CN102316071B - Signal processing method and device - Google Patents

Signal processing method and device Download PDF

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CN102316071B
CN102316071B CN201110287972.XA CN201110287972A CN102316071B CN 102316071 B CN102316071 B CN 102316071B CN 201110287972 A CN201110287972 A CN 201110287972A CN 102316071 B CN102316071 B CN 102316071B
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CN102316071A (en
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易鸿
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ZTE Corp
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ZTE Corp
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Abstract

The invention discloses a kind of signal processing method and device.Wherein, this method includes：Receiving terminal receives the signal for the unified midamble code that carrying from transmitting terminal pre-sets；Receiving terminal carries out discrete Fourier transform (DFT) window synchronization, Frequency Synchronization and subcarrier to signal according to unified midamble code and recovered respectively.Pass through the present invention, signal progress DFT window synchronizations, Frequency Synchronization and the subcarrier recovery of the receiving end that can be achieved a butt joint using same midamble code, so as to reduce OFDM (OFDM) expense.

Description

Signal processing method and device
Technical field
The present invention relates to the communications field, in particular to a kind of signal processing method and device.
Background technology
With whole world economy and the development of culture life, communications market needed rapid growth to bandwidth in recent years.Mesh Before, 100G systems are almost commercial, and therefore, industry has gradually turned one's attention to Beyond 1T.For Beyond 1T Speech, in numerous candidate technologies, relevant OFDM (the orthogonal frequency division of polarization stepped multiplexing Multiplexing, OFDM) system (PDM-CO-OFDM) due to its remarkable availability of frequency spectrum, be adapted to using spirit The characteristics of network configurations living, it is increasingly subject to the favor of academia and industry.
Fig. 1 is referred to, Fig. 1 shows a typical PDM-CO-OFDM system, in transmitting terminal, it is necessary to the data of transmission Serioparallel exchange (S → P) is first carried out, then, progress symbol mapping (Symbol Map) is needed according to modulation system, is inserted into instruction Practice code (Train Symbol).Parallel-serial conversion (P → S) is carried out after inverse discrete Fourier transform (IDFT), then adds circulation Prefix (Cycle Prefix), radio frequency (RF) signal is finally exported by digital analog converter (DAC).For PDM (Polarization Division Multiplexing, polarize division multiplexing) mode, RF signals can be modulated in two polarization states respectively, then be passed through Optical channel is crossed to be transmitted.
In receiving terminal, reception signal is demodulated respectively.RF signals after demodulation carry out DFT windows first after DAC Mouth is synchronous, and cyclic prefix (Cycle Prefix) is removed after synchronously completing, and then carries out serioparallel exchange (S → P), then carries out DFT, Frequency Synchronization is carried out then according to midamble code (Train Symbol) and subcarrier recovers.Modulated for PDM, it is also necessary to carry out inclined That shakes goes to rotate.So far, synchronously complete, carry out symbol judgement (MIMO Process), completed after parallel-serial conversion (P → S) Receive.
As can be seen here, for the receiving terminal of PDM-CO-OFDM systems, need to answer by three-level before symbol judgement is carried out Miscellaneous synchronization, it is respectively：A, discrete Fourier transform (DFT) window synchronization；B, Frequency Synchronization；C, subcarrier recovers.It is moreover, right Modulated in PDM, it is also necessary to which what is polarized goes to rotate.In order to synchronize and polarization goes to rotate, more effective method be Transmitting terminal inserts midamble code, and receiving terminal midamble code known to synchronizes and polarization goes to rotate.In the prior art, for DFT window synchronizations, subcarrier recover and polarization goes to rotate, and respectively using three kinds of different midamble codes, still, cross the instruction of multiple types Practice the expense that code can increase OFDM.
For the midamble code of multiple types was used in correlation technique with carry out DFT window synchronizations, subcarrier recover and polarization The problem of going the availability of frequency spectrum of OFDM caused by rotating too low, not yet proposes effective solution at present.
The content of the invention
It is a primary object of the present invention to provide a kind of signal processing method and device, at least to solve the above problems.
