CN109257313A - Signal demodulating method based on compressed sensing technology - Google Patents
Signal demodulating method based on compressed sensing technology Download PDFInfo
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- CN109257313A CN109257313A CN201811096408.8A CN201811096408A CN109257313A CN 109257313 A CN109257313 A CN 109257313A CN 201811096408 A CN201811096408 A CN 201811096408A CN 109257313 A CN109257313 A CN 109257313A
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/10—Frequency-modulated carrier systems, i.e. using frequency-shift keying
- H04L27/14—Demodulator circuits; Receiver circuits
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/10—Frequency-modulated carrier systems, i.e. using frequency-shift keying
- H04L27/14—Demodulator circuits; Receiver circuits
- H04L27/144—Demodulator circuits; Receiver circuits with demodulation using spectral properties of the received signal, e.g. by using frequency selective- or frequency sensitive elements
- H04L27/148—Demodulator circuits; Receiver circuits with demodulation using spectral properties of the received signal, e.g. by using frequency selective- or frequency sensitive elements using filters, including PLL-type filters
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02D—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
- Y02D30/00—Reducing energy consumption in communication networks
- Y02D30/50—Reducing energy consumption in communication networks in wire-line communication networks, e.g. low power modes or reduced link rate
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Abstract
The present invention relates to a kind of signal demodulating methods based on compressed sensing technology, comprising: pre-processes to original signal, obtains signal to be sampled；Unequal interval sampling is carried out to the signal to be sampled, obtains sampled signal；It is configured to demodulate the perception matrix of the sampled signal；The frequency location of the original signal is demodulated according to the sampled signal and the perception matrix.The signal demodulating method passes through the compressed sensing sampling technique of unequal interval and perceives matrix by construction, the signal that low rate sampled can be restored, so that average sample rate substantially reduces, and Frequency mixing processing is not used in the signal demodulating method, therefore power consumption significantly reduces.
Description
Technical field
The invention belongs to fields of communication technology, and in particular to a kind of signal demodulating method based on compressed sensing technology.
Background technique
In traditional research method, the acquisition and processing of signals in wireless communications are divided into four steps: sample, compress,
Transmission and decompression.However if signal itself is compressible, if sampling and compression can be merged into same process.
2006, Candes prove signal can from its partial Fourier transform coefficient Accurate Reconstruction, and in this, as compression feel
The theoretical basis known, compressed sensing technology become a kind of completely new signal acquisition method.According to compressive sensing theory, if one
Signal is in some domainIn can by rarefaction representation (such as linearly being synthesized with K base vector), then can be slightly larger than K sampling
Point value is indicated.
Currently, the compressed sensing receiver that the receiver based on compressed sensing technology has high speed to be mixed, this receiver have
Multiple types: Stochastic Modulation receiver, Stochastic Modulation pre-integration receiver and random volume machine receiver etc..Stochastic Modulation receiver
Radiofrequency signal is multiplied with a high-speed (being greater than Nyquist sampling rate) pseudo-random sequence, it will with a low-pass filter
The signal filtering multiplied, then carries out sampling demodulation with low rate.As long as filtering bandwidth and sampling rate are greater thanSparse signal can be restored, wherein K is radiofrequency signal maximum frequency points, and W is nyquist sampling
Rate.Stochastic Modulation pre-integration receiver is to be mixed radiofrequency signal with one group of pseudo-random sequence, then uses integrator
Signal after multichannel mixing is integrated, low rate sampling demodulation finally is carried out to this group of integral result.Random convolution receives
Machine is by radiofrequency signal and random wide-band signal convolution, then with the sampling of low rate unequal interval and demodulated signal.
In short, high speed mixing compressed sensing receiver restores original signal by low rate sampling, sampling speed is reduced
Rate, but the pseudo-random signal generator due to having used high-speed, power consumption are higher, it is therefore desirable to which providing one kind can reduce function
The compressed sensing signal demodulating method of consumption.
Summary of the invention
In order to solve the above-mentioned problems in the prior art, the present invention provides a kind of letters based on compressed sensing technology
Number demodulation method.The technical problem to be solved in the present invention is achieved through the following technical solutions:
The present invention provides a kind of signal demodulating methods based on compressed sensing technology, which comprises
S1: pre-processing original signal, obtains signal to be sampled；
S2: unequal interval sampling is carried out to the signal to be sampled, obtains sampled signal；
S3: it is configured to demodulate the perception matrix of the sampled signal；
S4: the frequency location of the original signal is demodulated according to the sampled signal and the perception matrix.
