effeciency and algorithm complex, and it is foundation that the reliability of weighing communications system transmission is main The bit error rate of receiving terminal.Data, which can be then improved, with the single-carrier frequency domain equalization system of pilot tone multiplexing technology sends effect Rate, but the raising of data transmission efficiency is using the partial distortion of data as cost.Therefore, receiving terminal needs to compensate well for this Partial distortion, distorted signals reconstruction is carried out to the data block of distortion, to obtain alap system bit error rate.
Current existing distorted signals algorithm for reconstructing is that the data of partial distortion are estimated using the data of Preliminary detection Meter compensation, is then detected to the data block after compensation again.However, the problem of this mode easily causes error code to spread, special It is not in the case of estimation compensation inaccuracy.Because the compensated information that the inaccuracy of the data of Preliminary detection feedbacks also can There is certain distortion, it is likely that more distortions are introduced to the data received originally, and then have aggravated detection data output knot The inaccuracy of fruit.Meanwhile the undercompensation of channel distortion also can produce deleterious effect to signal reconstruction below, it is likely that The problem of heavy system error code spreads.
The content of the invention
The shortcomings that first of the present invention aims to overcome that prior art and deficiency, there is provided a kind of pilot tone is multiplexed skill The distorted signals method for reconstructing of art.
It is another object of the present invention to the shortcomings that overcoming prior art and insufficient, there is provided a kind of pilot tone is multiplexed skill The distorted signals reconstructing device of art.
First purpose of the present invention is achieved through the following technical solutions:
A kind of distorted signals method for reconstructing of pilot tone multiplexing technology, comprises the following steps:
S1, input initial data, the initial data include:The original position b of pilot tone0, channel corresponding to frequency-region signal ResponseBlock of frequency domain data after equilibriumWherein block of frequency domain data includes symbol numbers N, between adjacent pilot frequencies between Every M, glossary of symbols χ, p=0 is initialized;
S2, to it is described it is balanced after block of frequency domain dataInversefouriertransform is carried out to obtainIt is right againEnter Row hard decision, obtain the Preliminary detection result of block of frequency domain dataAnd it is stored in data block memory cell;
S3, the Preliminary detection result that data block memory cell will be there is currentlyFourier transformation is carried out, obtains frequency The estimated data block in domain
S4, the optimal estimation result s ' of p-th of data is obtained by maximum- likelihood estimation, realized as follows:
Wherein, subscript p represents the position currently updated the data;
S5, the optimal estimation result s ' replacement datas block storage by p-th of the data obtained by maximum- likelihood estimation P-th of data in unit, realize as follows:And make p=p+1;
Whether S6, detection p≤N set up, if so, then repeat step S3~step S5, if not, until the equilibrium Frequency domain data block iteration renewal afterwards is completed, and exports final result
Further, block of frequency domain data is after the equilibrium
The implication of wherein each symbol is as follows:
For the transmission signal on frequency domain, snIt is that data are sent in time domain, is derived from glossary of symbols χ, The symbol numbers that N includes for block of frequency domain data after each equilibrium, n is subscript, represents the position of time-domain signal, and k is subscript, Represent the position of frequency-region signal, VkFor white Gaussian noise, H corresponding to k-th of frequency-region signalkFor letter corresponding to k-th of frequency-region signal Road responds, b0For the original position of pilot tone, intervals of the M between adjacent pilot frequencies.
Further, the data block memory cell is by the Preliminary detection result of the block of frequency domain dataWith by most Maximum-likelihood algorithm for estimating is to block of frequency domain data after the equilibriumOptimal estimation result store simultaneously, when all numbers Terminate according to iteration renewal, by the data output of storage, the signal reconstruction result as receiving terminal.
Further, the data in the step S5 in data block memory cell replace with data symbol renewal one by one.