According to an aspect of the invention, there is provided a kind of signal processing method, including：Receiving terminal receives and comes from transmitting terminal The signal for carrying the unified midamble code pre-set；Receiving terminal carries out direct computation of DFT respectively according to unified midamble code to signal Leaf transformation DFT window synchronizations, Frequency Synchronization and subcarrier recover.
Preferably, before the signal that receiving terminal receives the unified midamble code that carrying from transmitting terminal pre-sets, Including：The data that unified midamble code insertion is needed to transmit by transmitting terminal；Transmitting terminal passes through the data after inserting unified midamble code Digital analog converter DAC is changed；Transmitting terminal through optical channel is sent to receiving terminal after the signal being converted to is modulated.
Preferably, receive the unified midamble code S carried in signal and meet below equation：
Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, N Be equal to sub-carrier number for the length for unifying midamble code 2 times, x and y are two orthogonal polarisation states.
Preferably, receiving terminal according to unified midamble code signal is carried out respectively discrete Fourier transform DFT window synchronizations, After Frequency Synchronization and subcarrier recover, including：In the case where signal is by the PDM modulation of polarization division multiplexing, signal is entered Row polarization removes rotation process.
Preferably, receiving terminal carries out discrete Fourier transform DFT window synchronizations according to unified midamble code to signal, including： DFT window synchronizations are carried out to signal according to below equation：
Wherein, [rM, x, rM, y]TM-th of sample value for sampling to obtain for analog-digital converter ADC,For the sync bit estimated Put, Max |d() represents that sliding variable d make it that the value of expression formula is maximum.
Preferably, receiving terminal carries out Frequency Synchronization according to unified midamble code to signal, including：According to below equation to signal Carry out Frequency Synchronization：Wherein,For offset estimation value, Δ f is ADC sample frequencys.
Preferably, receiving terminal carries out subcarrier recovery according to unified midamble code to signal, including：Calculated according to below equation Sub-carrier：
Wherein, HXx, kFor the channel frequency shock response between k-th of subcarrier x emitter and x receivers, HXy, kFor kth Channel frequency shock response between individual subcarrier x emitters and y receivers, HYx, kConnect for k-th of subcarrier y emitter with x Channel frequency shock response between receipts machine, HYx, kChannel frequency punching between k-th of subcarrier y emitter and y receivers Hit response.
According to another aspect of the present invention, there is provided a kind of signal processing apparatus, including：Receiving module, come for receiving From the signal for carrying the unified midamble code pre-set of transmitting terminal；Processing module, for according to unified midamble code to signal Discrete Fourier transform DFT window synchronizations, Frequency Synchronization and subcarrier is carried out respectively to recover.
Preferably, the unified midamble code S carried in the signal that receiving module receives meets below equation：
Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, N Be equal to sub-carrier number for the length for unifying midamble code 2 times, x and y are two orthogonal polarisation states.
Preferably, the device also includes：Polarization removes rotary module, for being modulated in signal by polarization division multiplexing PDM In the case of, polarization is carried out to signal and removes rotation process.
By the present invention, in PDM-CO-OFDM systems, DFT is carried out to the signal of receiving terminal using same midamble code Window synchronization, Frequency Synchronization and subcarrier recover, and three kinds of different midamble codes must be used to receiving in the prior art by solving The signal at end is carried out the problem of DFT window synchronizations, Frequency Synchronization and subcarrier recover to cause OFDM frequency deviations utilization rate to reduce, and then The effect for the frequency deviation utilization rate for improving OFDM is reached.
Brief description of the drawings
Accompanying drawing described herein is used for providing a further understanding of the present invention, forms the part of the application, this hair Bright schematic description and description is used to explain the present invention, does not form inappropriate limitation of the present invention.In the accompanying drawings：
Fig. 1 is the schematic diagram according to the PDM-CO-OFDM systems of correlation technique；
Fig. 2 is signal acceptance method flow chart according to embodiments of the present invention；
Fig. 3 is that signal according to the preferred embodiment of the invention flows to schematic diagram；
Fig. 4 is that signal according to the preferred embodiment of the invention receives flow chart；
Fig. 5 is the structured flowchart of signal receiving device according to embodiments of the present invention；
Fig. 6 is the structured flowchart of signal receiving device according to the preferred embodiment of the invention.
