CN109471064A - Time-modulation array df system based on pulse compression technique - Google Patents
Time-modulation array df system based on pulse compression technique Download PDFInfo
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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
- G01S3/00—Direction-finders for determining the direction from which infrasonic, sonic, ultrasonic, or electromagnetic waves, or particle emission, not having a directional significance, are being received
- G01S3/02—Direction-finders for determining the direction from which infrasonic, sonic, ultrasonic, or electromagnetic waves, or particle emission, not having a directional significance, are being received using radio waves
- G01S3/14—Systems for determining direction or deviation from predetermined direction
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Abstract
The time-modulation array df system based on pulse compression technique that the present invention provides a kind of, including antenna array module (1), radio-frequency switch module (2), digital control module (14), duplexer (3), RF local oscillator module (8), signal emission module, signal receiving module；Antenna array module (1) is sequentially connected radio-frequency switch module (2), duplexer (3), duplexer (3) is separately connected signal emission module, signal receiving module, digital control module (14) is separately connected radio-frequency switch module (2), duplexer (3), and RF local oscillator module (8) is separately connected signal emission module, signal receiving module.The present invention has the characteristics that at low cost, structure is simple, direction finding precision is high, suitable for platforms such as the guidance radar of miniaturization, automobile collision avoidance radar, pilotless automobile detection systems.
Description
Technical field
The present invention relates to antenna works technical fields, survey more particularly to the time-modulation array based on pulse compression technique
To system.
Background technique
Direction finding technology is widely used in radar, the fields such as sonar and wireless telecommunications, traditional direction-finding method there is or it is hard
The problems such as structure is complicated for part, at high cost, or calculating degree is complicated or estimated accuracy is low.Time-modulation array as it is a kind of low cost,
The new antenna of low complex degree receives great attention in recent years.Array is generated humorous containing different information content by periodic modulation
Wave component can be used to realize the functions such as direction finding, beam scanning, space division multiple access.FM signal is as a kind of big Timed automata
Spread-spectrum signal, be also applied to the fields such as communication, radar, sonar contact and synthetic aperture radar image-forming simultaneously.In radar,
To increase the detection range of radar, while resolving power is maintained a certain distance, when generalling use linear FM signal to obtain big
Wide bandwidth product；In wireless communications, system identification is carried out using linear FM signal and time-variable filtering；In synthetic aperture radar
In imaging technique, resolution ratio can be enhanced and improve imaging precision.
Summary of the invention
For the defects in the prior art, the object of the present invention is to provide a kind of time-modulations based on pulse compression technique
Array df system.
A kind of time-modulation array df system based on pulse compression technique provided according to the present invention, including antenna array
Column module, radio-frequency switch module, digital control module, duplexer, RF local oscillator module, signal emission module, signal receive mould
Block；Antenna array module is sequentially connected radio-frequency switch module, duplexer, and duplexer is separately connected signal emission module, signal connects
Module is received, digital control module is separately connected radio-frequency switch module, duplexer, and RF local oscillator module is separately connected signal transmitting mould
Block, signal receiving module.
Preferably, the antenna array module includes one or more unit printed dipole antenna array elements, antenna
Spacing between array element is half-wavelength；The radio-frequency switch module includes one or more single-pole single-throw switch (SPST)s；Antenna array
Column unit and single-pole single-throw switch (SPST) correspond.
Preferably, the signal emission module include LFM waveforms generator, the first frequency mixer, bandpass filter,
Power amplifier, LFM waveforms generator are sequentially connected the first frequency mixer, bandpass filter, power amplifier, duplexer,
First frequency mixer connects RF local oscillator module.
Preferably, the signal receiving module includes low-noise amplifier, the second frequency mixer, low-pass filter, matching filter
One end of wave device, signal processor, low-noise amplifier connects duplexer, and the other end of low-noise amplifier is sequentially connected second
Frequency mixer, low-pass filter, matched filter, signal processor, the second frequency mixer connect RF local oscillator module, matched filter
Connect LFM waveforms generator.
