CN104811163B - Method for generating periodic signal having time-bandwidth product exceeding 10000 - Google Patents

Method for generating periodic signal having time-bandwidth product exceeding 10000 Download PDF

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CN104811163B
CN104811163B CN201510259625.4A CN201510259625A CN104811163B CN 104811163 B CN104811163 B CN 104811163B CN 201510259625 A CN201510259625 A CN 201510259625A CN 104811163 B CN104811163 B CN 104811163B
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subpulse
cycle
periodic signal
pulses
bandwidth
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CN104811163A (en
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马秀荣
王松
梁裕卿
单云龙
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Tianjin University of Technology
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Abstract

The invention discloses a method for generating a periodic signal having a time-bandwidth product exceeding 10000. The method is characterized by comprising the following steps: setting the sub-pulse width in a periodic signal Ep(t) as Tau cp, wherein the sub-pulse amplitude is Aj (j=1, 2...n); the sub-pulse interval in one period is Delta Tau cp; the number of the sub-pulses in one period is n; the period of the periodic signal Ep(t) is T, and N periods are present in total; setting a bandwidth B of a spectral grating according to the sub-pulse width Tau cp in the periodic signal Ep(t), and determining parameters of reference optical pulses and encoding optical pulses, which are required for preparing the spectral grating, according to the bandwidth B of the spectral grating and the period T of the periodic signal Ep(t) as well as the number of periods N of the periodic signal Ep(t); enabling the reference optical pulses and the encoding optical pulses to enter into a hole-burning crystal material to finish the preparation of the spectral grating. According to the method disclosed by the invention, the problems of small time-bandwidth product and low repetition frequency existing in an existing signal generating method are solved.

Description

The method that a kind of periodic signal of Timed automata more than 10000 is produced
Technical field
The present invention relates to signal generation technology, periodic signal generation of more particularly to a kind of Timed automata more than 10000 Method.
Background technology
With the development of digital signal processing theory and microelectric technique, the range resolution ratio to modern radar, speed point Resolution, operating distance, the various performance requirements such as multi-sources distinguishing ability and capacity of resisting disturbance all more and more highers.In order to improve simultaneously The range resolution ratio and operating distance of radar, it is necessary at the same improve signal bandwidth and when width.Therefore, based on it is high when wide bandwidth Long-pending high-resolution radar will be the development trend of following radar.
Because the signal Timed automata that conventional electrical method is produced is limited by electricity device performance, the signal of generation Timed automata very little.Therefore, the research of wide bandwidth signals when producing high using optical meanss in recent years becomes focus.Utilize Optical meanss produce high Timed automata signal mainly using the shaping of light pulse method of discrete chirped fiber Bragg grating. At present, the Timed automata of the signal that these optical meanss are produced is respectively less than 100.
The content of the invention
Present invention aim at:Overcome that Timed automata present in existing signal generating method is little, repetition rate is low Problem.
The technical scheme is that:The method that a kind of periodic signal of Timed automata more than 10000 is produced, its feature It is that the method includes:
Step 1, setting cycle signal EpT () neutron pulse width is τcp, subpulse amplitude is Aj(j=1,2 ... n), and one Subpulse in the individual cycle is at intervals of Δ τcp, the subpulse number in a cycle is n, the periodic signal EpThe cycle of (t) For T, one has N number of cycle;
The periodic signal EpT the expression formula of () isWherein EpijT () is i-th cycle in J-th subpulse, n subpulseFor a cycle, one has N number of cycle;The subpulse width τcpFor sub- arteries and veins Rush EpijThe width of (t), the subpulse amplitude AjRefer to subpulse EpijThe amplitude of (t), the subpulse in one cycle Interval delta τcpRefer to subpulse Epij(t) and subpulse Epi(j+1)The interval of (t), the periodic signal EpT the period Δ T of () is Subpulse Epij(t) and subpulse Ep(i+1)jThe interval of (t);
Step 2, according to the periodic signal Ep(t) neutron pulse width τcp, the bandwidth B of spectrum grating is set, according to institute State periodic signal EpThe periodicity N of (t), the bandwidth B of the spectrum grating and the periodic signal EpT the cycle T of () determines preparation The parameter of reference light pulse and coded light pulses needed for the spectrum grating, by the reference light pulse and the encoded light arteries and veins Pour and be mapped on hole burning crystalline material, complete the preparation of the spectrum grating;
Step 3, according to the periodic signal EpSubpulse number n described in (t) in a cycle, one cycle Interior subpulse interval delta τcp, the subpulse amplitude Aj, j=1,2 ... n, the bandwidth B of the spectrum grating, the reference light The parameter of the parameter setting detecting optical pulses of pulse and the coded light pulses;The detecting optical pulses for setting are incided On the spectrum grating, the periodic signal E is completedpThe generation of (t).
