CN106059679B - A kind of phase compensating method for the conversion of optical event modulus in tension - Google Patents
A kind of phase compensating method for the conversion of optical event modulus in tension Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
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- H—ELECTRICITY
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- H04B—TRANSMISSION
- H04B10/00—Transmission systems employing electromagnetic waves other than radio-waves, e.g. infrared, visible or ultraviolet light, or employing corpuscular radiation, e.g. quantum communication
- H04B10/60—Receivers
- H04B10/61—Coherent receivers
- H04B10/616—Details of the electronic signal processing in coherent optical receivers
- H04B10/6165—Estimation of the phase of the received optical signal, phase error estimation or phase error correction
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- 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
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Abstract
The invention discloses a kind of phase compensating method for the conversion of optical event modulus in tension, belong to field of photoelectric technology, power attenuation and phase distortion caused by solving the problems, such as dispersion in the prior art.The present invention comprises the following steps that：(1) stretch signal is obtained, that is, obtains the time domain data after time domain stretching；(2) time domain data of stretch signal is subjected to Fourier transformation and obtains spectrum distribution；(3) the positive and negative frequency of spectrum distribution point is multiplied by corresponding phase compensating factor, the frequency spectrum after being compensated；(4) inverse Fourier transform is done to the frequency spectrum after compensation, obtains the time-domain signal of no phase offset distortion.The present invention is used to realize symbol recovery of the wide-band microwave signal without phase-shift distortion, improves the analog bandwidth of system.
Description
Technical field
A kind of phase compensating method for the conversion of optical event modulus in tension, for realizing wide-band microwave signal without phase shift
The symbol recovery of distortion, the analog bandwidth of system is improved, belongs to field of photoelectric technology.
Background technology
Analog-digital converter (ADC, Analog-to-digital converter) is Digital Signal Processing (DSP, Digital
Signal Processing) in one of Primary Component, because carrier transport speed has physics limit, electronics ADC is difficult
Broadband, high speed, high-precision breakthrough are realized simultaneously, constrains DSP further development.In order to overcome electronic bottleneck to turn modulus
The limitation of parallel operation performance, various optics modulus conversion techniques are successively suggested, and they take full advantage of light pulse high speed, low time
The characteristics such as shake, there are great potentiality in terms of high speed, sampling with high precision quantization is realized.In numerous optical analog-to-digital converters
In scheme, optical event modulus in tension converter (PTS-ADC, Photonic time-stretch ADC) combines well
The advantage of photon and electronics, broadband, high speed, high precision analogue conversion can be realized simultaneously, obtains extensive concern in recent years, its work
It is as principle：Microwave signal is carried to high-speed light by optical dispersion effect and carries out time-stretching and down conversion process, recycles and drops
The low speed that matches after frequency and high-precision electronic ADC completes analog-to-digital conversion, so as to effectively improve electronics ADC sampling rate
And analog bandwidth.
In order to lift sampling rate and analog bandwidth as much as possible, it is necessary to increase optical event draw ratio, this will
Ask PTS-ADC systems that there is high optical dispersion.It is similar with light load MTL microwave transmission link, using traditional double sideband modulation
Optical event drawing process is larger especially for optical dispersion there is also power dissipation concerns caused by dispersion in PTS-ADC
Situation, power attenuation caused by dispersion can seriously reduce the signal to noise ratio (SNR, Signal-to-noise ratio) of signal, and
And the distortion of wide-band microwave signal can be caused, how to be to determine to fill efficiently against power attenuation caused by dispersion therefore
A key issue of PTS-ADC advantages is waved in distribution.At present, Phase diversity technology is most common solution.It is based on single
Arm drives the dual-port dispersion power attenuation complementary characteristic of dual output M-Z electrooptic modulators, merges algorithm in conjunction with maximum ratio
(Y.Han, O.Boyraz, et al.Ultrawide-band photonic time-stretch A/D converter
employing phase diversity.IEEE Transactions on Microwave Theory and
Techniques, 2005,53 (4):1404-1408) or backwards to transmission algorithm (J.Stigwall, S.Galt.Signal
reconstruction by phase retrieval and optical backpropagation in phase-
Diverse photonic time-stretch systems.Journal of Lightwave Technology, 2007,25
(10):Signal to noise ratio deterioration and distorted signals 3017-3027) are eliminated, but is two transmission link needs the shortcomings that its is maximum
It is full symmetric, add the complexity of system.