Another object of the present invention is achieved through the following technical solutions:
A kind of distorted signals reconstructing device of pilot tone multiplexing technology, including following modules:
Initial data input module, the module are used to input initial data, and the initial data includes:The start bit of pilot tone Put b0, channel response corresponding to frequency-region signalBlock of frequency domain data after equilibriumWherein block of frequency domain data includes symbol Number number N, interval M, glossary of symbols χ between adjacent pilot frequencies, initializes p=0;
Preliminary detection module, the module are used for block of frequency domain data after the equilibriumInversefouriertransform is carried out to obtain ArriveIt is right againHard decision is carried out, obtains the Preliminary detection result of block of frequency domain dataAnd it is stored in data block Memory cell;
Fourier transformation module, the module are used to that the Preliminary detection result of data block memory cell will to be there is currently Fourier transformation is carried out, obtains the estimated data block of frequency domain
Maximal possibility estimation module, the module are estimated for obtaining p-th of the optimal of data with maximum- likelihood estimation Result s ' is counted, is realized as follows:
Wherein, subscript p represents the position currently updated the data;
Update module, the module are used for the optimal estimation result for p-th of the data that will be obtained by maximum- likelihood estimation P-th of data in s ' replacement data block memory cell, realize as follows:And make p=p+1;
Loop detection module, the module are used to detect whether p≤N sets up, if so, then call the Fourier to become successively Block, maximal possibility estimation module and update module are changed the mold, if not, then frequency domain data block iteration has updated after the equilibrium Into output final result
Further, the data in the update module in data block memory cell replace with data symbol renewal one by one.
The present invention is had the following advantages relative to prior art and effect:
1) criterion of the present method invention based on maximum likelihood can realize the information for maximally utilising receiving terminal, obtain pole Low bit error rate result, hence it is evident that improve the poor error performance of existing distorted signals method for reconstructing.
2) criterion of the present method invention based on maximum likelihood, optimal signal estimation, suppression are directly obtained from the statistical significance Error code diffusion has been made, the signal of receiving terminal is recovered more accurately and reliably.
3) present method invention uses the mode of iteration, and single symbol is updated, considerably reduces the complexity of calculating Degree.
Brief description of the drawings
Fig. 1 is the flow chart of the distorted signals method for reconstructing of the frequency domain pilot frequency multiplexing technology of embodiment one;
Fig. 2 be several distorted signals method for reconstructing in embodiment one under Gaussian channel with the present invention based on maximum likelihood The performance comparision analogous diagram of criterion distorted signals method for reconstructing;
Fig. 3 be several distorted signals method for reconstructing in embodiment one under frequency-selective channel with the present invention based on maximum likelihood The performance comparision analogous diagram of criterion distorted signals method for reconstructing;
Fig. 4 is the composition frame chart of the distorted signals reconstructing device of the frequency domain pilot frequency multiplexing technology of embodiment two.
Embodiment
To make the objects, technical solutions and advantages of the present invention clearer, clear and definite, develop simultaneously embodiment pair referring to the drawings The present invention is further described.It should be appreciated that the specific embodiments described herein are merely illustrative of the present invention, and do not have to It is of the invention in limiting.
Embodiment one
Fig. 1 is referred to, Fig. 1 is a kind of stream of the distorted signals method for reconstructing of pilot tone multiplexing technology in the present embodiment one Cheng Tu.As shown in figure 1, the method that the data-signal distortion that this method is a kind of communication receiver is rebuild, equal in single-carrier frequency-domain Implement under balance system, be mainly used in the up-link of radio communication, realize that receiving terminal is rebuild to distorted signal.
With reference to Fig. 1, the distorted signals method for reconstructing of pilot tone multiplexing technology disclosed in the embodiment is illustrated Process step.
Step S1:Input initial data.Specifically include:
Input the original position b of pilot tone0, channel response corresponding to frequency-region signalBlock of frequency domain data after equilibriumWherein data block includes symbol numbers N, interval M, glossary of symbols χ between adjacent pilot frequencies, initializes p=0;
Step S2:Preliminary detection is carried out to block of frequency domain data after equilibrium, and is stored in data block memory cell.It is specific as follows:
To block of frequency domain data after the equilibriumCarry out inversefouriertransformIt is right againSentenced firmly Certainly, the Preliminary detection result of block of frequency domain data is obtainedAnd it is stored in data block memory cell.
