CN108732545A - The frequency control battle array signal acceptance method and structure of matched filtering are mixed based on multichannel - Google Patents
The frequency control battle array signal acceptance method and structure of matched filtering are mixed based on multichannel Download PDFInfo
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- CN108732545A CN108732545A CN201810181231.5A CN201810181231A CN108732545A CN 108732545 A CN108732545 A CN 108732545A CN 201810181231 A CN201810181231 A CN 201810181231A CN 108732545 A CN108732545 A CN 108732545A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/28—Details of pulse systems
- G01S7/285—Receivers
- G01S7/292—Extracting wanted echo-signals
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
- G01S7/00—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00
- G01S7/02—Details of systems according to groups G01S13/00, G01S15/00, G01S17/00 of systems according to group G01S13/00
- G01S7/36—Means for anti-jamming, e.g. ECCM, i.e. electronic counter-counter measures
Abstract
The invention belongs to array signal processing technologies, disclose a kind of frequency control battle array signal acceptance method and structure being mixed matched filtering based on multichannel.In FDA transmitting signals reception antenna is reflected by far field objects, reception antenna carries out band-wise processing to FDA signals, signal is mixed using the carrier wave of different carrier frequency in each channel, the frequency of mixing is consistent with FDA transmitting carrier frequencies, then baseband waveform is used to carry out matched filtering output to each channel, the signal after multiple channel filterings of output can be used for subsequent target detection and parameter Estimation.The present invention can efficiently use the frequency diversity characteristic of FDA signals, be suitable for arbitrary narrow-band impulse FDA signals, and can be extended to the receiver of other types signal easily, application prospect is good.
Description
Technical field
The invention belongs to array signal processing technology, it is related to being mixed the frequency control battle array signal of matched filtering based on multichannel
Method of reseptance and structure mainly receive frequency control battle array signal, to efficiently use by multichannel mixing-matched filtering structure
Frequency diversity characteristic in frequency control battle array signal.
Background technology
Frequency control battle array (Frequency Diverse Array) is a kind of novel array, passes through the transmitting load in each array element
On frequency apply Small frequency offset such as Fig. 1, emit with different carrier frequency baseband waveform φ (t), cause its far field beam figure simultaneously with
When m- angle-distance it is related, such as Fig. 2 (a).Frequency control battle array has essence different from traditional phased array, and each array element transmitting of the latter carries
Frequency strict conformance, far field beam figure are only related with angle such as Fig. 2 (b).Angle-distance just because of beam pattern relies on spy
Property, frequency controls battle array and the two-dimentional alignment by union of the angle to target-distance not only may be implemented, it is also possible to inhibit angle-distance dimension clutter.
In contrast, phased array is only capable of positioning realization of goal angle and angle is inhibited to tie up clutter.In addition to this, the frequency control distinctive hair of battle array
Radio frequency provides new degree of freedom for array beams design partially so that and user can be designed that more flexible and changeable beam pattern,
To meet various demands.
Launching beam design currently is concentrated mainly on to the research of frequency control battle array and target positions the two aspects, battle array is controlled to frequency
The research that signal receives is very few.Due to the introducing of frequency deviation, frequency, which controls battle array signal and launching beam figure, has time variation.Existing research
The time-varying characteristics for assuming frequency control battle array signals in pulse can be ignored more, to using the phased array receiving side signal case of routine come
Receive frequency control battle array signal.If in fact, considering that frequency controls the time variation of battle array signal, traditional down coversion-matched filtering reception scheme
The frequency control battle array signal that can be eliminated apart from phase, to which frequency diversity characteristic can not be efficiently used.
Invention content
The present invention is while considering frequency control battle array signal time variation, it is proposed that a kind of to be mixed matched filtering based on multichannel
Frequency control battle array signal acceptance method and structure, of the invention is mainly to propose one in the case where considering frequency control battle array signal time variation
Structure of the kind based on multichannel mixing-matched filtering controls battle array signal effectively to receive frequency, and the receiver structure proposed is suitable for
The arbitrary narrow-band ping that frequency control paroxysm is penetrated.