Embodiment
Describe the present invention in detail below with reference to accompanying drawing and in conjunction with the embodiments.It should be noted that do not conflicting In the case of, the feature in embodiment and embodiment in the application can be mutually combined.
Fig. 2 is signal acceptance method flow chart according to embodiments of the present invention, as shown in Fig. 2 this method mainly include with Lower step (step S202- step S204)：
Step S202, receiving terminal receive the signal for the unified midamble code that carrying from transmitting terminal pre-sets；
Step S204, receiving terminal according to unified midamble code signal is carried out respectively discrete Fourier transform DFT window synchronizations, Frequency Synchronization and subcarrier recover.
In actual applications, before step S202, transmitting terminal can need unified midamble code insertion the data transmitted, The data after the unified midamble code of insertion are changed by digital analog converter DAC again, finally carried out the signal being converted to After modulation receiving terminal is sent to through optical channel.
Wherein, receiving the unified midamble code S carried in signal needs to meet below equation：
Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, N Be equal to sub-carrier number for the length for unifying midamble code 2 times, x and y are two orthogonal polarisation states.
In step S204, receiving terminal is same to signal progress discrete Fourier transform DFT windows according to unified midamble code During step, DFT window synchronizations can be carried out to signal according to below equation：
Wherein, [rM, x, rM, y]TM-th of sample value for sampling to obtain for analog-digital converter ADC；For the sync bit estimated Put；Max|d() represents that sliding variable d make it that the value of expression formula is maximum.
When receiving terminal carries out Frequency Synchronization according to unified midamble code to signal, line frequency can be entered to signal according to below equation Rate is synchronous：Wherein,For offset estimation value, Δ f is ADC sample frequencys.
When receiving terminal carries out subcarrier recovery according to unified midamble code to signal, each sub- load can be calculated according to below equation The channel frequency shock response of ripple：
Wherein, HXx, kFor the channel frequency shock response between k-th of subcarrier x emitter and x receivers, HXy, kFor kth Channel frequency shock response between individual subcarrier x emitters and y receivers, HYx, kConnect for k-th of subcarrier y emitter with x Channel frequency shock response between receipts machine, HYx, kChannel frequency punching between k-th of subcarrier y emitter and y receivers Hit response.
In actual applications, if transmitting terminal has carried out polarization division multiplexing before the signal is sent to the signal (PDM) modulate, after step s 204, receiving terminal can also carry out polarization to the signal and remove rotation process.
Fig. 3 is that signal according to the preferred embodiment of the invention flows to schematic diagram, as shown in figure 3, receiving terminal receives signal Afterwards, signal is demodulated first, the RF signals after demodulation is subjected to DAC conversions, then carry out DFT window synchronizations, synchronously completed Afterwards, cyclic prefix (Cycle Prefix) is removed, then, carries out serioparallel exchange (S → P), and carry out DFT.From after DFT Unified midamble code (Train Symbol) is removed in signal, channel estimation finally is carried out to signal.
Fig. 4 is that signal according to the preferred embodiment of the invention receives flow chart, as shown in figure 4, the flow mainly includes：
S402, carry out DFT window synchronizations；
S404, according to formula M (d)=| RD, x/SD, x|2+|RD, y/SD, y|2M (d) maximum is judged whether, if In the presence of, then S406 is performed, otherwise, execution S402；
S406, according to formulaCarry out Frequency Synchronization；
S408, according to formula
Carry out subcarrier recovery；
In above-mentioned flow, wherein：
Corresponding DFT window synchronizations, midamble code are meeting the relation of (1) as the following formula after IDFT：
Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, N Be equal to sub-carrier number for the length for unifying midamble code 2 times, x and y are two orthogonal polarisation states.