Here block of frequency domain data is after equilibrium
The implication of wherein each symbol is as follows:
For the transmission signal on frequency domain, and snIt is that data are sent in time domain, is derived from glossary of symbols χ;
N:The symbol numbers that each data block includes;
n:Subscript, the position of time-domain signal;
k:Subscript, the position of frequency-region signal;
Vk:White Gaussian noise corresponding to k-th of frequency-region signal;
Hk:Channel response corresponding to k-th of frequency-region signal;
b0:The original position of pilot tone;
M:Interval between adjacent pilot frequencies;
Step S3, the Preliminary detection result of data block memory cell will be there is currentlyFourier transformation is carried out, is obtained To the estimated data block of frequency domain
Step S4, the optimal estimation result s ' of p-th of data is obtained by maximal possibility estimation;
Maximal possibility estimation obtains the optimal estimation result of single time domain data, realizes as follows:
Wherein, subscript p represents the position currently updated the data.
Step S5, data update, by the optimal estimation result s ' replacement numbers of p-th of the data obtained by maximal possibility estimation According to p-th of data in block memory cell, and make p=p+1;
Realize as follows:
Data block memory cell simultaneously gets up the Preliminary detection result of block of frequency domain data and renewal result interim storage, when After all data renewals terminate, just the data block of storage is exported, the signal reconstruction result as receiving terminal.
Step S6, p≤N is detected whether, if p≤N, repeat step S3~step S5, until whole data block iteration is more It is new to complete, i.e. p=N, and export final result
In summary, the distorted signals method for reconstructing based on maximum-likelihood criterion, by step S3 Fourier transformations and step Circulation work completes equilibrium to S4 Maximum Likelihood Detections in order.
It is (1) by block of frequency domain data after equilibrium, according to maximum-likelihood criterion, can obtains
WhereinS=[s0,...,sN-1]T, Z=[Z0,...,ZN-1]T, probability function f (Z | s) can be with It is expressed as:
Wherein S=[S0,...,SN-1]TIt is s Fourier transformation,Γ represents a vector, Its k-th of element representation is
Formula (5) can be equivalent to
But the complexity of direct solution formula (7) is very high, whole searching process needs to travel through | χ |NKind situation.For Complexity is reduced as much as possible, and the present invention simplifies the solution of formula (7) using the method for iteration renewal.The present invention uses just The data block of step detection carries out symbol one by one and updated, and greatly reduces complexity.
The algorithm is named as the distorted signals algorithm for reconstructing based on maximum-likelihood criterion, and embodiment is as shown in Figure 1.
The present invention is the distorted signals algorithm for reconstructing based on maximum-likelihood criterion, and mistake is significantly better than in terms of bit error rate performance The signal reconstruction algorithm really compensated;In the above-described embodiments, symbol renewal one by one is introduced under based on maximum-likelihood criterion Mechanism.Different from the signal reconstruction algorithm of distortion compensation, the present invention avoids the problem of error code spreads well.
The emulation platform of single carrier frequency domain equalization communication system is built by matlab, have selected 16-QAM modulation methods Formula, the symbol numbers N=512 that each data block includes, pilot tone number Np=16;In order to eliminate the interference between symbolic blocks, each Symbolic blocks with the addition of the cyclic prefix that length is 12.Emulation has used Chu sequences as pilot signal, and uses trigonometric interpolation Mode domain channel response is estimated.As a comparison, emulation selects (the signal mistake of hard decision mode of two kinds of other methods The signal reconstruction method of true weight construction method and distortion compensation) rebuild and calculate with the distorted signals based on maximum-likelihood criterion of the invention Method is compared.