The content of the invention
The present invention provides a kind of phase compensation side for the conversion of optical event modulus in tension for above-mentioned weak point
Method, power attenuation and phase distortion caused by solving the problems, such as dispersion in the prior art.
To achieve these goals, the technical solution adopted by the present invention is：
A kind of phase compensating method for the conversion of optical event modulus in tension, it is characterised in that comprise the following steps that：
(1) stretch signal is obtained, that is, obtains the time domain data after time domain stretching；
(2) time domain data of stretch signal is subjected to Fourier transformation and obtains spectrum distribution；
(3) the positive and negative frequency of spectrum distribution point is multiplied by corresponding phase compensating factor, the frequency spectrum after being compensated；
(4) inverse Fourier transform is done to the frequency spectrum after compensation, obtains the time-domain signal of no phase offset distortion.
Further, in the step (1), concretely comprising the following steps for stretch signal is obtained：
(11) it is corresponding with the time linear by the first dispersive medium formation wavelength to produce ultrashort light pulse for mode-locked laser
Chirped optical pulse；
(12) microwave signal is inputted, microwave signal is divided into two-way, is loaded directly into dual drive M-Z electrooptic modulators all the way
One arm, another way load another arm of dual drive M-Z electrooptic modulators, linear chrip after electric bridge realizes 90 ° of phase shifts
Microwave signal is modulated at chirped optical pulse by light pulse by dual drive M-Z electrooptic modulators in a manner of single sideband modulation
On envelope, output light carries microwave signal；
(13) light load microwave signal passes through the second dispersive medium, time domain stretching is carried out using effect of dispersion, after obtaining stretching
Light carry microwave signal；
(14) light after stretching carries microwave signal and completes photoelectricity by photodetector and electronic analogue-to-digital converter successively again
Conversion and sample quantization, obtain digitized stretch signal.
Further, in the step (13), light carries microwave signal and passes through the second dispersive medium, when being carried out using effect of dispersion
Domain stretches, and the formula of stretching is：
M=(D1+D2)/D1；
Wherein, D1For the total dispersion amount of the first dispersive medium, D2For the total dispersion amount of the second dispersive medium, M stretches for time domain
Multiple.
Further, in the step (14), when it is simple signal to input microwave signal, the output photoelectric of photodetector
Flow and be：
Wherein, Ienv(T) when being no modulated signal light carrier photoelectric current, m is the index of modulation, ωRFFor microwave signal
Angular frequency, M are the multiple of time domain stretching,The phase introduced for effect of dispersion, I (T) are the output photoelectric of photodetector
Stream, T are the time, Jn(x) it is n rank Bessel function of the first kind.
Further, in the step (14), the formula for obtaining digitized stretch signal is：
It can be obtained by Euler's formula：
Wherein, ωRFnAnd BnThe angular frequency and amplitude of n-th of microwave signal, the multiple that M stretches for time domain, D are represented respectively2
For the total dispersion amount of the second dispersive medium,The phase introduced for effect of dispersion corresponding to n-th of microwave signal, n are input
The number of frequencies of microwave signal, T are the time, and F (T) is stretch signal, and i is imaginary number.
Further, in the step (2), the time domain data of stretch signal is subjected to Fourier transformation and obtains spectrum distribution
Formula is：
Wherein, F (ω) is spectrum distribution, ωRFnAnd BnThe angular frequency and amplitude of n-th of microwave signal are represented respectively, and M is
The multiple of time domain stretching,The phase introduced for effect of dispersion corresponding to n-th of microwave signal, n are input microwave signal
Number of frequencies, T are the time, and ω is angular frequency, and i is imaginary number.