Preferably, the radio-frequency switch module is used to carry out time-modulation to echo-signal, and the duplexer is for switching
Transmitting/reception state, the digital control module are used to control the modulation timing of each single-pole single-throw switch (SPST) of radio-frequency switch module
Switch with the state of duplexer.
Preferably, when system is in emission state, duplexer is switched to transmitting branch, the hilted broadsword list of radio-frequency switch module
Throw switch is completely in closed state；The chirp pulse signal that LFM waveforms generator generates passes through the first frequency mixer
It is modulated to carrier frequency, carries out power amplification, amplified signal using power amplifier after band-pass filter
Successively by duplexer, closed state radio-frequency switch module after by antenna array module radiation direction space.
Preferably, after system completes the transmitting of linear FM signal, duplexer is switched to reception state, echo-signal warp
After being received by antenna array module, periodically modulated by radio-frequency switch module, wherein modulated signal is by digital control mould
Block generates, and modulated signal successively after duplexer, low-noise amplifier, passes through after being downconverted via the second frequency mixer
Low-pass filter becomes baseband signal.
Preferably, the modulating frequency f of the radio-frequency switch modulepWith the linear frequency modulation of LFM waveforms generator transmitting
Meet following relationship between the chirp rate μ of signal:
The modulating frequency f of the radio-frequency switch modulepWith the linear FM signal of LFM waveforms generator transmitting
Meet following relationship between bandwidth B and chirp rate μ:
Wherein, K indicates bandwidth B and switching frequency fpRatio, N*Indicate that natural number, L indicate chirp rate μ and switching frequency
Rate fpSquare ratio, Z indicate integer.
Preferably, the baseband signal that the matched filter exports low-pass filter, including harmonic component and fundamental wave point
Amount carries out pulse compression, obtains the matched filter output signal of multiple peak values, and matched filter output signal indicates are as follows:
Wherein, So(θ, t) indicates matched filter output signal, and θ indicates incoming signal angle, and t indicates signal moment, Sr
(θ, t) indicates the echo-signal of transmitting signal,Indicate the receptance function of matched filter, t0Indicate signal
By being emitted to the time difference of echo signal reception, u indicates echo-signal delay, and m indicates the serial number of m subharmonic, rect function table
It is shown as rect (t/T)=1, (| t/T |≤1), T is linear FM signal pulse length,
The Fourier coefficient of the m subharmonic of the entire array of table, N indicate that used array number when array df, n indicate array element sequence
Number, am,nIndicate that the Fourier coefficient of the m subharmonic of the n-th array element, j indicate imaginary symbols, β indicates array wave number, and d indicates battle array
First spacing, fcIndicate the carrier frequency of echo-signal, sinc function representation is sinc (x)=sin (π x)/π x.
Preferably, it is handled, is obtained by search corresponding using output signal of the signal processor to matched filter
Harmonic constant feature, arrival bearing calculated relationship of the signal processor for echo-signal are as follows:
Wherein, θnIt indicates to measure obtained incoming signal angle, Ф using n-th and the (n+1)th subharmonicnIndicate array
N-th harmonic coefficient, Фn+1Indicate the (n+1)th subharmonic coefficient of array.
Wherein, the Фn+1Vector formIt indicates are as follows:
Wherein, N × N indicates used array number × harmonic number when array df, and the value of array number and harmonic number is all etc.
In N,Indicate array factor vector, HCMN×NIndicate harmonic characterisitic matrix,Indicate harmonic characterisitic matrix
Inverse matrix,Indicate harmonic constant vector.
Wherein, the array factor vectorWherein, subscript T table
Show transposed matrix；The harmonic constant vector
The harmonic characterisitic matrix H CMN×NIt indicates are as follows:
Wherein, am,nFor the Fourier coefficient of the m subharmonic of the n-th array element, k≤m≤k+N-1,1≤n≤N.
Compared with prior art, the present invention have it is following the utility model has the advantages that
1, the present invention uses time-modulation array, has the characteristics that low complex degree, low cost.
2, the present invention uses pulse compression technique, and the storage gain of linear FM signal can be transferred directly to echo side
To calculating in, may be implemented to detection target high-precision direction finding.
