CN105847215A - Phase retrieval method in coherent optical fiber communication system - Google Patents
Phase retrieval method in coherent optical fiber communication system Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
- H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
- H04L27/38—Demodulator circuits; Receiver circuits
- H04L27/3845—Demodulator circuits; Receiver circuits using non - coherent demodulation, i.e. not using a phase synchronous carrier
- H04L27/3854—Demodulator circuits; Receiver circuits using non - coherent demodulation, i.e. not using a phase synchronous carrier using a non - coherent carrier, including systems with baseband correction for phase or frequency offset
- H04L27/3872—Compensation for phase rotation in the demodulated signal
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Abstract
The invention discloses a phase retrieval method in coherent optical fiber communication system, and relates to the field of communication technologies. The method comprises the steps of partitioning a complex signal after frequency offset is retrieved into blocks, and dividing the blocks into three classes respectively being C1, C2 and C3 according to different amplitudes; in each data block, rotating each piece of original data belonging to C1 and C3 for four angles, wherein the rotation angles respectively are -beta/4, -beta/8, 0 and beta, and the rotated data is subjected to signal retrieval judgment; putting data before and after judgment into an error function, and working out the error value of each piece of data at each rotation angle; at each rotation angle, summing the error values obtained by every data block, and thus obtaining total error values which are respectively denoted as s1, s2, s3 and s4; and according to different value conditions, computing a phase estimated value of each data block, descrambling the different phase estimated values, and then compensating into the original data of each data block, thus achieving the phase retrieval. The method provided by the invention is very low in overall complexity and easy to implement.
Description
Technical field
The present invention relates to communication technical field, be specifically in a kind of coherent fiber communication system
Phase recovery method.
Background technology
It is 100Gbps and the transmission of above signal to realize transfer rate, presently the most preferable
Settling mode, it is simply that use the coherent fiber communication of 16QAM modulation format of palarization multiplexing
Technology, and tie mutually with Digital Signal Processing (digital signal processing, DSP) technology
Closing, the receiving terminal in system uses DSP treatment technology to recover phase place.
In dsp, need to use carrier phase to estimate (carrier phase estimation, CPE)
Method estimate the size of phase noise in signal, then compensate for back, just obtain phase place extensive
Multiple signal.Carrier phase recovery (carrier phase recovery, CPR) is to sentence in data
A step particularly critical before certainly.
At present, there is many phase estimation methods, be widely used that blind phase place search method
(blind phase search, BPS), this algorithm goes for the letter of more modulation form
Number, as long as and test angles number take abundant, it is possible to obtain the highest estimated accuracy, but
It is, and shortcoming is that complexity is the highest, be not easy to realize.
Summary of the invention
For defect present in prior art, it is an object of the invention to provide a kind of coherent light
Phase recovery method in fiber communication system, overall complexity is the lowest, it is easy to accomplish, it is suitable for real
Receiving terminal DSP Processing Algorithm in Shi Xianggan optical fiber telecommunications system.
For reaching object above, the present invention takes the phase place in a kind of coherent fiber communication system extensive
Compound recipe method, including step:
16QAM complex signal after frequency deviation is recovered by step 1. carries out piecemeal, each data block
There is N1Individual data, the amplitude according to complex signal is different, is classified as C1、C2And C3
Three classes；
Step 2., in each data block, belongs to C to each1And C3Initial data, all do
The rotation of four angles, the anglec of rotation is respectively-π/4 ,-π/8,0 and π/8, to postrotational number
Judgement is recovered according to carrying out signal；
Step 3. brings the data before judgement and after judgement into error function, calculates each data and exists
The error amount of four anglecs of rotation；
Step 4. is in each anglec of rotation, and in each data block, the described error amount obtained is asked
With, obtain aggregated error value, be designated as s1, s2, s3 and s4 respectively；
Step 5. calculates the phase estimation value of each data block, as s1 ＜ s3 and s2≤s4,
(s1 ,-π/4) and (s4 ,-3 π/8) place straight line and (s2 ,-π/8) and (s3,0) institute
In the angle that the intersection point of straight line is corresponding, it is phase estimation value；As s1 >=s3 and s2 ＜ s4,
(s1 ,-π/4) and (s2 ,-π/8) place straight line and (s3,0) and (s4, π/8) place
The angle that the intersection point of straight line is corresponding, is phase estimation value；As s1 ＞ s3 and s2 >=s4,
(s2 ,-π/8) and (s3,0) place straight line and (s4, π/8) and (s1, π/4) place
The angle that the intersection point of straight line is corresponding, is phase estimation value；As s1≤s3 and s2 ＞ s4,
(s1, π/4) and (s2,3 π/8) place straight line and (s3,0) and (s4, π/8) place
The angle that the intersection point of straight line is corresponding, is phase estimation value；
The phase estimation value of different pieces of information block is descrambled by step 6., then by the phase place after descrambling
Estimated value compensates in the initial data of each data block, it is achieved phase recovery.