Further, in the step (3), the positive and negative frequency of spectrum distribution point is multiplied by corresponding phase compensating factor, i.e., positive frequency
Partial each spectrum component is multiplied by compensating factorEach spectrum component of negative frequency part is multiplied by compensating factor The formula of frequency spectrum after being compensated is：
Wherein, F ' (ω) be compensation after frequency spectrum, ωRFnAnd BnThe angular frequency of n-th of microwave signal is represented respectively and is shaken
Width, M are the multiple of time domain stretching, and ω is output signal angular frequency, D2For the GVD total amount of the second dispersive medium,
The phase introduced for dispersion, n are the number of frequencies of input microwave signal, and T is the time, and i is imaginary number.
Further, in the step (4), inverse Fourier transform is done to the frequency spectrum after compensation, obtains no phase offset distortion
The formula of time-domain signal be：
Wherein, F ' (T) is the time-domain signal without phase offset distortion, ωRFnAnd BnN-th microwave signal is represented respectively
Angular frequency and amplitude, M are the multiple of time domain stretching, and i is imaginary number, and n is the number of frequencies of input microwave signal, and T is the time.
Compared with prior art, the advantage of the invention is that：
First, signal output of the present invention Jing Guo phase compensation is to realize M times of frequency reducing of signal, inhibits dispersion to cause again
Power attenuation and phase distortion, improve PTS-ADC sampling rate and analog bandwidth, improve signal to noise ratio；
2nd, SNR caused by single sideband modulation technology solves dispersion is deteriorated；
3rd, a transmission link reduces the complexity of system.
Brief description of the drawings
Fig. 1 is phase compensating method step schematic diagram in the present invention.
Fig. 2 is the PTS-ADC system construction drawings of single sideband modulation in the present invention.
Fig. 3 is the spectrogram that microwave signal is inputted in the present invention.
Fig. 4 is the time-domain diagram that microwave signal is inputted in the present invention.
Fig. 5 is the spectrogram of double sideband modulation PTS-ADC output signals.
Fig. 6 is the time-domain diagram of double sideband modulation PTS-ADC output signals.
Fig. 7 is the spectrogram of single sideband modulation PTS-ADC output signals in the present invention.
Fig. 8 is the time-domain diagram of single sideband modulation PTS-ADC output signals in the present invention.
Fig. 9 is single sideband modulation PTS-ADC in the present invention and carries out the output signal spectrum figure after phase compensation.
Figure 10 is single sideband modulation PTS-ADC in the present invention and carries out the output signal time-domain diagram after phase compensation.
Embodiment
The present invention is further illustrated with reference to the accompanying drawings and examples.
A kind of phase compensating method for the conversion of optical event modulus in tension, comprise the following steps that：
(1) stretch signal is obtained, that is, obtains the time domain data after time domain stretching；Obtain concretely comprising the following steps for stretch signal：
(11) mode-locked laser 1 produces ultrashort light pulse and forms wavelength line corresponding with the time by the first dispersive medium 2
Property chirped optical pulse, wherein the first dispersive medium 2 be dispersion compensating fiber or specific dispersion compensated optical fiber insertion loss more
It is small, the bigger linear chirp optical fiber grating of dispersion values and photonic crystal fiber etc.；
(12) microwave signal is inputted, microwave signal is divided into two-way, is loaded directly into dual drive M-Z electrooptic modulators 3 all the way
An arm, another way loads another arm of dual drive M-Z electrooptic modulators 3 after electric bridge 4 realizes 90 ° of phase shifts, linearly
Microwave signal is modulated at chirped light arteries and veins by chirped optical pulse by dual drive M-Z electrooptic modulators 3 in a manner of single sideband modulation
On the envelope of punching, output light carries microwave signal；
(13) light load microwave signal passes through the second dispersive medium 5, time domain stretching is carried out using effect of dispersion, after obtaining stretching
Light carry microwave signal, wherein the second dispersive medium 5 is dispersion compensating fiber or specific dispersion compensated optical fiber insertion loss
It is smaller, the bigger linear chirp optical fiber grating of dispersion values and photonic crystal fiber etc.；Light carries microwave signal and is situated between by the second dispersion
Matter 5, time domain stretching is carried out using effect of dispersion, the formula of stretching is：
M=(D1+D2)/D1；
Wherein, D1For the total dispersion amount of the first dispersive medium, D2For the total dispersion amount of the second dispersive medium, M stretches for time domain
Multiple.Now, as linear chrip light pulse and the synchro-draw of microwave signal, microwave signal speed are reduced for original
1/M。
(14) light after stretching carries microwave signal and completes light by photodetector 6 and electronic analogue-to-digital converter 7 successively again
Electricity conversion and sample quantization, obtain digitized stretch signal.When it is simple signal to input microwave signal, in small signal approximation
In the case of (m ＜ ＜ 1), in the single sideband modulation PTS-ADC, the output light electric current of photodetector is：
Wherein, Ienv(T) when being no modulated signal light carrier photoelectric current, m is the index of modulation, ωRFFor microwave signal
Angular frequency, M are the multiple of time domain stretching,The phase introduced for effect of dispersion, I (T) are the output photoelectric of photodetector
Stream, T are the time, Jn(x) it is n rank Bessel function of the first kind.