Detailed description of the invention
Upon reading the detailed description of non-limiting embodiments with reference to the following drawings, other feature of the invention,
Objects and advantages will become more apparent upon:
Fig. 1 is basic structure block diagram of the invention.
Fig. 2 is transmitting signal relationship between frequency and time figure.
Fig. 3 is that echo-signal passes through modulated relationship between frequency and time figure.
Fig. 4 is to apply echo-signal in example 1 to pass through modulated relationship between frequency and time figure.
Fig. 5 is to apply echo-signal modulated in example 1 through the compressed time domain waveform of extra pulse.
Fig. 6 is the root-mean-square error of signal-to-noise ratio system direction finding when being respectively 0dB, 5dB, 10dB.
Specific embodiment
The present invention is described in detail combined with specific embodiments below.Following embodiment will be helpful to the technology of this field
Personnel further understand the present invention, but the invention is not limited in any way.It should be pointed out that the ordinary skill of this field
For personnel, without departing from the inventive concept of the premise, several changes and improvements can also be made.These belong to the present invention
Protection scope.
There are two types of operating modes, respectively emission mode and reception pattern for present invention tool.When system works in emission mode
When, all RF switches are in closed state, realize all channel equal amplitude feeds and by linear FM signal to space spoke
It penetrates.After system completes the transmitting of single pulse signal, system is set to enter reception pattern by duplexer control.In reception pattern
In, the RF switch in each channel is periodically opened and closed, and carries out time-modulation to signal is received.It receives
LFM Echo signal can generate multiple harmonic component in time-frequency domain after ovennodulation.By the mixed of fundametal compoment and harmonic component
After signal is closed by matched filter progress pulse compression, the matched filter output signal of available multi-peak.By right
Each peak point of output signal does corresponding harmonic constant characteristics extraction, and substitutes into corresponding formula and calculate and can obtain
To the azimuth information of detection target.Suitable for the guidance radar of miniaturization, automobile collision avoidance radar, pilotless automobile detection system
Equal platforms.
A kind of time-modulation array df system based on pulse compression technique provided according to the present invention, as shown in Figure 1,
Including antenna array module 1, radio-frequency switch module 2, digital control module 14, duplexer 3, RF local oscillator module 8, signal transmitting
Module, signal receiving module；Antenna array module 1 is sequentially connected radio-frequency switch module 2, duplexer 3, and duplexer 3 is separately connected
Signal emission module, signal receiving module, digital control module 14 are separately connected radio-frequency switch module 2, duplexer 3, radio frequency sheet
Vibration module 8 is separately connected signal emission module, signal receiving module.
Preferably, the antenna array module 1 includes one or more unit printed dipole antenna array elements, antenna
Spacing between array element is half-wavelength；The radio-frequency switch module 2 includes one or more single-pole single-throw switch (SPST)s；Antenna array
Column unit and single-pole single-throw switch (SPST) correspond.Antenna array module 1 is used to radiate pulse signal to space and receives target
Echo-signal.Radio-frequency switch module 2 is used to carry out time-modulation to echo-signal.In preference, antenna array module 1 includes
Eight unit printed dipole antenna array elements, radio-frequency switch module 2 include eight single-pole single-throw switch (SPST)s.
Preferably, the signal emission module includes LFM waveforms generator 7, the first frequency mixer 6, bandpass filter
5, power amplifier 4, LFM waveforms generator 7 be sequentially connected the first frequency mixer 6, bandpass filter 5, power amplifier 4,
Duplexer 3, the first frequency mixer 6 connect RF local oscillator module 8.
Preferably, the signal receiving module include low-noise amplifier 9, the second frequency mixer 10, low-pass filter 11,
With filter 12, signal processor 13, one end of low-noise amplifier 9 connects duplexer 3, the other end of low-noise amplifier 9
It is sequentially connected the second frequency mixer 10, low-pass filter 11, matched filter 12, signal processor 13, the connection of the second frequency mixer 10
RF local oscillator module 8, matched filter 12 connect LFM waveforms generator 7.