On the basis of technique scheme, in step 1, for normalized signal, less than
One threshold valuesData be C1, more than the second threshold valuesData be C3, it is more than
First threshold valuesAnd less than the second threshold valuesData be C2。
On the basis of technique scheme, in step 2, in each data block, belong to C1
And C3Initial data be yk, the postrotational data of angle areWherein k represents
Several data, and 0 ＜ k ＜ N1, j represents imaginary unit, φbRepresenting the anglec of rotation, b represents the
Several anglecs of rotation, and 1≤b≤4.
On the basis of technique scheme, in step 3, take the front complex signal of judgement respectively
Real part RkWith imaginary part Ik, take the real part [R of complex signal after judgement respectivelyk]DWith imaginary part [Ik]D,
According to ek=| Rk-[Rk]D|+|Ik-[Ik]D|, obtain error amount ek。
On the basis of technique scheme, the real part of complex signal before described judgementImaginary partComplex signal after judgement
Real partImaginary part
φbRepresent the anglec of rotation.
On the basis of technique scheme, in step 4, pass through formula
Obtain aggregated error value sb, wherein which anglec of rotation b represents, and k represents which data, N
Represent C in each data block1And C3Data amount check.
On the basis of technique scheme,
During s1 ＜ s3 and s2≤s4, phase estimation value
When s1 >=s3 and s2 ＜ s4, phase estimation value
During s1 ＞ s3 and s2 >=s4, phase estimation value
When s1≤s3 and s2 ＞ s4, phase estimation value
On the basis of technique scheme, after step 6, carry out following steps, step
7. the data piecemeal again that pair step 6 is recovered, makes each data block have N2Individual data, and
N2For the integer more than 1；Step 8. belongs to C in fast for each data2The equal anglec of rotation of data
Degree u θrot, the data that obtain after rotationWherein u=sign (I)
Sign (Q) sign (| I |-| Q |), θrot=π/4-atan (1/3), I, Q are respectively and belong to
In C2The real part of each data and imaginary part；Step 9. is to C1、C2' and C3Each data equal
Do 4 rank absolute value operation, the 4 rank absolute value result summations that each data block is obtained, then take
Phase angle after summation, divided by the phase estimation value obtaining each data block after 4；Step 10.
After each phase estimation angle is done operation of allaying sorrow, obtain final phase estimation value, compensate step
In rapid 6 data recovered, recover original phase.
On the basis of technique scheme, described N2Value obtained by emulation testing,
N2=16.
On the basis of technique scheme, to C1、C2' and C3Each data rKDo 4
Rank absolute value operation, obtains r4,K, wherein K represents which data point, and 0 ＜ K ＜ N2。
The beneficial effects of the present invention is: have only to do the rotary test of four angles, and lead to
The formula crossing error function calculates, and the computing formula of error function is the simplest, it is not necessary to multiplication
Device, greatly reduces complexity, it is easy to accomplish, it is suitable in real-time coherent fiber communication system connecing
Receiving end DSP Processing Algorithm.It addition, on this basis, it is also possible to piecemeal again, use changes
The V&V algorithm entered, on the premise of ensureing low complex degree, is effectively improved estimated accuracy.