Fig. 2 is several distorted signals method for reconstructing and the maximum-likelihood criterion distorted signals of the present invention under Gaussian channel The performance comparision analogous diagram of method for reconstructing.It can be seen that maximum-likelihood criterion distorted signals method for reconstructing of the invention is at three kinds It is that performance is optimal in method.For the distorted signals method for reconstructing of hard decision mode, due to pilot tone multiplexing technology in itself Signal-to-distortion ratio is more serious, and then deviation is very big for the reconstruction signal that directly progress hard decision obtains.For the signal weight of distortion compensation Construction method, this method compensates to frequency domain distortion part can obtain preferable performance, but less accurately compensation also can Reconstruction signal is caused to produce certain deviation.And the maximum-likelihood criterion distorted signals method for reconstructing of the present invention is united from probability Signal reconstruction is directly carried out in the angle of meter, recovers optimal matched signal.It can therefore be seen that the maximum likelihood of the present invention Criterion distorted signals method for reconstructing can obtain splendid performance, be optimal under Gaussian channel.
Fig. 3 be several distorted signals method for reconstructing under frequency-selective channel with the present invention based on maximum-likelihood criterion signal The performance comparision analogous diagram of distortion method for reconstructing.The frequency-selective channel shares 10 multipaths, and the channel response obedience of every multipath is auspicious Profit distribution and its mean power therewith the time present exponential damping trend.Receiving terminal is entered using zero forcing equalizer to reception signal Row is balanced.It will again be seen that the present invention maximum-likelihood criterion distorted signals method for reconstructing be in three kinds of methods performance most Good.Compared to the signal reconstruction method of the preferable distortion compensation of performance, maximum-likelihood criterion distorted signals of the invention is rebuild Method can still obtain nearly 1.5dB snr gain.
Embodiment two
Fig. 4 is referred to, Fig. 4 is the composition frame of the distorted signals reconstructing device of the frequency domain pilot frequency multiplexing technology of the present embodiment two Figure.As illustrated, present embodiment discloses a kind of distorted signals reconstructing device of pilot tone multiplexing technology, single carrier is used in Under frequency domain equalization system, it is mainly used in the up-link of radio communication, realizes the work(that receiving terminal is rebuild to distorted signal Energy.
Specifically include following modules:
1st, initial data input module
The module is used to input initial data, and the initial data includes:The original position b of pilot tone0, frequency-region signal it is corresponding Channel responseBlock of frequency domain data after equilibriumWherein block of frequency domain data includes symbol numbers N, adjacent pilot frequencies Between interval M, glossary of symbols χ, initialize p=0;Then, block of frequency domain data is after equilibrium
The implication of wherein each symbol is as follows:
For the transmission signal on frequency domain, snIt is that data are sent in time domain, is derived from glossary of symbols χ, N The symbol numbers included for block of frequency domain data after each equilibrium, n is subscript, represents the position of time-domain signal, and k is subscript, Represent the position of frequency-region signal, VkFor white Gaussian noise, H corresponding to k-th of frequency-region signalkFor letter corresponding to k-th of frequency-region signal Road responds, b0For the original position of pilot tone, intervals of the M between adjacent pilot frequencies.
2nd, preliminary detection module
The module is used for block of frequency domain data after the equilibriumInversefouriertransform is carried out to obtainIt is right againHard decision is carried out, obtains the Preliminary detection result of block of frequency domain dataAnd it is stored in data block memory cell.
3rd, fourier transformation module
The module is used to that the Preliminary detection result of data block memory cell will to be there is currentlyCarry out Fourier transformation, Obtain the estimated data block of frequency domain
4th, maximal possibility estimation module
The module is used to obtain the optimal estimation result s ' of p-th of data with maximum- likelihood estimation, realizes as follows:
Wherein, subscript p represents the position currently updated the data.
5th, update module
The module is used for the optimal estimation result s ' replacement datas for p-th of the data that will be obtained by maximum- likelihood estimation P-th of data in block memory cell, realize as follows:And make p=p+1;
Wherein, the optimal estimation result s ' replacement datas block storage of p-th of the data obtained by maximum- likelihood estimation P-th of data in unit, whole data block renewal replacement process update for data symbol iteration one by one.
