CN111464268A - Weak binary phase shift keying signal blind detection method and device - Google Patents
Weak binary phase shift keying signal blind detection method and device Download PDFInfo
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Abstract
The invention provides a method and a device for blind detection of weak binary phase shift keying signals, wherein the method comprises the following steps: determining a signal frequency range for blind detection of a weak binary phase shift keying signal; determining the number n of the sub-channels, and configuring a Duffing system corresponding to each sub-channel for each sub-channel; inputting a signal to be blind-detected into each subchannel, and decomposing the signal to be blind-detected into a sub-frequency band signal to be blind-detected through a filter of each subchannel; s conversion is carried out on the output of the Duffing system corresponding to each sub-channel to obtain the output envelope of the Duffing system of each sub-channel; and detecting whether the output of the Duffing system corresponding to each subchannel has an intermittent chaotic state or not so as to judge whether a weak binary phase shift keying control signal exists or not. According to the scheme of the invention, the blind detection difficulty of the weak binary phase shift keying signal is reduced.
Description
Technical Field
The invention relates to the field of signal detection, in particular to a method and a device for blind detection of weak Binary Phase Shift Keying (BPSK) signals.
Background
Binary Phase Shift Keying (BPSK) signals have high frequency band utilization rate and strong anti-noise interference capability, and are widely applied to various fields such as military and civil use. For the third-party blind reconnaissance, the received weak binary phase shift keying signals are often weak binary phase shift keying signals, so the blind detection problem of the weak binary phase shift keying signals is always the key research content of radio monitoring and communication reconnaissance. Especially, under the condition that the signal-to-noise ratio is lower than-10 dB, the blind detection problem of the signal of the weak binary phase shift keying signal is more difficult.
The prior art "blind detection research of weak BPSK signal using Duffing oscillator and S transform" discloses a blind detection method of weak BPSK signal, but the application background thereof is only to process specific signal, not to process signal within a signal frequency band range. The detection model is that a forward Duffing vibrator and a backward Duffing vibrator are arranged on each channel, S transformation is respectively carried out on output results, and the output envelopes of the time sequences of the two vibrators are integrated to judge whether weak signals exist. This prior art detects the efficiency low, and the blind detection degree of difficulty is still great. The application provides a blind detection method of a weak Binary Phase Shift Keying (BPSK) signal, the application background is to perform blind detection on the binary phase shift keying signal which determines the signal frequency band range of the binary phase shift keying signal blind detection, the application determines the signal frequency band range of the binary phase shift keying signal blind detection, n sub-channels are determined according to the signal frequency band range, and on the basis, a specific implementation mode of analyzing a time-frequency window is adopted. According to the method and the device, the total frequency band to be monitored is divided into a plurality of sub-frequency bands to form monitoring sub-channels, the output time sequence envelope of each sub-channel Duffing system is extracted, and whether an intermittent chaotic state exists in the output of the Duffing system is judged, so that whether a weak BPSK signal exists is judged, and finally the blind detection of the weak BPSK signal is realized. The transition time between the short periodic state and the chaotic state is obtained by improving the built-in frequency, and further good dynamic characteristics are obtained.
In the prior art, "influence of built-in frequency on blind detection of Duffing oscillator weak binary phase shift keying signals" only theoretically discloses influence of the built-in frequency on blind detection performance of Duffing oscillator weak binary phase shift keying signals, a specific detection method is not disclosed, specific application cannot be realized, building of a detection model is incomplete, a method for dividing blind detection frequency bands of weak binary phase shift keying signals is not built, and a detection flow is incomplete. The blind detection in the prior art is still difficult to realize. The application determines a complete model and a method for blind detection of weak binary phase shift keying signals, and the specific application background is to perform the blind detection on the binary phase shift keying signals within a signal frequency band range determined by the blind detection of the binary phase shift keying signals to obtain good dynamic characteristics.
In summary, in the prior art, there is a problem that blind detection of a weak binary phase shift keying signal is difficult.
Disclosure of Invention
In order to solve the technical problems, the invention provides a method and a device for blind detection of a weak binary phase shift keying signal, and the method and the device are used for solving the technical problem that the blind detection of the weak binary phase shift keying signal in the prior art is difficult.