Preferably, the radio-frequency switch module 2 is used to carry out time-modulation to echo-signal, and the duplexer 3 is for cutting
It changes and penetrates/reception state, the digital control module 14 is used to control the modulation of each single-pole single-throw switch (SPST) of radio-frequency switch module 2
Timing and the switching of the state of duplexer 3.In preference, digital control module 14 includes FPGA.
Preferably, when system is in emission state, duplexer 3 is switched to transmitting branch, the hilted broadsword of radio-frequency switch module 2
Single-throw switch is completely in closed state；The chirp pulse signal that LFM waveforms generator 7 generates is mixed by first
Frequency device 6 is modulated to carrier frequency, power amplification is carried out using power amplifier 4 after the filtering of bandpass filter 5, after amplification
Signal successively by duplexer 3, closed state radio-frequency switch module 2 after by 1 radiation direction space of antenna array module.Signal
When transmitting, RF switch is all closed, and realizes all channel equal amplitude feeds and by linear FM signal to spatial emission.
Preferably, after system completes the transmitting of linear FM signal, duplexer 3 is switched to reception state, echo-signal
It after being received via antenna array module 1, is periodically modulated by radio-frequency switch module 2, wherein modulated signal is controlled by number
Molding block 14 generates, and modulated signal is successively after duplexer 3, low-noise amplifier 9, via the second frequency mixer 10 by under
Baseband signal is become by low-pass filter 11 after frequency conversion.
Preferably, the modulating frequency f of the radio-frequency switch module 2pThe linear tune emitted with LFM waveforms generator 7
Meet following relationship between the chirp rate μ of frequency signal:
The modulating frequency f of the radio-frequency switch module 2pThe linear FM signal emitted with LFM waveforms generator 7
Bandwidth B and chirp rate μ between meet following relationship:
Wherein, K indicates bandwidth B and switching frequency fpRatio, N*Indicate that natural number, L indicate chirp rate μ and switching frequency
Rate fpSquare ratio, Z indicate integer.
Preferably, the baseband signal that the matched filter 12 exports low-pass filter 11, including harmonic component and base
Wave component carries out pulse compression, obtains the matched filter output signal of multiple peak values, and matched filter output signal indicates
Are as follows:
Wherein, So(θ, t) indicates matched filter output signal, and θ indicates incoming signal angle, and t indicates signal moment, Sr(θ,
T) echo-signal of transmitting signal is indicated,Indicate the receptance function of matched filter, t0Indicate signal by
It is emitted to the time difference of echo signal reception, u indicates echo-signal delay, and m indicates the serial number of m subharmonic, rect function representation
For rect (t/T)=1, (| t/T |≤1/2), T is linear FM signal pulse length,
The Fourier coefficient of the m subharmonic of the entire array of table, N indicate that used array number when array df, n indicate array element sequence
Number, am,nIndicate that the Fourier coefficient of the m subharmonic of the n-th array element, j indicate imaginary symbols, β indicates array wave number, and d indicates battle array
First spacing, fcIndicate the carrier frequency of echo-signal, sinc function representation is sinc (x)=sin (π x)/π x.
Preferably, it is handled using output signal of the signal processor 13 to matched filter, phase is obtained by search
The harmonic constant feature answered, arrival bearing calculated relationship of the signal processor 13 for echo-signal are as follows:
Wherein, θnIt indicates to measure obtained incoming signal angle, Ф using n-th and the (n+1)th subharmonicnIndicate array
N-th harmonic coefficient, Фn+1Indicate the (n+1)th subharmonic coefficient of array.
Wherein, the Фn+1Vector formIt indicates are as follows:
Wherein, N × N indicates used array number × harmonic number when array df, and the value of array number and harmonic number is all etc.
In N,Indicate array factor vector, HCMN×NIndicate harmonic characterisitic matrix,Indicate harmonic characterisitic matrix
Inverse matrix,Indicate harmonic constant vector.