If [rM, x, rM, y]TM-th of sample value for sampling to obtain for receiving terminal ADC, if receiving terminal local oscillator and transmitting terminal carrier wave Frequency deviation is foff, OFDM subcarrier spacing Δ f, then (2) are shown as the following formula for reception signal：
Wherein,For the time domain impulse of channel Response.
According to a quarter before midamble code and second a quarter, the 3rd a quarter and the 4th a quarter Correlation feature, the reception data that length is N are divided into four sections, first paragraph and second segment carry out related operation, the 3rd section with 4th section of progress related operation, because the data of transmission are random signal, its correlation is 0, therefore only this N number of data is instruction Related operation can be only achieved maximum in the case of practicing code.
M(dx)=|RD, x/SD, x|2(3.1),
As shown from the above formula, M (d are caused when d changesx) when taking maximum, it is possible to obtain DFT window synchronizations position； During dual-polarization state, it can be attacked and then be taken two valuations to be averaged simultaneously two polarization states, it is possible thereby to realize DFT windows Mouth is synchronous.
For Frequency Synchronization, understood by formula (3.2) shown in relation equation below (4) of the signal after DFT window synchronizations：
By formula (4) Frequency deviation f can be obtainedoffEstimate for shown in equation below (5)：
During dual-polarization state, being averaged for two valuations can be taken, thus, it is possible to realize frequency Rate is synchronous.
Recover for subcarrier, from formula (1), the midamble code is following public equivalent to the midamble code added before IDFT Formula (6)：
Wherein, [cK, x, 1, cK, y, 1]TTrained for first OFDM and load data on k subcarrier of code sign, [cK, x, 2, cK, y, 2]TData are loaded on k subcarrier of second OFDM training code sign.
After it compensate for frequency deviation, reception signal meets the relation of equation below (7)：
DFT changes are carried out according to the preceding N/2 parts of N number of midamble code data of the formula (7) to receiving respectively with rear N/2 parts Change the data that can be obtained in former and later two OFDM symbols on each subcarrier：
Data on each subcarrier of receiving terminal can be obtained into channel compared with the data that transmitting terminal easy to know loads The shock response of frequency domain：
The signal acceptance method provided using above-described embodiment, the signal of receiving terminal is carried out by using same midamble code DFT window synchronizations, Frequency Synchronization and subcarrier recover, and solving must use three kinds of different midamble codes to dock in the prior art The signal of receiving end carries out the problem of DFT window synchronizations, Frequency Synchronization and subcarrier recover to cause OFDM frequency deviations utilization rate to reduce, and enters And the effect for the frequency deviation utilization rate for improving OFDM is reached.
Fig. 5 is the structured flowchart of signal receiving device according to embodiments of the present invention, and the device is used to realize above-mentioned implementation The signal acceptance method that example provides, as shown in figure 5, the device mainly includes：Receiving module 10 and processing module 20.Wherein, connect Module 10 is received, the signal of the unified midamble code pre-set for receiving carrying from transmitting terminal；Processing module 20, connection It is same for carrying out discrete Fourier transform DFT window synchronizations, frequency respectively to signal according to unified midamble code to receiving module 10 Step and subcarrier recover.
Preferably, the unified midamble code S carried in the signal that receiving module 10 receives meets below equation：
Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, N Be equal to sub-carrier number for the length for unifying midamble code 2 times, x and y are two orthogonal polarisation states.
In actual applications, it is preferable that processing module 20 is carrying out discrete fourier change according to unified midamble code to signal When changing DFT window synchronizations, DFT window synchronizations can be carried out to signal according to below equation：
Wherein, [rM, x, rM, y]TFor analog-digital converter ADC Sample m-th obtained of sample value；For the sync bit estimated；Max|d() represents to slide the value that variable d causes expression formula It is maximum.
Preferably, processing module 20, can be according to following public affairs when carrying out Frequency Synchronization to signal according to unified midamble code Formula carries out Frequency Synchronization to signal：Wherein,For offset estimation value, Δ f adopts for ADC Sample frequency.