In one embodiment of the invention, the S1 includes:
The original signal that receiver receives is filtered and is put respectively by bandpass filter and low-noise amplifier
Greatly, the signal to be sampled is obtained.
In one embodiment of the invention, the expression formula of the signal to be sampled are as follows:
Sr(t)=cos (2 π fct+φ1)cos(2πf0Nt),
Wherein, f0For the frequency for modulating base load wave, fcFor the frequency of carrier signal, fc=Mf0, M is positive integer, and n is original
The frequency location of signal,For phase.
In one embodiment of the invention, the S2 includes:
To the signal to be sampled in time interval T0It is interior to carry out K unequal interval sampling, obtain K sampling point value, institute
State the expression formula of sampling point value are as follows:
,
Wherein, T0=1/f0, G (k) is additive white Gaussian noise, and N is parameter, k=1,2,3 ... K, m=M mod N.
In one embodiment of the invention, the S3 includes:
Construction perceives matrix, the expression formula of the perception matrix by the sine and cosine base that m-cosine and sinusoidal vector form
Are as follows: φ=[φ1 φ2 … φL], wherein
In one embodiment of the invention, the S3 includes: construction Fourier's base perception matrix, Fourier's base sense
Know the expression formula of matrix are as follows: φ=[φ1 φ2 … φL], wherein
In one embodiment of the invention, the S4 includes:
S41: least-squares estimation value t is calculated according to the sampled signal and the perception matrix；
S42: two maximum value t are chosen in the least-squares estimation value t1And t2；
S43: the maximum value t is obtained1And t2Corresponding frequency location p and q, then p=m+n, q=m-n, wherein p > q；
S44: the frequency location n of the original signal is obtained according to p=m+n, q=m-n.
In one embodiment of the invention, before the S41 further include:
The K sampling point value is expressed as vector form, i.e. x=(x1,x2,…,xK)T, wherein
In one embodiment of the invention, the expression formula of the least-squares estimation value t are as follows:
Compared with prior art, the beneficial effects of the present invention are:
1, the present invention is based on the signal demodulating methods of compressed sensing technology by the compressed sensing sampling technique of unequal interval,
And by construction perception matrix, restore sparse signal by sampled value, can to the radiofrequency signal that low rate sampled into
Row restores, so that the average sample rate of receiver substantially reduces.
2, the present invention is based on the signal demodulating methods of compressed sensing technology not to carry out Frequency mixing processing, therefore significantly reduces function
Consumption.
Detailed description of the invention
Fig. 1 is a kind of flow chart of signal demodulating method based on compressed sensing technology provided in an embodiment of the present invention；
Fig. 2 is a kind of method of sampling schematic diagram of unequal interval provided in an embodiment of the present invention；
Fig. 3 is a kind of structural schematic diagram of signal receiver based on compressed sensing technology provided in an embodiment of the present invention.
Specific embodiment
Below in conjunction with specific embodiment, the present invention will be described in detail, and embodiments of the present invention are not limited thereto.
Referring to Figure 1, Fig. 1 is a kind of signal demodulating method based on compressed sensing technology provided in an embodiment of the present invention
Flow chart.The signal demodulating method of the present embodiment includes:
S1: pre-processing original signal, obtains signal to be sampled；
S2: unequal interval sampling is carried out to the signal to be sampled, obtains sampled signal；
S3: it is configured to demodulate the perception matrix of the sampled signal；
S4: the frequency location of the original signal is demodulated according to the sampled signal and the perception matrix.
Further, the S1 includes:
The original signal that receiver receives is filtered and is put respectively by bandpass filter and low-noise amplifier
Greatly, the signal to be sampled is obtained.
Specifically, the expression formula of the signal to be sampled are as follows:
Sr(t)=cos (2 π fct+φ1)cos(2πf0Nt),
Wherein, f0To modulate base load wave frequency rate, fcFor the frequency of carrier signal, fc=Mf0, M is positive integer, and n is original letter
Number frequency location,For phase.That is, the frequency f of the carrier signalcFor the modulation base load wave frequency rate f0M
Times.
Further, in the present embodiment, the original signal is by an intermediate-freuqncy signal cos (2 π f0Nt) multiplied by one
Carrier signal cos (2 π fct+φ1) formed, wherein f0N is the frequency of the intermediate-freuqncy signal.In the present embodiment, it finally wants
What is obtained is substantially the frequency location of intermediate-freuqncy signal.
By the way that intermediate-freuqncy signal is modulated to other frequencies up, the noise in transmission can reduce；Realize frequency division multiplexing, i.e.,
Same transmission multiple signals are without aliasing between same frequency；And farther distance can be propagated, is conducive to receive.