Wherein, the array factor vectorWherein, subscript T table
Show transposed matrix；The harmonic constant vector
The harmonic characterisitic matrix H CMN×NIt indicates are as follows:
Wherein, am,nFor the Fourier coefficient of the m subharmonic of the n-th array element, k≤m≤k+N-1,1≤n≤N.
Embodiment 1:
Assuming that the linear FM signal carrier frequency of transmitting is f0=2GHz, bandwidth B=10MHz, duration T=100 μ s, frequency modulation
Slope is μ=B/T=1011.The method phase direction azimuth of target facing arrays is θ=15 °, the antenna array array element spacing d
=λ/2=15cm, λ=c/f0For the wavelength of incoming signal, c is the speed that electromagnetic wave is propagated in a vacuum.Emit signal when
Frequency relational graph is as shown in Figure 2, and signal has ideal linear relationship in time-frequency domain.
After the completion of signal transmitting, array is switched to reception state.When reception, each RF switch in unit period successively
Open carry out time-modulation, modulation period Tp=1 μ s, modulating frequency fp=1MHz, within a modulation period, Mei Getian
Line unit turn-on time is 0.125.Signal by array received and is modulated after target reflects, entire LFM Echo signal
Reception periodicity be M=T/Tp=100.Fig. 3 show received echo-signal by modulated relationship between frequency and time figure.In figure
It can be seen that incident linear FM signal can be expressed as unlimited linear frequency modulation in reflection signal after time-modulation
The sum of harmonic signal, and the difference of the carrier frequency of adjacent harmonic wave is the modulation frequency of switch between these linear frequency modulation harmonic signals
Rate.It, will be in time domain and frequency between each harmonic signal when the band of linear FM signal is wider than the modulating frequency of switch
There will be aliasing, this makes the coefficient that each harmonic can not be accurately obtained using the method for traditional Fourier transformation.
Fig. 4 gives echo-signal of the target at 35 ° and is switched on and off corresponding relationship between frequency and time figure after modulation.It can be seen in figure
Out, after time-modulation, echo-signal is extended to the sum of multiple linear frequency modulation harmonic signal, and adjacent harmonic wave in time-frequency domain
Carrier frequency difference be switch modulating frequency.Simultaneously because each harmonic signal has same modulating frequency, therefore it can
It is independently distinguished with being matched filter.In addition, the cross-sectional view of each time-frequency figure is equivalent to the instantaneous power spectrum of different moments.Figure
In as can be seen that the instantaneous power spectral curve of different moments is identical other than carrier frequency, illustrate that each order harmonics power exists
Different moments have sufficiently stable proportionate relationship.But when arrival bearing's difference of echo-signal, each order harmonics power ratio
Difference, the relationship between power ratio have reacted the directional information of echo-signal.
Modulated signal in Fig. 4 after matched filter output time-domain waveform as shown in figure 5, in figure as can be seen that
Output signal with filter has multiple peak points, and it is cumulative can to regard that multiple harmonic signals are compressed through extra pulse as.
Assuming that time delayed signal t0=0, the position after pulse compression where peak point is t=0 μ s, and red upper triangle mark is used in figure
Show.Each order harmonics are indicated through the compressed peak point of extra pulse using the upper triangle of blue.Spacing between adjacent peak point
For Δ t=| fp/μ|。
Fig. 6 show the root-mean-square error simulation result of each estimation angle when different incidence angles, wherein each emulation is joined
Number is identical in Fig. 4 and Fig. 5.Wherein ranges of incidence angles is uniformly distributed between -65 ° to+65 ° and with 5 ° for interval, environment letter
It makes an uproar and is uniformly distributed between 0dB to 10dB by interval of 5dB than range, it is imitative that each simulated point is carried out 2000 Monte Carlos
Very.Since each harmonic is extracted after matched filtering, so the gain that pulse compresses itself improves harmonic constant
Accuracy when extraction, therefore it can be seen that this method achieves higher direction finding precision in figure.It is respectively 0dB in signal-to-noise ratio,
When 5dB and 10dB, average root-mean-square error is respectively 0.032 °, 0.018 ° and 0.010 ° in bearing zone.It can see simultaneously
Out, as the aperture efficiency of the corresponding array of increase of incident angle reduces, so the root-mean-square error of direction finding is increased.Figure
In it can also be seen that direction finding root-mean-square error value has slight fluctuations, degree of fluctuation when echo-signal is incident from different perspectives
Reduce with signal-to-noise ratio and becomes violent.This is because the energy value of each harmonic is not quite similar when incidence angles degree, even if place
Under same signal-to-noise ratio environment, different Harmonics Calculations obtain θnPrecision it is different, thus final estimated result is produced slightly
The influence of fluctuation.