6th, loop detection module
The module is used to detect whether p≤N sets up, if so, the fourier transformation module, maximum are then called successively seemingly Right estimation module and update module, if not, then the renewal of frequency domain data block iteration is completed after the equilibrium, exports final result
Wherein, data block memory cell is by the Preliminary detection result of the block of frequency domain dataEstimate with by maximum likelihood Calculating method is to block of frequency domain data after the equilibriumOptimal estimation result store simultaneously, when all data iteration more Newly terminate, by the data output of storage, the signal reconstruction result as receiving terminal.
It is worth noting that, in said apparatus embodiment, included modules or unit are simply according to function logic Divided, but be not limited to above-mentioned division, as long as corresponding function can be realized;In addition, each device and list The specific name of member is also only to facilitate mutually distinguish, the protection domain being not intended to limit the invention.
Above-described embodiment is the preferable embodiment of the present invention, but embodiments of the present invention are not by above-described embodiment Limitation, other any Spirit Essences without departing from the present invention with made under principle change, modification, replacement, combine, simplification, It should be equivalent.

Claims (6)

1. a kind of distorted signals method for reconstructing of pilot tone multiplexing technology, it is characterised in that comprise the following steps:
S1, input initial data, the initial data include:The original position b of pilot tone0, channel response corresponding to frequency-region signal, it is balanced after block of frequency domain data, wherein block of frequency domain data includes symbol numbers N, the interval M between adjacent pilot frequencies, Glossary of symbols χ, initialize p=0;
S2, to it is described it is balanced after block of frequency domain dataInversefouriertransform is carried out to obtain, then it is rightCarry out hard Judgement, obtains the Preliminary detection result of block of frequency domain data, and it is stored in data block memory cell;
S3, the Preliminary detection result that data block memory cell will be there is currentlyFourier transformation is carried out, obtains frequency domain Estimated data block
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S4, the optimal estimation result s ' of p-th of data is obtained by maximum- likelihood estimation, realized as follows:
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Wherein, subscript p represents the position currently updated the data;
S5, the optimal estimation result s ' replacement data block memory cell by p-th of the data obtained by maximum- likelihood estimation In p-th of data, realize it is as follows:, and make p=p+1;
Whether S6, detection p≤N set up, if so, then repeat step S3~step S5, if not, until frequency after the equilibrium The renewal of numeric field data block iteration is completed, and exports final result
2. the distorted signals method for reconstructing of pilot tone multiplexing technology according to claim 1, it is characterised in that described equal Block of frequency domain data is after weighing apparatus
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The implication of wherein each symbol is as follows:
For the transmission signal on frequency domain, snIt is that data are sent in time domain, it is every to be derived from glossary of symbols χ, N The symbol numbers that block of frequency domain data includes after the individual equilibrium, n is subscript, represents the position of time-domain signal, and k is subscript, is represented The position of frequency-region signal, VkFor white Gaussian noise, H corresponding to k-th of frequency-region signalkRung for channel corresponding to k-th of frequency-region signal Should, b0For the original position of pilot tone, intervals of the M between adjacent pilot frequencies.
3. the distorted signals method for reconstructing of pilot tone multiplexing technology according to claim 1, it is characterised in that the number According to block memory cell by the Preliminary detection result of the block of frequency domain dataWith by maximum- likelihood estimation to it is described Block of frequency domain data after weighing apparatusOptimal estimation result store simultaneously, when all data iteration renewal terminate, will store Data output, the signal reconstruction result as receiving terminal.
4. the distorted signals method for reconstructing of pilot tone multiplexing technology according to any one of claims 1 to 3, its feature exist In,
Data in the step S5 in data block memory cell replace with data symbol renewal one by one.