In contrast, in double sideband modulation PTS-ADC, the output light electric current of photodetector is：
It can be seen that PTS-ADC is real
The stretching of M times of microwave signal is showed, microwave signal frequency is reduced for original 1/M.And single sideband modulation PTS-ADC is eliminated
Power attenuation item caused by dispersion in double sideband modulation PTS-ADCBut phase caused by introducing dispersionIts meeting
Cause the serious distortion of wide-band microwave signal.
Ignore all crosstalks under the conditions of small signal approximation, then single sideband modulation PTS-ADC output signal is：
AndThe corresponding phase introduced for dispersion；
The formula of digitized stretch signal is can obtain by Euler's formula：
Wherein, ωRFnAnd BnThe angular frequency and amplitude of n-th of microwave signal, the multiple that M stretches for time domain, D are represented respectively2
For the total dispersion amount of the second dispersive medium,The phase introduced for effect of dispersion corresponding to n-th of microwave signal, n are input
The number of frequencies of microwave signal, T are the time, and F (T) is stretch signal, and i is imaginary number.
(2) time domain data of stretch signal is subjected to Fourier transformation and obtains spectrum distribution；By the time domain number of stretch signal
It is according to carrying out Fourier transformation and obtain the formula of spectrum distribution：
Wherein, F (ω) is spectrum distribution, ωRFnAnd BnThe angular frequency and amplitude of n-th of microwave signal are represented respectively, and M is
The multiple of time domain stretching,The phase introduced for effect of dispersion corresponding to n-th of microwave signal, n are input microwave signal
Number of frequencies, T are the time, and ω is angular frequency, and i is imaginary number.
(3) the positive and negative frequency of spectrum distribution point is multiplied by corresponding phase compensating factor, the frequency spectrum after being compensated；I.e. positive frequency part
Each spectrum component be multiplied by compensating factorEach spectrum component of negative frequency part is multiplied by compensating factor The formula of frequency spectrum after being compensated is：
Wherein, F ' (ω) be compensation after frequency spectrum, ωRFnAnd BnThe angular frequency of n-th of microwave signal is represented respectively and is shaken
Width, M are the multiple of time domain stretching, and ω is output signal angular frequency, d2For the GVD total amount of the second dispersive medium,
The phase introduced for dispersion, n are the number of frequencies of input microwave signal, and T is the time, and i is imaginary number.
(4) inverse Fourier transform is done to the frequency spectrum after compensation, obtains the time-domain signal of no phase offset distortion.After compensation
Frequency spectrum do inverse Fourier transform, the formula for obtaining the time-domain signal of no phase offset distortion is：
Wherein, F ' (T) is the time-domain signal without phase offset distortion, ωRFnAnd BnN-th microwave signal is represented respectively
Angular frequency and amplitude, M are the multiple of time domain stretching, and i is imaginary number, and n is the number of frequencies of input microwave signal, and T is the time.
As can be seen here, the signal output by phase compensation is to realize M times of frequency reducing of signal, inhibits dispersion to cause again
Power attenuation and phase distortion.
Embodiment 1
With reference to Fig. 2, the present invention is further illustrated by taking software emulation result as an example.