Accompanying drawing explanation
Fig. 1 is the schematic diagram of the phase recovery method in coherent fiber communication system of the present invention；
Fig. 2 is that the inventive method combines the phase restoration methods signal improving V&V algorithm
Figure；
Fig. 3 is under 28-Gbaud 16QAM coherent optical communication system, data block length of the present invention
N1The graph of relation long-pending with live width code-element period；
Fig. 4 is under 28-Gbaud 16QAM coherent optical communication system, the inventive method, this
Bright with improve the cascade of V&V algorithm, V&V algorithm and BPS algorithm, be respectively used to phase place and estimate
The graph of relation that meter gained signal to noise ratio is long-pending with live width code-element period；
Fig. 5 is under 28-Gbaud 16QAM coherent optical communication system, the inventive method, this
Bright with improve the cascade of V&V algorithm, V&V algorithm and BPS algorithm, be respectively used to phase place and estimate
The meter gained bit error rate and the graph of relation of signal to noise ratio.
Detailed description of the invention
Below in conjunction with drawings and Examples, the present invention is described in further detail.
As it is shown in figure 1, the phase recovery method in coherent fiber communication system in the present invention, tool
Body comprises the steps:
16QAM complex signal after frequency deviation is recovered by step 1. carries out piecemeal, each data block
There is N1Individual data, i.e. block length are N1, N1For the integer more than 1, from the figure 3, it may be seen that
Under the signal to noise ratio cost of 1dB, optimal block length N1Take 32.Then according to the width of complex signal
Value difference, is classified as C1、C2And C3Three classes.Concrete, for normalized signal, little
In the first threshold valuesData be C1, more than the second threshold valuesData be C3,
More than the first threshold valuesAnd less than the second threshold valuesData be C2。
Step 2., in each data block, belongs to C to each1And C3Initial data yk, all
Doing four angles to rotate, the anglec of rotation is respectively-π/4 ,-π/8,0 and π/8, is equivalent to each former
Beginning data replicate four parts, rotate four angles respectively, and the postrotational data of angle are
Wherein k represents which data, and 0 ＜ k ＜ N1, j represents complex signal, φbRepresent rotation
Corner, b represents which anglec of rotation, and 1≤b≤4.Again postrotational data are carried out letter
Number recover judgement, the signal after being adjudicatedWherein represent with lower footnote D and sentence
Signal after Jue.
Step 3. takes the real part R of the front complex signal of judgement respectivelykWith imaginary part Ik, Take the real part of complex signal after judgement respectively
[Rk]DWith imaginary part [Ik]D,Imaginary part Bring the data before judgement and after judgement into error function, according to by mistake
Difference ek=| Rk-[Rk]D|+|Ik-[Ik]D|, obtain each data four anglecs of rotation
Error amount.
Step 4. is in each anglec of rotation, in each data block, and the N number of error amount obtained
Summation, passes through formulaObtain aggregated error value sb, wherein b represent which
The anglec of rotation, which data k represents, N represents C in each data block1And C3Data
Number, each belongs to C1And C3The all corresponding e of datak,b.Further, it is-π/4 by the anglec of rotation
Aggregated error value s obtainedbBeing designated as s1, the anglec of rotation is aggregated error value s that-π/8 obtainbIt is designated as s2,
The anglec of rotation is 0 aggregated error value s obtainedbBeing designated as s3, the anglec of rotation is the aggregated error value that π/8 obtain
sbIt is designated as s4.
Step 5. calculates the phase estimation value of each data block
As s1 < s3 and s2≤s4, (s1 ,-π/4) and (s4 ,-3 π/8) place straight line with
The angle that the intersection point of (s2 ,-π/8) and (s3,0) place straight line is corresponding, for phase estimation
Value；That is,
When s1>=s3 and s2<during s4, (s1 ,-π/4) and (s2 ,-π/8) place straight line with
The angle that the intersection point of (s3,0) and (s4, π/8) place straight line is corresponding, for phase estimation value；
That is,
As s1 > s3 and s2 >=s4 time, (s2 ,-π/8) and (s3,0) place straight line with (s4,
π/8) and angle corresponding to the intersection point of (s1, π/4) place straight line, for phase estimation value；
That is,
As s1≤s3 and s2 > s4 time, (s1, π/4) and (s2,3 π/8) place straight line with
The angle that the intersection point of (s3,0) and (s4, π/8) place straight line is corresponding, for phase estimation value；
That is,
The step 6. phase estimation value to different pieces of information blockDescramble, then by the phase after descrambling
Position estimated value compensates in the initial data of each data block, the data after being compensatedRealize phase recovery.