Preferably, processing module 20, can be according to following when carrying out subcarrier recovery to signal according to unified midamble code Formula calculates the frequency domain shock response of each sub-carrier channels：
Fig. 6 is the structured flowchart of signal receiving device according to the preferred embodiment of the invention, as shown in fig. 6, the device is also It can include：Polarization removes rotary module 30, is connected to processing module 20, for being modulated in signal by polarization division multiplexing PDM In the case of, polarization is carried out to signal and removes rotation process.
The signal receiving device provided using above-described embodiment, the signal of receiving terminal is carried out by using same midamble code DFT window synchronizations, Frequency Synchronization and subcarrier recover, and solving must use three kinds of different midamble codes to dock in the prior art The signal of receiving end carries out the problem of DFT window synchronizations, Frequency Synchronization and subcarrier recover to cause OFDM frequency deviations utilization rate to reduce, and enters And the effect for the frequency deviation utilization rate for improving OFDM is reached.
As can be seen from the above description, the present invention realizes following technique effect：By using same midamble code pair The signal of receiving terminal carries out DFT window synchronizations, Frequency Synchronization and subcarrier and recovered, and must be used in the prior art by solving by three kinds Different midamble codes carries out DFT window synchronizations, Frequency Synchronization and subcarrier to the signal of receiving terminal and recovers to cause OFDM frequency deviations sharp The problem of being reduced with rate, and then improve the effect of OFDM frequency deviation utilization rate.
Obviously, those skilled in the art should be understood that above-mentioned each module of the invention or each step can be with general Computing device realize that they can be concentrated on single computing device, or be distributed in multiple computing devices and formed Network on, alternatively, they can be realized with the program code that computing device can perform, it is thus possible to they are stored Performed in the storage device by computing device, and in some cases, can be with different from shown in order execution herein The step of going out or describing, they are either fabricated to each integrated circuit modules respectively or by multiple modules in them or Step is fabricated to single integrated circuit module to realize.So, the present invention is not restricted to any specific hardware and software combination.
The preferred embodiments of the present invention are the foregoing is only, are not intended to limit the invention, for the skill of this area For art personnel, the present invention can have various modifications and variations.Within the spirit and principles of the invention, that is made any repaiies Change, equivalent substitution, improvement etc., should be included in the scope of the protection.

Claims (8)

  1. A kind of 1. signal processing method, it is characterised in that including：
    Receiving terminal receives the signal for the unified midamble code that carrying from transmitting terminal pre-sets；
    The receiving terminal according to the unified midamble code signal is carried out respectively discrete Fourier transform DFT window synchronizations, Frequency Synchronization and subcarrier recover；
    Wherein, receive the unified midamble code S carried in the signal and meet below equation：
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    Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, N Be equal to sub-carrier number for the length for unifying midamble code 2 times, x and y are two orthogonal polarisation states.
  2. 2. according to the method for claim 1, it is characterised in that receive carrying from transmitting terminal in receiving terminal and set in advance Before the signal for the unified midamble code put, including：
    The data that the unified midamble code insertion is needed to transmit by the transmitting terminal；
    The transmitting terminal is changed the data after inserting the unified midamble code by digital analog converter DAC；
    The transmitting terminal through channel is sent to the receiving terminal after the signal being converted to is modulated.
  3. 3. according to the method for claim 1, it is characterised in that in the receiving terminal according to the unified midamble code to described After signal carries out discrete Fourier transform DFT window synchronizations, Frequency Synchronization and subcarrier recovery respectively, including：
    In the case where the signal is by the PDM modulation of polarization division multiplexing, polarization is carried out to the signal and removes rotation process.