For achieving the above object, the present invention adopts the following technical scheme that：
A kind of frequency control battle array signal reception structure being mixed matched filtering based on multichannel, including：Antenna, frequency mixer, filtering
Device, the FDA signals of antenna transmitting are reflected into reception antenna by far field objects (coordinate be (θ, r)), reception antenna to FDA signals into
Row band-wise processing, in each channel using different carrier frequency carrier wave to signal carry out frequency mixer mixing, the frequency of mixing and
FDA transmitting carrier frequencies are consistent, then baseband waveform φ (t) used to carry out matched filtering to each path filter；Multiple channel filters
Signal after wave is used for subsequent target detection and parameter Estimation.
A kind of frequency control battle array signal acceptance method being mixed matched filtering based on multichannel, including：
Step 1：FDA signals are divided into multichannel and are input to each lead to by the FDA signals that far field objects reflection is received using antenna
Road；
Step 2：Each channel is mixed FDA signals respectively, and the local carrier frequency in m-th of channel is equal to FDA's
M-th of array element transmitting carrier frequency fm；
Step 3：Each channel carries out matched filtering using baseband waveform φ (t) to the FDA signals after mixing；
Step 4：The signal in each channel is exported, for subsequent detection and estimation；
Wherein, while FDA signal time variations, FDA signals, hair are received using multichannel mixing-matched filtering structure
Array is penetrated as linear array at equal intervals, array number M, array element spacing is d, and the m+1 array element transmitting carrier frequency is
fm=f0+ m Δs f, m=0,1 ..., M-1 (1)
Array element emits the pulse φ (t) of unit energy, meets
Wherein TpFor the pulse duration.Then the transmitting signal of the m+1 array element is expressed as
It is reference with first array element, if far field has a point target to be located at azimuth angle theta and distance r, then target to m+1
The distance of a array element is
rm≈r-md sinθ (4)
Assuming that the transmission weight of the m+1 array element is wT, m, then the reflected FDA signals of far field objects can be expressed as
Wherein ξ is target complex reflection coefficient, c0It is propagation velocity of electromagnetic wave, τ=r/c0Indicate time delay,Indicate wT, m
Conjugation；It indicates, enables to simplify
Then FDA signals can be compactly expressed as
In fact, the frequency diversity of FDA is derived from apart from phase ar(r), which is referred to by the carrier wave in echo with local
Carrier frequency mixing obtains；This multichannel is mixed matched filtering and receives structure：Reception antenna uses multichannel local reference carrierFDA signals are mixed respectively, then use baseband waveform φ (t) matched filterings again per road
Output, mixing of the FDA echo-signals through the n-th road-load wave-matched filtering output are
Wherein * indicates convolution.Enable relative time tr=t- τ=t-r/c0, abbreviation is
Wherein
Formula (9) is exactly output of the FDA signals after multichannel is mixed matched filtering, and (10) show that the output depends on tool
The ambiguity function of body transmitted waveform
In order to verify the correctness of derivation, next using with smart blur functionWaveform φ (t), generation
Enter into formula (9), calculates the output after band-wise processing；
1) orthogonal waveforms
The ambiguity function of orthogonal waveforms meetsTo orthogonal waveforms FDA signals into
Row band-wise processing, then to its zero moment sample after output be
Wherein transmitting weight vector wT=[wT, 1, wT, 2..., wT, M]T, array steering vector is
Using reception weight vector wR=[wR, 1, wR, 2..., wR, M]TOutput is weighted, then obtains the send-receive of orthogonal waveforms
United beam figure is
Consider transmitting and receive all to use uniform weight vector, i.e. wT=wR=1M×1, the closed expression that can obtain beam pattern is
Beam pattern peak value, which appears in, to be met on (θ, the r) of following equation
WhereinIndicate integer set；Clearly for the k of some determination, whether there is or not arrays (θ, r) to be located on peak value, and
By the property of sinc functions it is found that (θ, the r) that meets condition is distributed in plane at S-shaped in angle-；Due to k take it is different
The S-shaped of integer value, beam pattern should be at periodic distribution；
2) be concerned with waveform
The ambiguity function of relevant waveform meetsTo relevant waveform FDA signals into
Row band-wise processing, then to its zero moment sample after output be
Same use receives weight vector wR=[wR, 1, wR, 2..., wR, M]TOutput is weighted, then the transmitting-for the waveform that must be concerned with
Receiving united beam figure is
Consider transmitting and receive all to use uniform weight vector, i.e. wT=wR=1M×1, the closed expression that can obtain beam pattern is