Specific embodiments of the present invention are described above.It is to be appreciated that the invention is not limited to above-mentioned
Particular implementation, those skilled in the art can make a variety of changes or modify within the scope of the claims, this not shadow
Ring substantive content of the invention.In the absence of conflict, the feature in embodiments herein and embodiment can any phase
Mutually combination.
Claims (10)
1. a kind of time-modulation array df system based on pulse compression technique, which is characterized in that including antenna array module
(1), radio-frequency switch module (2), digital control module (14), duplexer (3), RF local oscillator module (8), signal emission module,
Signal receiving module；Antenna array module (1) is sequentially connected radio-frequency switch module (2), duplexer (3), and duplexer (3) connects respectively
Signal emission module, signal receiving module are connect, digital control module (14) is separately connected radio-frequency switch module (2), duplexer
(3), RF local oscillator module (8) is separately connected signal emission module, signal receiving module.
2. the time-modulation array df system according to claim 1 based on pulse compression technique, which is characterized in that institute
Stating antenna array module (1) includes one or more unit printed dipole antenna array elements, between antenna array unit
Spacing is half-wavelength；The radio-frequency switch module (2) includes one or more single-pole single-throw switch (SPST)s；Antenna array unit and hilted broadsword
Single-throw switch corresponds.
3. the time-modulation array df system according to claim 1 based on pulse compression technique, which is characterized in that institute
Stating signal emission module includes LFM waveforms generator (7), the first frequency mixer (6), bandpass filter (5), power amplification
Device (4), LFM waveforms generator (7) be sequentially connected the first frequency mixer (6), bandpass filter (5), power amplifier (4),
Duplexer (3), the first frequency mixer (6) connect RF local oscillator module (8).
4. the time-modulation array df system according to claim 1 based on pulse compression technique, which is characterized in that institute
Stating signal receiving module includes low-noise amplifier (9), the second frequency mixer (10), low-pass filter (11), matched filter
(12), signal processor (13), one end of low-noise amplifier (9) connect duplexer (3), low-noise amplifier (9) it is another
End is sequentially connected the second frequency mixer (10), low-pass filter (11), matched filter (12), signal processor (13), and second is mixed
Frequency device (10) connects RF local oscillator module (8), and matched filter (12) connects LFM waveforms generator (7).
5. the time-modulation array df system according to claim 1 based on pulse compression technique, which is characterized in that institute
Radio-frequency switch module (2) are stated for carrying out time-modulation to echo-signal, the duplexer (3) is for switching transmitting/reception shape
State, the digital control module (14) are used to control the modulation timing of each single-pole single-throw switch (SPST) of radio-frequency switch module (2) and double
The state of work device (3) switches.
6. the time-modulation array df system according to claim 3 based on pulse compression technique, which is characterized in that when
When system is in emission state, duplexer (3) is switched to transmitting branch, and the single-pole single-throw switch (SPST) of radio-frequency switch module (2) is whole
In closed state；The chirp pulse signal that LFM waveforms generator (7) generates is modulated by the first frequency mixer (6)
To carrier frequency, power amplification, amplified letter are carried out using power amplifier (4) after bandpass filter (5) filtering
Number successively by duplexer (3), closed state radio-frequency switch module (2) after by antenna array module (1) radiation direction space.