Light source uses centre wavelength as 1555nm, and the passive mode-locking fiber laser that pulsewidth is 210fs produces ultrashort laser arteries and veins
Punching.Light pulse is after 1.3km dispersion compensating fiber, by the dual drive M-Z electrooptic modulators of a linear bias by microwave
Signal modulation is on light pulse envelope.Wherein, microwave signal is divided into two-way, connects dual drive M-Z electrooptic modulators all the way
Upper arm, another way by after an electric bridge connect dual drive M-Z electrooptic modulators underarm, to realize single sideband modulation.Then,
The light of the modulator output of dual drive M-Z electrooptic modulators and electric bridge composition carries microwave signal and mended by one section of 11.7km dispersion
Optical fiber is repaid, after realizing optical event stretching, then passes through photodetector and electronic analogue-to-digital converter successively, photoelectricity is respectively completed and turns
Change and sample quantization, obtain digitized stretch signal.Then, the time domain data of stretch signal is carried out into Fourier transformation to obtain
Spectrum distribution, then corresponding phase compensating factor is multiplied by the positive and negative frequency of the frequency spectrum point.Finally, the frequency spectrum after compensation is in inverse Fu
Leaf transformation, obtain the time-domain signal of no phase offset distortion.
In order to observe effectiveness of the invention, this example is emulated in parameters such as above-mentioned light source, dispersive mediums using Matlab
Under the conditions of, contrast respectively carries out phase compensation using double sideband modulation, single sideband modulation without phase compensation and single sideband modulation
System output signal time-domain diagram and spectrogram.Two-tone modulation situation is simulated, and two microwave signal frequencies are respectively set to small
12GHz in the analog bandwidth and 21GHz more than analog bandwidth, the index of modulation are set to 0.05.Fig. 3 and Fig. 4 respectively inputs micro-
The spectrogram and time-domain diagram of ripple signal.Fig. 5 and Fig. 6 be respectively using double sideband modulation PTS-ADC output signal spectrums figure and
Time-domain diagram.As shown in Figure 5, because PTS-ADC optical treatment, output microwave signal frequency are reduced to original 1/10, and
2.1GHz signals generate up to 17dB dispersion institute induced attenuation compared with 1.2GHz signals.Height can also be observed that by Fig. 6 time-domain diagrams
The decline of frequency signal.Then method of Single Side Band Module is used, obtains Fig. 7 output signal spectrums figure and Fig. 8 output signal time-domain diagrams.
As seen from Figure 7, power attenuation caused by single sideband modulation can suppress dispersion on frequency domain, but due to dispersion introducing be present
Phase, Fig. 8 time domain waveform still have obvious distortion.Finally, this hair is used to the PTS-ADC output signals of single sideband modulation
Bright method carries out phase compensation, and it is respectively Fig. 9 and Figure 10 to obtain signal spectrum figure and time-domain diagram.By them and Fig. 3 and Fig. 4 pairs
Than understanding, not only power attenuation caused by dispersion has obtained effective elimination, and the phase of time-domain signal is also compensated, and realizes nothing
The WBSR wideband signal recovery of phase offset distortion.
From instantiation, the present invention proposes a kind of phase for the conversion of single sideband modulation optical event modulus in tension
Position compensation method, it can effectively eliminate power attenuation caused by dispersion, while improving system simulation bandwidth, realize broadband signal
Recovery without phase offset distortion.It is further to note that the present invention is not limited to the detail in above-mentioned embodiment,
A variety of simplification, modification in the range of the Principle Method of the present invention belong to the protection content of the present invention.