Further, in step 2:
A, according to the periodic signal Ep(t) neutron pulse width τcp, set a width of B=1/ τ of band of spectrum gratingcp
B, according to the periodic signal EpT the periodicity N of (), sets the reference light pulse as E1(t), the encoded light N number of light pulse E is included in pulse2i(t), i=1,2 ... N;
C, according to the bandwidth B of the spectrum grating, set the reference light pulse E1(t) and coded light pulses E2i T the persistent period of () is τc, chirp rate is respectively α1And α2, the reference light pulse E1T the initial frequency of () is fs1, it is described Coded light pulses E21T the initial frequency of () is fs21, make the reference light pulse and the coded light pulses overlapping portion on frequency domain The a width of B=τ of band for dividingc·α2-(fs1-fs21);
D, according to the periodic signal EpT the cycle T of (), sets coded light pulses E2iT the initial frequency of () is fs2i =fs21+(i-1)·α2·T;
E, by the reference light pulse E for setting1(t) and coded light pulses E2iT () is while incide the burning On the same position of hole crystalline material, the preparation of the spectrum grating is completed, a width of B of band of the spectrum grating is as described The bandwidth of the reference light pulse and coded light pulses lap on the frequency domain.
Further, in step 3:
A, according to the periodic signal EpT the subpulse number described in () in a cycle is n, set the detection light N light pulse E is included in pulse3j(t), j=1,2 ... n, according to the subpulse amplitude Aj, set detecting optical pulses E3j(t) Amplitude A3j=Aj
B, the bandwidth B according to the spectrum grating, coded light pulses E2iIn the parameter of (t) and one cycle Subpulse interval delta τcp, set the detecting optical pulses E3jT the chirp rate of () is α3=(α1α2)/(α21), time width is τp=B/ α3, the detecting optical pulses E3jT the initial frequency of () is fs3j=B+fs21+(i-1)·α3·Δτcp
C, by the n detecting optical pulses signal E for setting3jT () enters while incide on the hole burning crystalline material The position being mapped on the hole burning crystalline material is identical with the incoming position of the coded light pulses signal, is managed based on photon-echo By the periodic signal E can be producedp(t)。
The invention has the beneficial effects as follows:
(1) present invention solves that Timed automata present in existing signal generating method is little, the low problem of repetition rate;
(2) present invention solves the problems, such as that pulse temporal width present in existing signal generating method is big;
(3) present invention solves the problems, such as that bandwidth present in existing signal generating method is low.
Description of the drawings
Fig. 1 is Barker code optical signal generation method flow chart disclosed by the invention;
Fig. 2 is the schematic diagram of periodic signal parameter in the present invention.
The relationship between frequency and time figure of Fig. 3 light pulses for needed for the present invention produces periodic signal;
Fig. 4 is the simulation result of 13 Barker code periodic signals that the embodiment of the present invention is produced.
Fig. 5 is the simulation result of a cycle in 13 Barker code periodic signals that the embodiment of the present invention is produced.
Specific embodiment
Illustrate hereinafter with reference to the specific embodiment of Fig. 1-5 couple of present invention.