Above-mentioned steps computing formula is the simplest, it is not necessary to multiplier, greatly reduces complexity,
It is easily achieved.
As in figure 2 it is shown, on the basis of the above-described procedure, it is also possible to cascade improves V&V further
Algorithm, the improvement V&V algorithm of cascade specifically comprises the following steps that
The data that step 6 is recovered by step 7.Piecemeal again, makes each data block
There is N2Individual data, and N2For the integer more than 1；Concrete, described N2Value by
Emulation testing obtains, optimal block length N2=16.
Step 8. will belong to C2Each data rotation angle u θrot, obtain after rotationWherein, θrot=π/4-atan (1/3), u=sign (I)
Sign (Q) sign | I |-| Q |), I, Q respectively belong to C2The real part of each data and void
Portion.
Step 9. is to C1、C2' and C3Each data rK, all do 4 rank absolute value operation,
Obtain r4,K, 0 ＜ K ＜ N2, the 4 rank absolute value results obtaining each data block are sued for peace, and subtract
Little effect of noise, then take the phase angle after summation, divided by the phase obtaining each data block after 4
Position estimated value.
After operation of allaying sorrow is done at each phase estimation angle by step 10., obtain final phase estimation
Value, compensates the data that step 6 is recoveredIn, recover original phase.
Step 7, to step 10, can be effectively improved on the premise of ensureing low complex degree
Estimated accuracy.This method can also be generalized in high-order QAM modulation form, similar 16QAM
Process, it is only necessary to use QPSK cutting techniques, select the constellation point of QPSK position,
As phase estimation.
As shown in Figure 4, under 28-Gbaud 16QAM coherent optical communication system, side of the present invention
Method, the present invention and the cascade of improvement V&V algorithm, V&V algorithm and BPS algorithm, use respectively
In long-pending (the Δ ν T of phase estimation gained signal to noise ratio and live width code-element periods) graph of relation.
During emulation, target error rate is 10-3, all block lengths are all the optimum length of each algorithm.By scheming
3 it can be seen that the present invention method use time, performance and V&V algorithm are close, the present invention
When the V&V algorithm of method and improvement is combined, the BPS algorithm of performance and 32 test angles connects
Closely.
As it is shown in figure 5, under 28-Gbaud 16QAM coherent optical communication system, side of the present invention
Method, the present invention and the cascade of improvement V&V algorithm, V&V algorithm and BPS algorithm, use respectively
Graph of relation in the phase estimation gained bit error rate Yu signal to noise ratio.During emulation, live width code element week
Phase amasss Δ ν Ts=1 × 10-4.As seen from Figure 4, when the inventive method is used alone,
Performance and V&V algorithm are close, when the V&V algorithm of the inventive method and improvement is combined, and property
Can be close with the BPS algorithm of 32 test angles.
The present invention is not limited to above-mentioned embodiment, for those skilled in the art
For, under the premise without departing from the principles of the invention, it is also possible to make some improvements and modifications,
Within these improvements and modifications are also considered as protection scope of the present invention.This specification is not made in detail
The content described belongs to prior art known to professional and technical personnel in the field.
Claims (10)
1. the phase recovery method in a coherent fiber communication system, it is characterised in that bag
Include step:
16QAM complex signal after frequency deviation is recovered by step 1. carries out piecemeal, each data block
There is N1Individual data, the amplitude according to complex signal is different, is classified as C1、C2And C3
Three classes；
Step 2., in each data block, belongs to C to each1And C3Initial data, all do
The rotation of four angles, the anglec of rotation is respectively-π/4 ,-π/8,0 and π/8, to postrotational number
Judgement is recovered according to carrying out signal；
Step 3. brings the data before judgement and after judgement into error function, calculates each data and exists
The error amount of four anglecs of rotation；
Step 4. is in each anglec of rotation, and in each data block, the described error amount obtained is asked
With, obtain aggregated error value, be designated as s1, s2, s3 and s4 respectively；
Step 5. calculates the phase estimation value of each data block,
As s1 ＜ s3 and s2≤s4, (s1 ,-π/4) and (s4 ,-3 π/8) place straight line with
The angle that the intersection point of (s2 ,-π/8) and (s3,0) place straight line is corresponding, is phase estimation
Value；
As s1 >=s3 and s2 ＜ s4, (s1 ,-π/4) and (s2 ,-π/8) place straight line with (s3,
0) and angle corresponding to the intersection point of (s4, π/8) place straight line, it is phase estimation value；
As s1 ＞ s3 and s2 >=s4, (s2 ,-π/8) and (s3,0) place straight line with (s4,
π/8) and angle corresponding to the intersection point of (s1, π/4) place straight line, it is phase estimation value；
As s1≤s3 and s2 ＞ s4, (s1, π/4) and (s2,3 π/8) place straight line with (s3,
0) and angle corresponding to the intersection point of (s4, π/8) place straight line, it is phase estimation value；
The phase estimation value of different pieces of information block is descrambled by step 6., then by the phase place after descrambling
Estimated value compensates in the initial data of each data block, it is achieved phase recovery.