Further, Fig. 2 is referred to, Fig. 2 is a kind of method of sampling signal of unequal interval provided in an embodiment of the present invention
Figure.The S2 includes:
To the signal to be sampled in time interval T0It is interior to carry out K unequal interval sampling, K sampling point value is obtained,
In, T0=1/f0, the expression formula of the K sampling point value are as follows:
Wherein, G (k) is additive white Gaussian noise, and N is parameter, k=1,2,3 ... K, m=M mod N.Mod indicates remainder
Number operation, that is, m is equal to M divided by the obtained remainder of N.
Specifically, N is to be limited with a parameter related with n, N by the frequency location n of original signal.In this implementation
In example, the physical relationship of N and n are as follows: L >=n+N,But it is not limited to this.
It is meant that downward rounding operation, i.e. L take the max-int smaller than (N-1)/2.
In addition, { μ 1, μ 2 ..., μ k } is the circular difference set that one group of parameter is (N, K, λ) in above-mentioned expression formula.If root
According to Nyquist sampling rate, we need to sample N number of sampled point, then can be obtained by circular difference set, it is only necessary to sample K point just
Original signal can be restored.It is i.e. original to need to sample N number of sampled point at { μ 1, μ 2 ..., μ k }, and this situation only need to be
K sampled point is sampled at { μ 1, μ 2 ..., μ k } to restore original signal, and K < N.
From above formula as can be seen that containing two frequency bins value in the sampled signal, i.e. (m+n) f0(m-n) f0。
Then, using compressive sensing theory, the two frequency point (m+n) f are estimated that by above-mentioned K sampled point0With
(m-n)f0Value, and then the frequency location n of original signal can be demodulated.
Specifically, the S3 includes:
Construction one perceives matrix, the expression of the perception matrix by the sine and cosine base that m-cosine and sinusoidal vector form
Formula are as follows: φ=[1 φ 2 ... φ of φL], wherein
It should be noted that the signal due to the present embodiment is cosine form, the perception matrix of the present embodiment is used
Sine and cosine base perceives matrix, however in other embodiments, the perception matrix of other forms also can be used.
Alternately, the perception matrix can be also configured to Fourier's base perception matrix, and Fourier's base perceives square
The expression formula of battle array are as follows: φ=[1 φ 2 ... φ of φL], wherein
Further, the S4 includes:
S41: least-squares estimation value t is obtained according to the sampled signal and the perception matrix；
Specifically, the K sampling point value that unequal interval sampling obtains in step S2 is expressed as vector form first,
That is x=(x1,x2,…,xK)T, wherein
The expression formula of the least-squares estimation value t are as follows:Wherein, the L of v=1,2,3 ....
S42: two maximum value t are chosen in the least-squares estimation value t1And t2；
S43: the maximum value t is obtained1And t2Corresponding frequency location p and q, then p=m+n, q=m-n, wherein p > q；
It is learnt according to the analysis of the expression formula of above-mentioned sampled signal, at m+n or m-n frequency location, t can be larger for one
Value, other positions are lesser value.Therefore, two maximum value t in the least-squares estimation value t are enabled1And t2It is corresponding
Frequency location be p and q, then p=m+n, q=m-n.
S44: the frequency location n of the original signal is obtained according to p=m+n, q=m-n.
Specifically, m=1/2 (p+q), n=1/2 (p-q) calculate the value of n, the frequency position of the as described original signal
It sets, that is, completes the demodulation to original signal.
Signal demodulating method based on compressed sensing technology of the invention passes through the compressed sensing sampling technique of unequal interval,
And by construction perception matrix, restore sparse signal by sampled value, can to the radiofrequency signal that low rate sampled into
Row restores, so that the average sample rate of receiver substantially reduces.In addition, the signal demodulating method does not carry out Frequency mixing processing, because
This reduces power consumption.
Fig. 3 is referred to, Fig. 3 is a kind of knot of signal receiver based on compressed sensing technology provided in an embodiment of the present invention
Structure schematic diagram.The signal receiver includes bandpass filter 1, low-noise amplifier 2, sample holding unit 3,4 and of sampling unit
Micro-control unit 5.Bandpass filter 1 is connected to low-noise amplifier 2, and bandpass filter 1 is used to input the radio frequency letter received
Number and garbage signal is filtered out.Low-noise amplifier 2 is connected to sampling hold circuit 3, and low-noise amplifier 2 is used for filter
Radiofrequency signal after wave carries out signal enhanced processing.Sample holding unit 3 is connected to sampling unit, and sample holding unit 3 is used for
It captures the signal voltage value of particular point in time and keeps the signal voltage value.Sampling unit 4 for it is amplified to signal to
Sampled signal is sampled, and sampling unit 4 includes enable end EN, and the enable end EN is separately connected sampling hold circuit 3 and low
Noise amplifier 2 makes low-noise amplifier 2 and sampling hold circuit 3 only just work when sampling for allowing, and
It is in close state in other times, the power consumption of receiver entire in this way will be only dependent upon the Mean Speed of sampling, reduce whole
Body power consumption.In the present embodiment, sampling unit 4 is ADC analog-digital converter.