As shown in figure 1, the embodiment of the present invention carries out the method that a kind of periodic signal of Timed automata more than 10000 is produced Comprise the following steps:
Step 1, setting cycle signal EpT () neutron pulse width is τcp, subpulse amplitude is Aj(j=1,2 ... n), and one Subpulse in the individual cycle is at intervals of Δ τcp, the subpulse number in a cycle is n, the periodic signal EpThe cycle of (t) For T, one has N number of cycle;
It should be noted that:The periodic signal EpT the expression formula of () isWherein EpijT () is J-th subpulse in i-th cycle, n subpulseFor a cycle, one has N number of cycle;The subpulse Width τcpFor subpulse EpijThe width of (t), the subpulse amplitude AjRefer to subpulse EpijThe amplitude of (t), one week Subpulse interval delta τ in phasecpRefer to subpulse Epij(t) and subpulse Epi(j+1)The interval of (t), the periodic signal Ep(t) Period Δ T be subpulse Epij(t) and subpulse Ep(i+1)jThe interval of (t);The periodic signal EpThe parameter of (t) such as Fig. 2 institutes Show,
Step 2, according to the periodic signal Ep(t) neutron pulse width τcp, the bandwidth B of spectrum grating is set, according to institute State periodic signal EpThe periodicity N of (t), the bandwidth B of the spectrum grating and the periodic signal EpT the cycle T of () determines preparation The parameter of reference light pulse and coded light pulses needed for the spectrum grating, by the reference light pulse and the encoded light arteries and veins Pour and be mapped on hole burning crystalline material, complete the preparation of the spectrum grating;
Wherein, in step 2, set the bandwidth B of the spectrum grating and determine the reference light pulse and the encoded light The method of the parameter of pulse is specifically included:
A, according to the periodic signal Ep(t) neutron pulse width τcp, set a width of B=1/ τ of band of spectrum gratingcp
B, according to the periodic signal EpT the periodicity N of (), sets the reference light pulse as E1(t), the encoded light N number of light pulse E is included in pulse2i(t) (i=1,2 ... N);
C, according to the bandwidth B of the spectrum grating, set the reference light pulse E1(t) and coded light pulses E2i T the persistent period of () is τc, chirp rate is respectively α1And α2, the reference light pulse E1T the initial frequency of () is fs1, it is described Coded light pulses E21T the initial frequency of () is fs21, make the reference light pulse and the coded light pulses overlapping portion on frequency domain The a width of B=τ of band for dividingc·α2-(fs1-fs21);
D, according to the periodic signal EpT the cycle T of (), sets coded light pulses E2iT the initial frequency of () is fs2i =fs21+(i-1)·α2·T;
E, by the reference light pulse E for setting1(t) and coded light pulses E2iT () is while incide the burning On the same position of hole crystalline material, the preparation of the spectrum grating is completed, a width of B of band of the spectrum grating is as described The bandwidth of the reference light pulse and coded light pulses lap on the frequency domain;
It should be noted that:
The coded light pulses signal E1(t) and E2iT the frequency-domain expression of () is respectively:
A in formula1、A2Respectively coded light pulses signal E1(t) and E2iThe amplitude of (t);
The frequency-domain expression of the spectrum grating is:
Step 3, according to the periodic signal EpSubpulse number n described in (t) in a cycle, one cycle Interior subpulse interval delta τcp, the subpulse amplitude Aj(j=1,2 ... n), the bandwidth B of the spectrum grating, the reference light The parameter of the parameter setting detecting optical pulses of pulse and the coded light pulses;The detecting optical pulses for setting are incided On the spectrum grating, the periodic signal E is completedpThe generation of (t).
Wherein, in step 3, determine that the method that the parameter and execution cycle signal of the detecting optical pulses are produced specifically is wrapped Include:
A, according to the periodic signal EpT the subpulse number described in () in a cycle is n, set the detection light N light pulse E is included in pulse3jT () (j=1,2 ... n), according to the subpulse amplitude Aj, set detecting optical pulses E3j(t) Amplitude A3j=Aj
B, the bandwidth B according to the spectrum grating, coded light pulses E2iIn the parameter of (t) and one cycle Subpulse interval delta τcp, set the detecting optical pulses E3jT the chirp rate of () is α3=(α1α2)/(α21), time width is τp=B/ α3, the detecting optical pulses E3jT the initial frequency of () is fs3j=B+fs21+(j-1)·α3·Δτcp
C, by the n detecting optical pulses signal E for setting3jT () enters while incide on the hole burning crystalline material The position being mapped on the hole burning crystalline material is identical with the incoming position of the coded light pulses signal, is managed based on photon-echo By the periodic signal E can be producedp(t)。
It should be noted that:
Fig. 3 gives the relationship between frequency and time figure of reference light pulse, coded light pulses and detecting optical pulses;
The detecting optical pulses signal E3kT the frequency-domain expression of () is:
In formula, A3For the amplitude of the detecting optical pulses signal.