Formula (18) shows that the beam pattern of relevant waveform FDA is the product of two sinc functions of angle peacekeeping distance dimension,
Therefore its peak value should be located at the center of two sinc functions, this shows the send-receive beam pattern of relevant waveform FDA at angle
Degree-should be dotted in plane；
Simulated conditions：FDA array number M=10, carrier frequency f0=10GHz, frequency deviation Δ f=10kHz, array element spacing d=c/
(2f0).Orthogonal waveforms choose random binary phase-coded waveform, and the waveform that is concerned with chooses linear frequency modulation continuous wave；
Simulation process：Some baseband waveform φ (t) is given, the FDA signals of far field objects reflection, root are generated according to formula (5)
Multichannel mixing is first carried out to it according to (8), matched filtering sampling output then is carried out to the signal in each channel, sampling instant is
T=r/c0, finally using reception weight wRSynthesis is weighted to sampling output, calculates the signal amplitude after synthesis；Constantly change
The position of far field objects calculates the signal amplitude after alignment processing, as send-receive beam pattern；
Simulation result：
The wherein ambiguity function of random binary phase-coded waveform, code length 16bit, pulse persistance duration Tp=
1ms；It is drawing pin shape to observe waveform ambiguity function, as Δ f >=1/TpWhen, ambiguity function is in fd=m Δ f are approximately equal to 0 at m ≠ 0；
Since FDA frequency deviations are Δ f=10kHz >=1/Tp=1kHz, then random binary phase-coded waveform regard orthogonal waveforms as,
Send-receive beam pattern should be S-shaped；
Wherein FDA emulates obtained send-receive wave beam using the waveform as baseband waveform φ (t), and week is presented really
The S-shaped of phase is distributed, and shows that proposed receiver structure can effectively receive orthogonal waveforms FDA signals really；
The wherein ambiguity function of linear frequency modulation continuous wave, pulse persistance duration Tp=1us, time width product are 100, observe waveform
Ambiguity function is oblique line shape, especially as M Δ f < < 1/TpWhen, ambiguity function is in fd=m Δ f are approximately equal to 1 at m ≠ 0；Due to
Total transmitting frequency deviation of FDA is M Δ f=100kHz < < 1/Tp=1MHz, then linear frequency modulation continuous wave regard relevant waveform as,
Send-receive beam pattern should be dotted；Wherein FDA emulates obtained send-receive using the waveform as baseband waveform φ (t)
Wave beam shows spot distribution, shows that proposed receiver structure can effectively receive relevant waveform FDA signals.
Due to using technical solution as described above, the present invention that there is following superiority：
(1) since there are time variations in arteries and veins for FDA signals, at present almost without the special receiver for receiving pulse FDA signals
Structure or method, and this programme proposes a kind of effective receiver structure or scheme for receiving FDA signals；
(2) existing scheme adopts traditional single channel down coversion-matched filtering structure and receives FDA signals, ignores FDA letters
Time variation in feeling the pulse lacks reasonability, and the receiver structure of this programme design considers the time variation of FDA signals, can have
Effect utilizes the frequency diversity characteristic of FDA signals；
(3) receiver structure proposed by the invention is suitable for arbitrary narrow-band impulse FDA signals, and this receiver structure
It is easily achieved, the receiver of other types signal can be extended to easily, such as：(a) the 1st channel is chosen, other channels are closed
It is then traditional phased array signal receiver；(b) multichannel is mixed using same carrier wave, and matched filter uses different wave,
It is then MIMO signal receiver；(c) it uses multiple antennas to receive signal, is then array acceptor.
Description of the drawings
Fig. 1 is that schematic diagram is penetrated in frequency control paroxysm；
Fig. 2 is the wave beam comparison diagram that frequency controls battle array and phased array；
Fig. 3 is that multichannel mixing-matched filtering frequency control battle array receives structure chart；
Fig. 4 is the ambiguity function figure of random binary phase-coded waveform；
Fig. 5 is the FDA send-receive beam patterns of random binary phase-coded waveform；
Fig. 6 is linear frequency modulation continuous wave ambiguity function figure；
Fig. 7 is the FDA send-receive beam patterns of linear frequency modulation continuous wave.
Specific implementation mode
A kind of reception structure-receiver for the frequency control battle array signal being mixed matched filtering based on multichannel, is to be based on following two
Point is assumed：1. narrow-band ping is penetrated in frequency control paroxysm；2. reflectance target is remote enough at a distance of array, point target can be regarded as；Such as Fig. 3.