  4. 4. the method according to claim 1 or 3, receiving terminal carries out discrete Fu according to the unified midamble code to the signal In leaf transformation DFT window synchronizations, including：
    The DFT window synchronizations are carried out to the signal according to below equation：
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    <mrow> <msub> <mi>R</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> <mo>=</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> <mo>*</mo> </msubsup> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>,</mo> <mi>y</mi> </mrow> </msub> <mo>+</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>m</mi> <mo>=</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>1</mn> </mrow> <mrow> <mn>3</mn> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> <mo>*</mo> </msubsup> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>,</mo> <mi>y</mi> </mrow> </msub> <mo>,</mo> </mrow>
    <mrow> <msub> <mi>S</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> <mo>=</mo> <msqrt> <mrow> <mo>(</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>,</mo> <mi>x</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> <mo>(</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>4</mn> <mo>,</mo> <mi>x</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> </mrow> </msqrt> <mo>+</mo> <msqrt> <mrow> <mo>(</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>,</mo> <mi>x</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> <mo>(</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mn>3</mn> <mi>N</mi> <mo>/</mo> <mn>4</mn> <mo>,</mo> <mi>x</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> </mrow> </msqrt> <mo>,</mo> </mrow>
    <mrow> <msub> <mi>S</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> <mo>=</mo> <msqrt> <mrow> <mo>(</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> <mo>(</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>4</mn> <mo>,</mo> <mi>y</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> </mrow> </msqrt> <mo>+</mo> <msqrt> <mrow> <mo>(</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>,</mo> <mi>y</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> <mo>(</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>4</mn> </mrow> </munderover> <mo>|</mo> <msubsup> <mi>r</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>d</mi> <mo>+</mo> <mn>3</mn> <mi>N</mi> <mo>/</mo> <mn>4</mn> <mo>,</mo> <mi>y</mi> </mrow> <mn>2</mn> </msubsup> <mo>|</mo> <mo>)</mo> </mrow> </msqrt> <mo>,</mo> </mrow>
    <mrow> <mover> <mi>d</mi> <mo>^</mo> </mover> <mo>=</mo> <mfrac> <mrow> <mi>M</mi> <mi>a</mi> <mi>x</mi> <msub> <mo>|</mo> <mi>d</mi> </msub> <mrow> <mo>(</mo> <msup> <mrow> <mo>|</mo> <mrow> <msub> <mi>R</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> <mo>/</mo> <msub> <mi>S</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mrow> <mo>|</mo> </mrow> <mn>2</mn> </msup> <mo>)</mo> </mrow> <mo>+</mo> <mi>M</mi> <mi>a</mi> <mi>x</mi> <msub> <mo>|</mo> <mi>d</mi> </msub> <mrow> <mo>(</mo> <msup> <mrow> <mo>|</mo> <mrow> <msub> <mi>R</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> <mo>/</mo> <msub> <mi>S</mi> <mrow> <mi>d</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mrow> <mo>|</mo> </mrow> <mn>2</mn> </msup> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mo>,</mo> </mrow>
    Wherein, [rm,x,rm,y]TM-th of sample value for sampling to obtain for analog-digital converter ADC；For the sync bit estimated；Max |d() represents that sliding variable d make it that the value of expression formula is maximum.
  5. 5. according to the method for claim 4, it is characterised in that the receiving terminal is according to the unified midamble code to the letter Number carry out Frequency Synchronization, including：
    The Frequency Synchronization is carried out to the signal according to below equation：
    Wherein,For offset estimation value, △ f are ADC sample frequencys.