K-th subpulse E in i-th cycle of the periodic signal for producingpijT the time-domain expression of () is:
WhereinfcIt is the mid frequency of the spectrum grating, tpIt is the detection light arteries and veins Rush the moment of signal appearance;
The Bark code optical signal E for then producingbT the time-domain expression of () is:
The present invention is described in detail as embodiment with 13 Barker code periodic signals to the inventive method;The present invention is implemented The hole burning crystalline material chosen in example is Tm3+:YAG crystal, Tm3+:The bandwidth B of the inhomogeneous broadening absorption spectra of YAG crystalSHB= 40GHz。
First, setting cycle signal EpT () neutron pulse width is τcp=25ps, subpulse amplitude is A1=1, A2=1, A3 =1, A4=1, A5=1, A6=0, A7=0, A8=1, A9=1, A10=0, A11=1, A12=0, A13=1, the son in a cycle Pulse spacing is Δ τcp=50ps, the subpulse number in a cycle is n=13, the periodic signal EpT the cycle of () is T =100ns, one has N=10 cycle;
2nd, according to the periodic signal Ep(t) neutron pulse width τcp, the bandwidth B of spectrum grating is set, according to the week Phase signal EpThe periodicity N of (t), the bandwidth B of the spectrum grating and the periodic signal EpT the cycle T of () determines that preparation is described The parameter of reference light pulse and coded light pulses needed for spectrum grating, the reference light pulse and the coded light pulses are entered It is mapped on hole burning crystalline material, completes the preparation of the spectrum grating;
1. the bandwidth of spectrum grating is set
The periodic signal Ep(t) neutron pulse width τcp=25ps, designs a width of B=1/ τ of band of spectrum gratingcp= 40GHz。
2. the parameter for preparing the two-beam pulse signal needed for the spectrum grating is determined
According to the periodic signal EpT the periodicity N=10 of (), sets the reference light pulse as E1(t), it is described N=10 light pulse signal E is included in coded light pulses2i(t) (i=1,2 ... 10);According to the bandwidth B of the spectrum grating= 40GHz, sets the reference light pulse E1(t) and coded light pulses signal E2iT the persistent period of () is τc=1ms, warbles Rate is respectively α1=4.04 × 1013Hz/s and α2=4 × 1013Hz/s, the reference light pulse E1T the initial frequency of () is fs1= 80MHz, coded light pulses E21T the initial frequency of () is fs21=63MHz, makes the reference light pulse and the encoded light The a width of B=τ of pulse band of lap on frequency domainc·α2-(fs1-fs21)≈40GHz;According to the periodic signal Ep T cycle T=the 100ns of (), sets coded light pulses E2iInitial frequency f of (t)s2i=fs21+(n-1)·α2T= 63MHz+(n-1)·400kHz;
3. the preparation of spectrum grating is completed
By the reference light pulse E for setting1(t) and coded light pulses E2iT () is while incide the hole burning crystal On the same position of material, the preparation of the spectrum grating is completed, a width of B ≈ 40GHz of band of the spectrum grating are as described The bandwidth of the reference light pulse and coded light pulses lap on the frequency domain.
3rd, according to the periodic signal EpSubpulse number n described in (t) in a cycle, in one cycle Subpulse interval delta τcp, the subpulse amplitude Aj(j=1,2 ... n), the bandwidth B of the spectrum grating, the reference light arteries and veins The parameter of the parameter setting detecting optical pulses of punching and the coded light pulses;The detecting optical pulses for setting are incided into institute State on spectrum grating, complete the periodic signal EpThe generation of (t).
1. the parameter of the detecting optical pulses signal is set
According to the subpulse amplitude Aj, set detecting optical pulses signal E3jThe amplitude A of (t)3j=Aj·A3, i.e. A301= A3、A302=A3、A303=A3、A304=A3、A305=A3、A306=0, A307=0, A308=A3、A309=A3、A310=0, A311=A3、 A312=0, A313=A3;Bandwidth B=40GHz, the parameter of the coded light pulses signal according to the spectrum grating and described Subpulse in a cycle is at intervals of Δ τcp, set the n=13 detecting optical pulses signal E3jT the chirp rate of () is α3= (α1α2)/(α21)=1015Hz/s, time width is τp=B/ α3=40 μ s, the detecting optical pulses E3kThe initial frequency of (t) For fs3j=B+fs21+(j-1)·α3·Δτcp=40.063GHz+ (j-1) 50kHz;
2. Barker code periodic signal E described inpThe generation of (t)
By the n=13 detecting optical pulses E for setting3jT () is while incide on the hole burning crystalline material, incidence Position on the hole burning crystalline material is identical with the incoming position of the coded light pulses signal, is managed based on photon-echo By the Barker code periodic signal E can be producedbT (), its time-domain expression is
Fig. 4 gives the Bark code optical signal E of generationbT the time domain figure of (), Fig. 5 gives the bar of generation Gram code optical signal EbT the time domain figure of a cycle in (), its Timed automata is 4 × 104, repetition rate is 20GHz.
Although refer to the attached drawing disclose in detail the present invention, it will be appreciated that, what these descriptions were merely exemplary, and The non-application for limiting the present invention.Protection scope of the present invention may include without departing from this by appended claims Various modifications, remodeling and the equivalents made for invention in the case of invention protection domain and spirit.