The FDA signals of transmitting are reflected into reception antenna by far field objects (coordinate is (θ, r)), and reception antenna carries out FDA signals mostly logical
Road processing, is in each channel mixed signal using the carrier wave of different carrier frequency, the frequency and FDA transmitting carrier frequencies one of mixing
It causes, then baseband waveform φ (t) is used to carry out matched filtering to each channel.Signal after multiple channel filterings can be used for subsequently
Target detection and parameter Estimation.
A kind of frequency control battle array signal acceptance method being mixed matched filtering based on multichannel, including：
Step 1：FDA signals are divided into multichannel and are input to each lead to by the FDA signals that far field objects reflection is received using antenna
Road；
Step 2：Each channel is mixed FDA signals respectively, and the local carrier frequency in m-th of channel is equal to FDA's
M-th of array element transmitting carrier frequency fm；
Step 3：Each channel carries out matched filtering using baseband waveform φ (t) to the FDA signals after mixing；
Step 4：The signal in each channel is exported, for subsequent detection and estimation.
The present invention receives FDA letters while considering FDA signal time variations, using multichannel mixing-matched filtering structure
Number.As shown in Figure 1, emission array is linear array at equal intervals, array number M, array element spacing is d, and the m+1 array element transmitting carries
Frequently it is
fm=f0+ m Δs f, m=0,1 ..., M-1 (1)
Array element emits the pulse φ (t) of unit energy, meets
Wherein TpFor the pulse duration.Then the transmitting signal of the m+1 array element can be expressed as
It is reference with first array element, if far field has a point target to be located at azimuth angle theta and distance r, then target to m+1
The distance of a array element is
rm≈r-md sinθ (4)
Assuming that the transmission weight of the m+1 array element is wT, m, then the reflected FDA signals of far field objects can be expressed as
Wherein ζ is target complex reflection coefficient, c0It is propagation velocity of electromagnetic wave, τ=r/c0Indicate time delay,Indicate wT, m
Conjugation.It indicates, enables to simplify
Then FDA signals can be compactly expressed as
In fact, the frequency diversity of FDA is derived from apart from phase ar(r), which is referred to by the carrier wave in echo with local
Carrier frequency mixing obtains.However conventional reception scheme only used single channel local reference carrier i.e.Mixing, not favorably
With in FDA signals multichannel carrier, therefore in essence, conventional receiver can not possibly utilize the frequency diversity characteristic of FDA.For
This, the present invention proposes that multichannel mixing as shown in Figure 2-matched filtering receives structure：Reception antenna is using multichannel locally with reference to load
WaveFDA signals are mixed respectively, baseband waveform φ (t) matched filterings are then used per road
It exports again.Mixing of the FDA echo-signals through the n-th road-load wave-matched filtering exports
Wherein * indicates convolution.Enable relative time tr=t- τ=t-r/c0, can abbreviation be
Wherein
Formula (9) is exactly output of the FDA signals after multichannel mixing-matched filtering, and (10) show that the output depends on
The ambiguity function of specific transmitted waveform
In order to verify the correctness of derivation, next using with smart blur functionWaveform φ (t), generation
Enter into formula (9), calculates the output after band-wise processing.
1) orthogonal waveforms
The ambiguity function of orthogonal waveforms meetsTo orthogonal waveforms FDA signals into
Row band-wise processing, then to its zero moment sample after output be
Wherein transmitting weight vector wT=[wT, 1, wT, 2..., wT, M]T, array steering vector is
Using reception weight vector wR=[wR, 1, wR, 2..., wR, M]TOutput is weighted, then the transmitting-that can obtain orthogonal waveforms connects
Receiving united beam figure is
Consider transmitting and receive all to use uniform weight vector, i.e. wT=wR=1M×1, the closed expression that can obtain beam pattern is
Beam pattern peak value, which appears in, to be met on (θ, the r) of following equation
WhereinIndicate integer set.Clearly for the k of some determination, whether there is or not arrays (θ, r) to be located on peak value, and
By the property of sinc functions it is found that (θ, the r) that meets condition is distributed in plane at S-shaped in angle-.Since k can take not
Same integer value, the S-shaped of beam pattern should be at periodic distribution.