  6. 6. subcarrier according to the method for claim 1, is carried out to the signal according to the unified midamble code in receiving terminal Recover, including：
    Sub-carrier is calculated according to below equation：
    <mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>H</mi> <mrow> <mi>x</mi> <mi>x</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mfenced open = "|" close = "|"> <mtable> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>&amp;Delta;</mi> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>H</mi> <mrow> <mi>x</mi> <mi>y</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mfenced open = "|" close = "|"> <mtable> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>&amp;Delta;</mi> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>H</mi> <mrow> <mi>y</mi> <mi>x</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mfenced open = "|" close = "|"> <mtable> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>&amp;Delta;</mi> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>H</mi> <mrow> <mi>y</mi> <mi>y</mi> <mo>,</mo> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mfrac> <mfenced open = "|" close = "|"> <mtable> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>&amp;Delta;</mi> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> <mi>&amp;Delta;</mi> <mo>=</mo> <mfenced open = "|" close = "|"> <mtable> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>,</mo> </mrow>
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>2</mn> </mrow> </munderover> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>exp</mi> <mo>-</mo> <mi>j</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>4</mn> <mi>&amp;pi;</mi> </mrow> <mi>N</mi> </mfrac> <mo>(</mo> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>(</mo> <mrow> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>C</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>exp</mi> <mo>-</mo> <mi>j</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>4</mn> <mi>&amp;pi;</mi> </mrow> <mi>N</mi> </mfrac> <mo>(</mo> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>(</mo> <mrow> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow> <mi>N</mi> <mo>/</mo> <mn>2</mn> </mrow> </munderover> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>r</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>exp</mi> <mo>-</mo> <mi>j</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>4</mn> <mi>&amp;pi;</mi> </mrow> <mi>N</mi> </mfrac> <mo>(</mo> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>(</mo> <mrow> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>x</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>k</mi> <mo>,</mo> <mi>y</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>m</mi> <mo>=</mo> <mi>N</mi> <mo>/</mo> <mn>2</mn> <mo>+</mo> <mn>1</mn> </mrow> <mi>N</mi> </munderover> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>R</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mi>exp</mi> <mo>-</mo> <mi>j</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>4</mn> <mi>&amp;pi;</mi> </mrow> <mi>N</mi> </mfrac> <mo>(</mo> <mrow> <mi>k</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>(</mo> <mrow> <mi>m</mi> <mo>-</mo> <mn>1</mn> </mrow> <mo>)</mo> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
    Wherein, Hxx,kFor the channel frequency shock response between k-th of subcarrier x emitter and x receivers, Hxy,kFor k-th of son Channel frequency shock response between carrier wave x emitters and y receivers, Hyx,kFor k-th of subcarrier y emitter and x receivers Between channel frequency shock response, Hyy,kChannel frequency impact between k-th of subcarrier y emitter and y receivers rings Should；
    Subcarrier recovery is carried out to the signal according to the sub-carrier.
  7. A kind of 7. signal processing apparatus, it is characterised in that including：
    Receiving module, the signal of the unified midamble code pre-set for receiving carrying from transmitting terminal；
    Processing module, it is same for carrying out discrete Fourier transform DFT windows respectively to the signal according to the unified midamble code Step, Frequency Synchronization and subcarrier recover；
    Wherein, the unified midamble code S carried in the signal that the receiving module receives meets below equation：
    <mrow> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <mo>=</mo> <mfenced open = "[" close = "]"> <mtable> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>4</mn> <mo>,</mo> <mi>x</mi> </mrow> </msub> </mtd> </mtr> <mtr> <mtd> <msub> <mi>s</mi> <mrow> <mi>m</mi> <mo>+</mo> <mi>N</mi> <mo>/</mo> <mn>4</mn> <mo>,</mo> <mi>y</mi> </mrow> </msub> </mtd> </mtr> </mtable> </mfenced> <msup> <mi>e</mi> <mrow> <mi>j</mi> <mi>&amp;theta;</mi> </mrow> </msup> <mo>,</mo> <mn>1</mn> <mo>&amp;le;</mo> <mi>m</mi> <mo>&amp;le;</mo> <mfrac> <mi>N</mi> <mn>4</mn> </mfrac> <mo>,</mo> </mrow>
    Wherein, m represents the sequence number of midamble code, and θ is any angle not equal to k π, and N is The length of the unified midamble code is equal to 2 times of sub-carrier number, and x and y are two orthogonal polarisation states.
  8. 8. device according to claim 7, it is characterised in that described device also includes：
    Polarization removes rotary module, and in the case of in the signal by the PDM modulation of polarization division multiplexing, the signal is entered Row polarization removes rotation process.
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CN102006261A (en) * 2010-12-09 2011-04-06 北京邮电大学 Channel estimating method for increasing performance of coherent light communication system

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CN101119350A (en) * 2006-08-02 2008-02-06 华为技术有限公司 OFDM system, fast synchronous method and sending terminal equipment
CN102006261A (en) * 2010-12-09 2011-04-06 北京邮电大学 Channel estimating method for increasing performance of coherent light communication system

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