7. the time-modulation array df system according to claim 4 based on pulse compression technique, which is characterized in that when
After system completes the transmitting of linear FM signal, duplexer (3) is switched to reception state, and echo-signal is via antenna array module
(1) it after receiving, is periodically modulated by radio-frequency switch module (2), wherein modulated signal is produced by digital control module (14)
Raw, modulated signal successively after duplexer (3), low-noise amplifier (9), is downconverted via the second frequency mixer (10)
Become baseband signal by low-pass filter (11) afterwards.
8. the time-modulation array df system according to claim 7 based on pulse compression technique, which is characterized in that institute
State the modulating frequency f of radio-frequency switch module (2)pWith the frequency modulation of the linear FM signal of LFM waveforms generator (7) transmitting
Meet following relationship between slope μ:
The modulating frequency f of the radio-frequency switch module (2)pWith the linear FM signal of LFM waveforms generator (7) transmitting
Meet following relationship between bandwidth B and chirp rate μ:
Wherein, K indicates bandwidth B and switching frequency fpRatio, N*Indicate that natural number, L indicate chirp rate μ and switching frequency fp
Square ratio, Z indicate integer.
9. the time-modulation array df system according to claim 7 based on pulse compression technique, which is characterized in that institute
The baseband signal that matched filter (12) exports low-pass filter (11), including harmonic component and fundametal compoment are stated, arteries and veins is carried out
Punching press contracting, obtains the matched filter output signal of multiple peak values, and matched filter output signal indicates are as follows:
Wherein, So(θ, t) indicates matched filter output signal, and θ indicates incoming signal angle, and t indicates signal moment, Sr(θ,t)
Indicate the echo-signal of transmitting signal,Indicate the receptance function of matched filter, t0Indicate signal by
It is emitted to the time difference of echo signal reception, u indicates echo-signal delay, and m indicates the serial number of m subharmonic, rect function representation
For rect (t/T)=1, (| t/T |≤1), T is linear FM signal pulse length,
Indicate that the Fourier coefficient of the m subharmonic of entire array, N indicate that used array number when array df, n indicate array element sequence
Number, am,nIndicate that the Fourier coefficient of the m subharmonic of the n-th array element, j indicate imaginary symbols, β indicates array wave number, and d indicates battle array
First spacing, fcIndicate the carrier frequency of echo-signal, sinc function representation is sinc (x)=sin (π x)/π x.
10. the time-modulation array df system according to claim 4 based on pulse compression technique, which is characterized in that
The output signal of matched filter is handled using signal processor (13), it is special to obtain corresponding harmonic constant by search
Sign, arrival bearing calculated relationship of the signal processor (13) for echo-signal are as follows:
Wherein, θnIt indicates to measure obtained incoming signal angle, Ф using n-th and the (n+1)th subharmonicnIndicate the n-th of array
Subharmonic coefficient, Фn+1Indicate the (n+1)th subharmonic coefficient of array.
Wherein, the Фn+1Vector formIt indicates are as follows:
Wherein, the value of used array number × harmonic number when N × N expression array df, array number and harmonic number is equal to N,Indicate array factor vector, HCMN×NIndicate harmonic characterisitic matrix,Indicate harmonic characterisitic inverse of a matrix square
Battle array,Indicate harmonic constant vector.
Wherein, the array factor vectorWherein, subscript T indicates to turn
Set matrix；The harmonic constant vector
The harmonic characterisitic matrix H CMN×NIt indicates are as follows:
Wherein, am,nFor the Fourier coefficient of the m subharmonic of the n-th array element, k≤m≤k+N-1,1≤n≤N.
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| CN109946690A (en) * | 2019-04-04 | 2019-06-28 | 电子科技大学 | A kind of object detection method based on pulse energy compress technique |
| CN110289922A (en) * | 2019-07-09 | 2019-09-27 | 南京航空航天大学 | A kind of time-modulation and demodulation method |
| CN110635248A (en) * | 2019-09-17 | 2019-12-31 | 上海交通大学 | Phased array direction-finding antenna based on periodic phase modulation and application method thereof |
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| CN113572509B (en) * | 2021-06-23 | 2024-04-05 | 南京理工大学 | MIMO radar system based on time modulation array and beam forming method |
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