2) be concerned with waveform
The ambiguity function of relevant waveform meetsTo relevant waveform FDA signals into
Row band-wise processing, then to its zero moment sample after output be
Same use receives weight vector wR=[wR, 1, wR, 2..., wR, M]TOutput is weighted, then the hair for the waveform that can must be concerned with
Penetrating-receive united beam figure is
Consider transmitting and receive all to use uniform weight vector, i.e. wT=wR=1M×1, the closed expression that can obtain beam pattern is
Formula (18) shows that the beam pattern of relevant waveform FDA is the product of two sinc functions of angle peacekeeping distance dimension,
Therefore its peak value should be located at the center of two sinc functions, this shows the send-receive beam pattern of relevant waveform FDA at angle
Degree-should be dotted in plane.
Simulated conditions：FDA array number M=10, carrier frequency f0=10GHz, frequency deviation Δ f=10kHz, array element spacing d=c/
(2f0).Orthogonal waveforms choose random binary phase-coded waveform, and the waveform that is concerned with chooses linear frequency modulation continuous wave.
Simulation process：Some baseband waveform φ (t) is given, the FDA signals of far field objects reflection, root are generated according to formula (5)
Multichannel mixing is first carried out to it according to (8), matched filtering sampling output then is carried out to the signal in each channel, sampling instant is
T=r/c0, finally using reception weight wRSynthesis is weighted to sampling output, calculates the signal amplitude after synthesis.Constantly change
The position of far field objects calculates the signal amplitude after alignment processing, as send-receive beam pattern.
Simulation result：
Fig. 4 is the ambiguity function of random binary phase-coded waveform, code length 16bit, pulse persistance duration Tp
=1ms.The figure is observed, waveform ambiguity function is drawing pin shape, as Δ f >=1/TpWhen, ambiguity function is in fd=m Δ f, at m ≠ 0
It is approximately equal to 0.Since FDA frequency deviations are Δ f=10kHz >=1/Tp=1kHz, then random binary phase-coded waveform can regard as
Orthogonal waveforms, send-receive beam pattern should be S-shaped.Fig. 5 is exactly that FDA is emulated using the waveform as baseband waveform φ (t)
The S-shaped distribution in period is presented in the send-receive beam pattern arrived really, this shows that proposed receiver structure really can be effective
Receive orthogonal waveforms FDA signals.
Fig. 6 is the ambiguity function of linear frequency modulation continuous wave, pulse persistance duration Tp=1us, time width product are 100.Observation should
Figure, waveform ambiguity function is oblique line shape, especially as M Δ f < < 1/TpWhen, ambiguity function is in fd=m Δ f are approximately equal at m ≠ 0
1.Since total transmitting frequency deviation of FDA is M Δ f=100kHz < < 1/Tp=1MHz, then linear frequency modulation continuous wave can regard phase as
Dry waveform, send-receive beam pattern should be dotted.Fig. 7 is exactly that FDA is emulated using the waveform as baseband waveform φ (t)
The send-receive beam pattern arrived, shows spot distribution really, this shows that proposed receiver structure can be received effectively really
Relevant waveform FDA signals.
Since orthogonal waveforms and relevant waveform comparison are special, convenient for verification, therefore this emulation only demonstrates them.In fact,
The receiver structure proposed is suitable for arbitrary narrow-band impulse waveform, is not limited to orthogonal waveforms and coherent wave, further includes part
Relevant waveform.The verification method of other waveforms is similar, repeats no more.
Claims (2)
1. a kind of receiver structure of the frequency control battle array signal based on multichannel mixing-matched filtering, it is characterized in that：Including：Antenna,
The FDA signals of frequency mixer, filter, antenna transmitting are reflected into reception antenna, reception antenna by far field objects (coordinate is (θ, r))
Band-wise processing is carried out to FDA signals, frequency mixer mixing is carried out to signal using the carrier wave of different carrier frequency in each channel, is mixed
The frequency of frequency is consistent with FDA transmitting carrier frequencies, then baseband waveform φ (t) is used to carry out matched filtering to each path filter；
Signal after multiple channel filterings is used for subsequent target detection and parameter Estimation.