Further, micro-control unit 5 is separately connected low-noise amplifier 2, sample holding unit 3 and sampling unit 4, uses
Corresponding operating is executed in controlling low-noise amplifier 2, sample holding unit 3 and sampling unit 4 respectively.In the present embodiment, micro-
Control unit 5 is single-chip microcontroller.Further, the signal demodulation process in above-mentioned signal demodulating method is also in micro-control unit 5
It carries out.
The present embodiment constructs a kind of signal receiver with transmittability and low-power consumption based on compressed sensing technology,
The signal receiver structure is simple, does not need local oscillator and generates local oscillated signal, low-noise amplifier and sampling are kept
Circuit only works in sampling period, closes in other times, the power consumption of such receiver is only related with average sample rate.According to
The theory of compressed sensing, if signal is very sparse, the perception matrix that compression ratio can be used very big, so that sampling unit is with very
Low rate is sampled, and the frequency location of the original radio frequency signal received is then recovered, so that the signal receives
The power consumption of machine can achieve very low level.
The above content is a further detailed description of the present invention in conjunction with specific preferred embodiments, and it cannot be said that
Specific implementation of the invention is only limited to these instructions.For those of ordinary skill in the art to which the present invention belongs, exist
Under the premise of not departing from present inventive concept, a number of simple deductions or replacements can also be made, all shall be regarded as belonging to of the invention
Protection scope.
Claims (9)
1. a kind of signal demodulating method based on compressed sensing technology characterized by comprising
S1: pre-processing original signal, obtains signal to be sampled；
S2: unequal interval sampling is carried out to the signal to be sampled, obtains sampled signal；
S3: it is configured to demodulate the perception matrix of the sampled signal；
S4: the frequency location of the original signal is demodulated according to the sampled signal and the perception matrix.
2. signal demodulating method according to claim 1, which is characterized in that the S1 includes:
The original signal that receiver receives is filtered and is amplified respectively by bandpass filter and low-noise amplifier, is obtained
Obtain the signal to be sampled.
3. signal demodulating method according to claim 2, which is characterized in that the expression formula of the signal to be sampled are as follows:
Sr(t)=cos (2 π fct+φ1)cos(2πf0Nt),
Wherein, f0For the frequency for modulating base load wave, fcFor the frequency of carrier signal, fc=Mf0, M is positive integer, and n is original signal
Frequency location,For phase.
4. signal demodulating method according to claim 3, which is characterized in that the S2 includes:
To the signal to be sampled in time interval T0It is interior to carry out K unequal interval sampling, obtain K sampling point value, the sampling
The expression formula of point value are as follows:
,
Wherein, T0=1/f0, G (k) is additive white Gaussian noise, and N is parameter, k=1,2,3 ... K, m=M mod N.
5. signal demodulating method according to claim 4, which is characterized in that the S3 includes:
Construction perceives matrix, the expression formula of the perception matrix are as follows: φ by the sine and cosine base that m-cosine and sinusoidal vector form
=[φ1 φ2 … φL], wherein
6. signal demodulating method according to claim 4, which is characterized in that the S3 includes: construction Fourier's base perception
Matrix, the expression formula of Fourier's base perception matrix are as follows: φ=[φ1 φ2 … φL], wherein
7. signal demodulating method according to claim 5, which is characterized in that the S4 includes:
S41: least-squares estimation value t is calculated according to the sampled signal and the perception matrix；
S42: two maximum value t are chosen in the least-squares estimation value t1And t2；
S43: the maximum value t is obtained1And t2Corresponding frequency location p and q, then p=m+n, q=m-n, wherein p > q；
S44: the frequency location n of the original signal is obtained according to p=m+n, q=m-n.
8. signal demodulating method according to claim 7, which is characterized in that before the S41 further include:
The K sampling point value is expressed as vector form, i.e. x=(x1,x2,…,xK)T, wherein
9. signal demodulating method according to claim 8, which is characterized in that the expression formula of the least-squares estimation value t
Are as follows:
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