Claims (1)

1. the method that a kind of periodic signal of Timed automata more than 10000 is produced, it is characterised in that:Comprise the steps:
Step 1, setting cycle signal EpT () neutron pulse width is τcp, subpulse amplitude is Aj, j=1,2 ... n, a cycle Interior subpulse is at intervals of Δ τcp, the subpulse number in a cycle is n, the periodic signal EpThe cycle of (t) be T, one Have N number of cycle;
Wherein:The periodic signal EpT the expression formula of () isWherein EpijT () is i-th cycle in J-th subpulse, n subpulseFor a cycle, one has N number of cycle;The subpulse width τcpFor sub- arteries and veins Rush EpijThe width of (t), the subpulse amplitude AjRefer to subpulse EpijThe amplitude of (t), the subpulse in one cycle Interval delta τcpRefer to subpulse Epij(t) and subpulse Epi(j+1)The interval of (t), the periodic signal EpT the period Δ T of () is Subpulse Epij(t) and subpulse Ep(i+1)jThe interval of (t);
Step 2, according to the periodic signal Ep(t) neutron pulse width τcp, the bandwidth B of spectrum grating is set, according to the week Phase signal EpThe periodicity N of (t), the bandwidth B of the spectrum grating and the periodic signal EpT the cycle T of () determines that preparation is described The parameter of reference light pulse and coded light pulses needed for spectrum grating, the reference light pulse and the coded light pulses are entered It is mapped on hole burning crystalline material, completes the preparation of the spectrum grating;
In step 2, the method for setting the bandwidth B and the determination reference light pulse and coded light pulses parameter of the spectrum grating Specifically include:
A, according to the periodic signal Ep(t) neutron pulse width τcp, set a width of B=1/ τ of band of spectrum gratingcp
B, according to the periodic signal EpT the periodicity N of (), sets the reference light pulse as E1(t), the coded light pulses In include N number of light pulse E2i(t), i=1,2 ... N;
C, according to the bandwidth B of the spectrum grating, set the reference light pulse E1(t) and coded light pulses E2i(t) Persistent period is τc, chirp rate is respectively α1And α2, the reference light pulse E1T the initial frequency of () is fs1, the encoded light Pulse E21T the initial frequency of () is fs21, make the band of the reference light pulse and the coded light pulses lap on frequency domain A width of B=τc·α2-(fs1-fs21);
D, according to the periodic signal EpT the cycle T of (), sets coded light pulses E2iT the initial frequency of () is fs2i= fs21+(i-1)·α2·T;
E, by the reference light pulse E for setting1(t) and coded light pulses E2iT () is while incide the hole burning crystalline substance On the same position of body material, the preparation of the spectrum grating, a width of B of band of the spectrum grating, as described reference are completed The bandwidth of the light pulse and coded light pulses lap on the frequency domain;
Step 3, according to the periodic signal EpSubpulse number n described in (t) in a cycle, in one cycle Subpulse interval delta τcp, the subpulse amplitude Aj, j=1,2 ... n, the bandwidth B of the spectrum grating, the reference light pulse With the parameter of the parameter setting detecting optical pulses of the coded light pulses;The detecting optical pulses for setting are incided described On spectrum grating, the periodic signal E is completedpThe generation of (t);
In the step, determine the parameter of the detecting optical pulses and complete the periodic signal EpT method that () produces specifically is wrapped Include:
A, according to the periodic signal EpT the subpulse number described in () in a cycle is n, set the detecting optical pulses In include n light pulse E3j(t), j=1,2 ... n, according to the subpulse amplitude Aj, set detecting optical pulses E3jThe amplitude of (t) A3j=Aj
B, the bandwidth B according to the spectrum grating, coded light pulses E2iSub- arteries and veins in the parameter of (t) and one cycle Rush interval delta τcp, set the detecting optical pulses E3jT the chirp rate of () is α3=(α1α2)/(α21), time width is τp= B/α3, the detecting optical pulses E3jT the initial frequency of () is fs3j=B+fs21+(j-1)·α3·Δτcp, j=1,2 ... n, α1For The reference light pulse E1The chirp rate of (t), α2For coded light pulses E2iThe chirp rate of (t), fs21For coded light pulses E21 The initial frequency of (t);
C, by the n for setting detecting optical pulses signal E3jT () is incided while incide on the hole burning crystalline material Position on the hole burning crystalline material is identical with the incoming position of the coded light pulses signal, so as to produce the cycle letter Number Ep(t)。
CN201510259625.4A 2015-05-20 2015-05-20 Method for generating periodic signal having time-bandwidth product exceeding 10000 Expired - Fee Related CN104811163B (en)

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