2. a kind of frequency control battle array signal acceptance method based on multichannel mixing-matched filtering, it is characterized in that：Including：
Step 1：The FDA signals that far field objects reflection is received using antenna, are divided into multichannel by FDA signals and are input to each channel；
Step 2：Each channel is mixed FDA signals respectively, and the local carrier frequency in m-th of channel is equal to m-th of FDA
Array element transmitting carrier frequency fm；
Step 3：Each channel carries out matched filtering using baseband waveform φ (t) to the FDA signals after mixing；
Step 4：The signal in each channel is exported, for subsequent detection and estimation；
Wherein, while FDA signal time variations, FDA signals is received using multichannel mixing-matched filtering structure, emit battle array
It is classified as linear array at equal intervals, array number M, array element spacing is d, and the m+1 array element transmitting carrier frequency is
fm=f0+ m Δs f, m=0,1 ..., M-1 (1)
Array element emits the pulse φ (t) of unit energy, meets
Wherein TpFor the pulse duration, then the transmitting signal of the m+1 array element is expressed as
It is reference with first array element, if far field has a point target to be located at azimuth angle theta and distance r, then target to the m+1 battle array
Member distance be
rm≈r-md sinθ (4)
Assuming that the transmission weight of the m+1 array element is ωT, m, then the reflected FDA signals of far field objects can be expressed as
Wherein ξ is target complex reflection coefficient, c0It is propagation velocity of electromagnetic wave, τ=r/c0Indicate time delay,Indicate ωT, mBe total to
Yoke；It indicates, enables to simplify
Then FDA signals can be compactly expressed as
In fact, the frequency diversity of FDA is derived from apart from phase ar(r), which is mixed by the carrier wave in echo with local reference carrier
Frequency obtains；This multichannel is mixed matched filtering and receives structure：Reception antenna uses multichannel local reference carrierFDA signals are mixed respectively, then use baseband waveform φ (t) matched filterings again per road
Output, mixing of the FDA echo-signals through the n-th road-load wave-matched filtering output are
Wherein * indicates convolution, enables relative time tr=t- τ=t-r/c0, abbreviation is
Wherein
Formula (9) is exactly output of the FDA signals after multichannel is mixed matched filtering, and (10) show that the output depends on specific hair
The ambiguity function of ejected wave shape
In order to verify the correctness of derivation, next using with smart blur functionWaveform φ (t), be updated to
In formula (9), the output after band-wise processing is calculated；
1) orthogonal waveforms
The ambiguity function of orthogonal waveforms meetsOrthogonal waveforms FDA signals are carried out more
Channel is handled, and is then to output after the sampling of its zero moment
Wherein transmitting weight vector wT=[ωT, 1, ωT, 2..., ωT, M]T, array steering vector is
Using reception weight vector wR=[ωR, 1, ωR, 2..., ωR, M]TOutput is weighted, then obtains the send-receive of orthogonal waveforms
United beam figure is
Consider transmitting and receive all to use uniform weight vector, i.e. wT=wR=1M×1, the closed expression that can obtain beam pattern is
Beam pattern peak value, which appears in, to be met on (θ, the r) of following equation
WhereinIndicate integer set；Clearly for the k of some determination, whether there is or not arrays (θ, r) to be located on peak value, and by sinc
The property of function is it is found that (θ, the r) that meets condition is distributed in plane at S-shaped in angle-；Since k takes different integer values,
The S-shaped of beam pattern should be at periodic distribution；
2) be concerned with waveform
The ambiguity function of relevant waveform meetsRelevant waveform FDA signals are carried out more
Channel is handled, and is then to output after the sampling of its zero moment
Same use receives weight vector wR=[ωR, 1, ωR, 2..., ωR, M]TOutput is weighted, then the transmitting-for the waveform that must be concerned with
Receiving united beam figure is
Consider transmitting and receive all to use uniform weight vector, i.e. wT=wR=1M×1, the closed expression that can obtain beam pattern is
Formula (18) shows that the beam pattern of relevant waveform FDA is the product of two sinc functions of angle peacekeeping distance dimension, therefore
Its peak value should be located at the center of two sinc functions, this show the send-receive beam pattern of relevant waveform FDA angle-away from
It is dotted from should be in plane；
Simulated conditions：FDA array number M=10, carrier frequency f0=10GHz, frequency deviation Δ f=10kHz, array element spacing d=c/ (2f0), just
Waveform is handed over to choose random binary phase-coded waveform, the waveform that is concerned with chooses linear frequency modulation continuous wave；