2. the phase recovery method in coherent fiber communication system as claimed in claim 1,
It is characterized in that: in step 1, for normalized signal, less than the first threshold valuesNumber
According to for C1, more than the second threshold valuesData be C3, more than the first threshold valuesAnd
Less than the second threshold valuesData be C2。
3. the phase recovery method in coherent fiber communication system as claimed in claim 1,
It is characterized in that: in step 2, in each data block, belong to C1And C3Initial data be
yk, the postrotational data of angle areWherein k represents which data, and 0 ＜ k
＜ N1, j represents imaginary unit, φbRepresenting the anglec of rotation, b represents which anglec of rotation, and 1
≤b≤4。
4. the phase recovery method in coherent fiber communication system as claimed in claim 3,
It is characterized in that: in step 3, take the real part R of the front complex signal of judgement respectivelykWith imaginary part Ik,
Take the real part [R of complex signal after judgement respectivelyk]DWith imaginary part [Ik]D, according to ek=
|Rk-[Rk]D|+|Ik-[Ik]D|, obtain error amount ek。
5. the phase recovery method in coherent fiber communication system as claimed in claim 4,
It is characterized in that: the real part of complex signal before described judgementImaginary partThe real part of complex signal after judgement Imaginary partφbRepresent the anglec of rotation.
6. the phase recovery method in coherent fiber communication system as claimed in claim 4,
It is characterized in that: in step 4, pass through formulaObtain aggregated error value sb,
Wherein which anglec of rotation b represents, and which data k represents, N represents in each data block
C1And C3Data amount check.
7. the phase recovery method in coherent fiber communication system as claimed in claim 1,
It is characterized in that:
During s1 ＜ s3 and s2≤s4, phase estimation value
When s1 >=s3 and s2 ＜ s4, phase estimation value
During s1 ＞ s3 and s2 >=s4, phase estimation value
When s1≤s3 and s2 ＞ s4, phase estimation value
8. the phase recovery method in coherent fiber communication system as claimed in claim 1,
It is characterized in that: after step 6, carry out following steps,
The data piecemeal again that step 6 is recovered by step 7., makes each data block have N2Individual
Data, and N2For the integer more than 1；
Step 8. belongs to C in fast for each data2Data equal anglec of rotation u θrot, after rotation
The data obtainedWherein u=sign (I) sign (Q)
Sign (| I |-| Q |), θrot=π/4-atan (1/3), I, Q respectively belong to C2Each
The real part of data and imaginary part；
Step 9. is to C1、C2' and C3Each data all do 4 rank absolute value operation, to often
The 4 rank absolute value result summations that individual data block obtains, then take the phase angle after summation, divided by 4
After obtain the phase estimation value of each data block；
After operation of allaying sorrow is done at each phase estimation angle by step 10., obtain final phase estimation
Value, compensates in the data that step 6 is recovered, recovers original phase.
9. the phase recovery method in coherent fiber communication system as claimed in claim 8,
It is characterized in that: described N2Value obtained by emulation testing, N2=16.
10. the phase recovery method in coherent fiber communication system as claimed in claim 8,
It is characterized in that: to C1、C2' and C3Each data rKDo 4 rank absolute value operation,
To r4,K, wherein K represents which data point, and 0 ＜ K ＜ N2。
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| CN108965194A (en) * | 2018-08-16 | 2018-12-07 | 北京邮电大学 | A kind of method and device that signal phase restores |
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