Claims (6)
1. a kind of phase compensating method for the conversion of optical event modulus in tension, it is characterised in that comprise the following steps that：
(1) stretch signal is obtained, that is, obtains the time domain data after time domain stretching；Obtain concretely comprising the following steps for stretch signal：
(11) mode-locked laser produces ultrashort light pulse and forms wavelength linear chrip corresponding with the time by the first dispersive medium
Light pulse；
(12) microwave signal is inputted, microwave signal is divided into two-way, is loaded directly into one of dual drive M-Z electrooptic modulators all the way
Arm, another way load another arm of dual drive M-Z electrooptic modulators, linear chrip light arteries and veins after electric bridge realizes 90 ° of phase shifts
Punching passes through dual drive M-Z electrooptic modulators, and microwave signal is modulated to the envelope of chirped optical pulse in a manner of single sideband modulation
On, output light carries microwave signal；
(13) light load microwave signal passes through the second dispersive medium, and time domain stretching, the light after being stretched are carried out using effect of dispersion
Carry microwave signal；
(14) light after stretching carries microwave signal and completes opto-electronic conversion by photodetector and electronic analogue-to-digital converter successively again
And sample quantization, obtain digitized stretch signal；The formula for obtaining digitized stretch signal is：
It can be obtained by Euler's formula：
Wherein, ωRFnAnd BnThe angular frequency and amplitude of n-th of microwave signal, the multiple that M stretches for time domain, D are represented respectively2For
The total dispersion amount of two dispersive mediums,The phase introduced for effect of dispersion corresponding to n-th of microwave signal, n are input microwave
The number of frequencies of signal, T are the time, and F (T) is stretch signal, and i is imaginary number；
(2) time domain data of stretch signal is subjected to Fourier transformation and obtains spectrum distribution；
(3) the positive and negative frequency of spectrum distribution point is multiplied by corresponding phase compensating factor, the frequency spectrum after being compensated；
(4) inverse Fourier transform is done to the frequency spectrum after compensation, obtains the time-domain signal of no phase offset distortion.
2. a kind of phase compensating method for the conversion of optical event modulus in tension according to claim 1, its feature exist
In in the step (13), light carries microwave signal and passes through the second dispersive medium, and time domain stretching, stretching are carried out using effect of dispersion
Formula be：
M=(D1+D2)/D1；
Wherein, D1For the total dispersion amount of the first dispersive medium, D2For the total dispersion amount of the second dispersive medium, M is times of time domain stretching
Number.
3. a kind of phase compensating method for the conversion of optical event modulus in tension according to claim 1, its feature exist
In in the step (14), when it is simple signal to input microwave signal, the output light electric current of photodetector is：
Wherein, Ienv(T) when being no modulated signal light carrier photoelectric current, m is the index of modulation, ωRFFor the angular frequency of microwave signal
Rate, M are the multiple of time domain stretching,For effect of dispersion introduce phase, I (T) be photodetector output light electric current, T
For time, Jn(x) it is n rank Bessel function of the first kind.
4. a kind of phase compensating method for the conversion of optical event modulus in tension according to claim 1, its feature exist
In in the step (2), the formula that the time domain data progress Fourier transformation of stretch signal is obtained to spectrum distribution is：
Wherein, F (ω) is spectrum distribution, ωRFnAnd BnThe angular frequency and amplitude of n-th of microwave signal are represented respectively, and M draws for time domain
The multiple stretched,The phase introduced for effect of dispersion corresponding to n-th of microwave signal, n are the frequency number of input microwave signal
Amount, T is the time, and ω is angular frequency, and i is imaginary number.
A kind of 5. phase compensating method for the conversion of optical event modulus in tension according to claim 1, it is characterised in that
In the step (3), the positive and negative frequency of spectrum distribution point is multiplied by corresponding phase compensating factor, i.e., each spectrum component of positive frequency part
It is multiplied by compensating factorEach spectrum component of negative frequency part is multiplied by compensating factor
The formula of frequency spectrum after being compensated is：
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6. a kind of phase compensating method for the conversion of optical event modulus in tension according to claim 1, its feature exist
In in the step (4), inverse Fourier transform is done to the frequency spectrum after compensation, obtains the time-domain signal of no phase offset distortion
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<mi>M</mi>
</mfrac>
<mi>T</mi>
<mo>)</mo>
</mrow>
<mo>;</mo>
</mrow>
Wherein, F ' (T) is the time-domain signal without phase offset distortion, ωRFnAnd BnThe angular frequency of n-th of microwave signal is represented respectively
And amplitude, M are the multiple of time domain stretching, i is imaginary number, and n is the number of frequencies of input microwave signal, and T is the time.
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