Simulation process：Some baseband waveform φ (t) is given, the FDA signals of far field objects reflection are generated according to formula (5), according to (8)
Multichannel mixing is first carried out to it, matched filtering sampling output, sampling instant t=r/ then are carried out to the signal in each channel
c0, finally using reception weight wRSynthesis is weighted to sampling output, calculates the signal amplitude after synthesis；Constantly change far field
The position of target calculates the signal amplitude after alignment processing, as send-receive beam pattern；
Simulation result：
The wherein ambiguity function of random binary phase-coded waveform, code length 16bit, pulse persistance duration Tp=1ms；
It is drawing pin shape to observe waveform ambiguity function, as Δ f >=1/TpWhen, ambiguity function is in fd=m Δ f are approximately equal to 0 at m ≠ 0；Due to
FDA frequency deviations are Δ f=10kHz >=1/Tp=1kHz, then random binary phase-coded waveform regard orthogonal waveforms as, send out
It penetrates-receives beam pattern and should be S-shaped；
Wherein FDA emulates obtained send-receive wave beam using the waveform as baseband waveform φ (t), and the S in period is presented really
Shape is distributed, and shows that proposed receiver structure can effectively receive orthogonal waveforms FDA signals really；
The wherein ambiguity function of linear frequency modulation continuous wave, pulse persistance duration Tp=1us, time width product are 100, and observation waveform is fuzzy
Function is oblique line shape, especially as M Δ f < < 1/TpWhen, ambiguity function is in fd=m Δ f are approximately equal to 1 at m ≠ 0；Due to FDA's
Total transmitting frequency deviation is M Δ f=100kHz < < 1/Tp=1MHz, then linear frequency modulation continuous wave regard relevant waveform as, transmitting-
It receives beam pattern and should be dotted；Wherein FDA emulates obtained send-receive wave beam using the waveform as baseband waveform φ (t)
Spot distribution is showed, shows that proposed receiver structure can effectively receive relevant waveform FDA signals.
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Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109991577A (en) * | 2019-04-15 | 2019-07-09 | 西安电子科技大学 | Low intercepting and capturing based on FDA-OFDM emit Design of Signal method |
| CN110133631A (en) * | 2019-06-11 | 2019-08-16 | 电子科技大学 | A kind of frequency control battle array MIMO radar object localization method based on ambiguity function |
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| CN110261852A (en) * | 2019-03-22 | 2019-09-20 | 桂林电子科技大学 | A kind of frequency diversity inverse synthetic aperture radar imaging system and method |
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| CN111505600A (en) * | 2020-05-19 | 2020-08-07 | 西北大学 | STPC-based FDA-MIMO radar signal processing method, device and medium |
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| CN113093136A (en) * | 2021-03-31 | 2021-07-09 | 桂林电子科技大学 | Frequency diversity array radar target position removing fuzzy imaging method |
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| CN111342911A (en) * | 2018-12-18 | 2020-06-26 | 华为技术有限公司 | Method and apparatus for calibrating radio frequency link |
| CN111342911B (en) * | 2018-12-18 | 2021-09-14 | 华为技术有限公司 | Method and apparatus for calibrating radio frequency link |
| CN110261852A (en) * | 2019-03-22 | 2019-09-20 | 桂林电子科技大学 | A kind of frequency diversity inverse synthetic aperture radar imaging system and method |
| CN109991577A (en) * | 2019-04-15 | 2019-07-09 | 西安电子科技大学 | Low intercepting and capturing based on FDA-OFDM emit Design of Signal method |
| CN109991577B (en) * | 2019-04-15 | 2022-12-02 | 西安电子科技大学 | Low interception transmitted signal design method based on FDA-OFDM |
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| CN110133631A (en) * | 2019-06-11 | 2019-08-16 | 电子科技大学 | A kind of frequency control battle array MIMO radar object localization method based on ambiguity function |
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| CN112213714A (en) * | 2020-09-18 | 2021-01-12 | 西安科技大学 | Steady-state distance-angle decoupling beam forming method and system |
| CN113030874A (en) * | 2021-02-24 | 2021-06-25 | 电子科技大学 | Close-range main lobe interference suppression method based on frequency control array radar |
| CN113093136A (en) * | 2021-03-31 | 2021-07-09 | 桂林电子科技大学 | Frequency diversity array radar target position removing fuzzy imaging method |
| CN113093136B (en) * | 2021-03-31 | 2022-06-10 | 桂林电子科技大学 | Frequency diversity array radar target position removing fuzzy imaging method |
| CN114285707A (en) * | 2021-12-23 | 2022-04-05 | 电子科技大学 | Frequency control array safety communication method based on chaos index modulation |
| CN114285707B (en) * | 2021-12-23 | 2023-05-16 | 电子科技大学 | Frequency control array safety communication method based on chaos index modulation |
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