5. a kind of distorted signals reconstructing device of pilot tone multiplexing technology, it is characterised in that including following modules:
Initial data input module, the module are used to input initial data, and the initial data includes:The original position b of pilot tone0、 Channel response corresponding to frequency-region signal, it is balanced after block of frequency domain data, wherein block of frequency domain data includes symbol Number N, interval M, glossary of symbols χ between adjacent pilot frequencies, initialize p=0;
Preliminary detection module, the module are used for block of frequency domain data after the equilibriumInversefouriertransform is carried out to obtain, then it is rightHard decision is carried out, obtains the Preliminary detection result of block of frequency domain data, and be stored in data block and deposit Storage unit;
Fourier transformation module, the module are used to that the Preliminary detection result of data block memory cell will to be there is currentlyCarry out Fourier transformation, obtain the estimated data block of frequency domain
<mrow> <msub> <mover> <mi>S</mi> <mo>^</mo> </mover> <mi>k</mi> </msub> <mo>=</mo> <mfrac> <mn>1</mn> <msqrt> <mi>N</mi> </msqrt> </mfrac> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>n</mi> <mo>=</mo> <mn>0</mn> </mrow> <mrow> <mi>N</mi> <mo>-</mo> <mn>1</mn> </mrow> </munderover> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mi>n</mi> <mrow> <mo>(</mo> <mn>0</mn> <mo>)</mo> </mrow> </msubsup> <msup> <mi>e</mi> <mrow> <mo>-</mo> <mi>j</mi> <mfrac> <mrow> <mn>2</mn> <mi>&amp;pi;</mi> <mi>n</mi> <mi>k</mi> </mrow> <mi>N</mi> </mfrac> </mrow> </msup> <mo>,</mo> <mi>k</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mo>...</mo> <mo>,</mo> <mi>N</mi> <mo>-</mo> <mn>1.</mn> <mo>;</mo> </mrow>
Maximal possibility estimation module, the module are used to obtain the optimal estimation knot of p-th of data with maximum- likelihood estimation Fruit s ', realize as follows:
<mrow> <msup> <mi>s</mi> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <mi>arg</mi> <munder> <mrow> <mi>m</mi> <mi>i</mi> <mi>n</mi> </mrow> <mrow> <mi>s</mi> <mo>&amp;Element;</mo> <mi>&amp;chi;</mi> </mrow> </munder> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mrow> <mo>(</mo> <mi>mod</mi> <mi> </mi> <mi>M</mi> <mo>)</mo> </mrow> <mo>&amp;NotEqual;</mo> <msub> <mi>b</mi> <mn>0</mn> </msub> </mrow> </munder> <mo>|</mo> <msub> <mi>H</mi> <mi>k</mi> </msub> <msup> <mo>|</mo> <mn>2</mn> </msup> <mo>&amp;CenterDot;</mo> <mo>|</mo> <msub> <mi>Z</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mover> <mi>S</mi> <mo>^</mo> </mover> <mi>k</mi> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <msqrt> <mi>N</mi> </msqrt> </mfrac> <mrow> <mo>(</mo> <mi>s</mi> <mo>-</mo> <msubsup> <mover> <mi>s</mi> <mo>^</mo> </mover> <mi>p</mi> <mrow> <mo>(</mo> <mn>0</mn> <mo>)</mo> </mrow> </msubsup> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mi>j</mi> <mfrac> <mrow> <mn>2</mn> <mi>&amp;pi;</mi> <mi>p</mi> <mi>k</mi> </mrow> <mi>N</mi> </mfrac> </mrow> </msup> <msup> <mo>|</mo> <mn>2</mn> </msup> </mrow>
Wherein, subscript p represents the position currently updated the data;
Update module, the module are used to replace the optimal estimation result s ' of p-th of the data obtained by maximum- likelihood estimation P-th of the data changed in data block memory cell, realize as follows:, and make p=p+1;
Loop detection module, the module are used to detect whether p≤N sets up, if so, the Fourier transformation mould is then called successively Block, maximal possibility estimation module and update module, if not, then the renewal of frequency domain data block iteration is completed after the equilibrium, defeated Go out final result
6. the distorted signals reconstructing device of pilot tone multiplexing technology according to claim 5, it is characterised in that
Data in the update module in data block memory cell replace with data symbol renewal one by one.
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