According to a first aspect of the present invention, there is provided a method of blind detection of a weak binary phase shift keying signal, the method comprising the steps of:
step S101: determining a signal frequency band range for the blind detection of a weak binary phase shift keying signal, wherein the signal frequency band range for the blind detection of the binary phase shift keying signal is [ 2 ]f c_min,f c_max]；
Step S102: determining the number of sub-channels according to the signal frequency band range for the blind detection of the weak binary phase shift keying signalnIs anEach subchannel of the subchannels is configured with one subchannelA corresponding Duffing system; whereinnIs a natural number greater than 0;
step S103: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter of each subchannel of the subchannels outputs a subband signal to be blind-detected;
step S104: inputting each sub-frequency band signal of the signal to be blindly detected into a Duffing system corresponding to each sub-channel, and carrying out S transformation on the output of the Duffing system corresponding to each sub-channel of all the sub-channels to obtain the envelope output by each Duffing system;
step S105: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist;
the step S104: inputting each sub-frequency band signal of the signal to be blind-detected into the Duffing system corresponding to each sub-channel, and performing S transformation on the output of the Duffing system corresponding to each sub-channel of all sub-channels to obtain the output envelope of each sub-channel Duffing system, including:
step S1041: acquisition subchanneljFilter output of the sub-band signal to be blindly detectedd j (t) Will bed j (t) Input and sub-channelsjA corresponding Duffing system; to obtain the firstjThe output of the Duffing system of the sub-channels iso j (t)；
Step S1042: are respectively each sub-channeljThe analysis time-frequency window of the S-transform is set,j= 1,2,L,n；
the window function corresponding to the S transform is:
wherein
Is a scale factor in which, among others,ais a constant number of times, and is,ffor frequency, different windows correspondaDifferent, can set up flexibly; window functionw(t) Of (2) centerw 0And radius delta w Respectively as follows:
2Δ w is the time-frequency window width;
step S1043: respectively for each sub-channeljCorresponding to Duffing system outputo j (t) Performing S transformation, the transformation result isS j (t, f)，
S j (t, f) To represento j (t) At a specified timetSum frequencyfThe amplitude of (d);
step S1044: obtaining the output envelope of each subchannel Duffing system, namely, obtaining the output envelope of each subchannel Duffing systemjAt its center frequencyf j Upper calculationS j (t, f) Obtained byS j (t, f) Is the envelope of the Duffing system output, and the corresponding window function has the scale ofσ j =a/f j ，j= 1,2,L,n。
Further, the step S102: determining the number of sub-channels according to the signal frequency band range for the blind detection of the weak binary phase shift keying signalnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0, including:
step S1021: determining the highest symbol rate of a signal to be blind detectedf d_max；
Step S1022: determining subchannel bandwidthB，B<min{2f d_max, 0.06f c_min}；
Step S1023: determining the number of subchannelsnAccording to the lowest frequencyf c_minAnd maximum frequencyf c_maxDetermining the number of divided subchannelsn；
Wherein INT (·) denotes rounding;
step S1024: determiningnThe center frequency of each of the subchannels,f j =f c_min+B/2+B×(j−1)，f j is as followsjThe center frequency of the sub-channels,j= 1,2,L,n；
step S1025: is composed ofnEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; the Duffing system has the function of weak periodic signal detection, and if the input of the Duffing system does not have the weak periodic signal, the Duffing system outputs a chaotic state; if weak periodic signals exist in the input of the Duffing system, the Duffing system outputs a periodic state.
Further, step S103: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter of each subchannel of the subchannels outputs a subband signal to be blindly detected, comprising:
step S1031: is provided withnThe center frequency of the filter of each sub-channel of the sub-channels is consistent with the built-in frequency of the Duffing system corresponding to the center frequency, and the signal to be detected in a blind mode is inputnFor each subchannel of the subchannels, the signal to be blindly detected passes through the filter of each subchannel; first, thejThe output of the filter of the sub-channel isd j (t) And is andd j (t) =s(t)*h j (t) Wherein denotes a convolution of the input signal,s(t) For the incoming signal to be blindly detected,h j (t) Is as followsjThe impulse response of the filters of the sub-channels,j=1,2,L,n；
step S1032: by passingnThe filters of each of the sub-channels output the sub-band signals of the signal to be blind detectedd j (t)。
Further, step S105: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist, and the method comprises the following steps:
the transition time threshold value of the Duffing system of each subchannel for converting from the chaotic state to the periodic state is set asT h =T d_min/2，T d_minThe minimum symbol period of the sub-band signal processed for the Duffing system; duration in transition band satisfying Duffing systemt g <T h If the periodic state exists, the output of the Duffing system is considered to be an intermittent chaotic state; if the output of the Duffing system corresponding to a certain subchannel has an intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist.
According to a second aspect of the present invention, there is provided an apparatus for blind detection of weak binary phase shift keying signals, the apparatus comprising:
a determination module: determining a signal frequency band range for the blind detection of the binary phase shift keying signal, wherein the signal frequency band range for the blind detection of the binary phase shift keying signal is [ 2 ]f c_min,f c_max]；
A subchannel determination module: determining the sub-channels according to the signal frequency band range for the binary phase shift keying signal blind detectionNumber of tracksnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0;
a sub-band signal generation module: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter of each subchannel of the subchannels outputs each subband signal of the signal to be blind-detected;
and an extraction result module: inputting each sub-frequency band signal of the signal to be blindly detected into a Duffing system corresponding to each sub-channel, and carrying out S transformation on the output of the Duffing system corresponding to each sub-channel of all the sub-channels to obtain the envelope output by each Duffing system;
a detection module: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist;
the result extracting module comprises:
a first obtaining submodule: acquisition subchanneljThe filter outputs the sub-band signals of the signal to be detected blindlyd j (t) Will bed j (t) Input and sub-channelsjA corresponding Duffing system; to obtain the firstjThe output of the Duffing system of the sub-channels iso j (t)；
An analysis time-frequency window setting submodule: are respectively each sub-channeljThe analysis time-frequency window of the S-transform is set,j= 1,2,L,n；
the window function corresponding to the S transform is:
wherein
Is a scale factorWherein, in the step (A),ais a constant number of times, and is,ffor frequency, different windows correspondaDifferent, can set up flexibly; window functionw(t) Of (2) centerw 0And radius delta w Respectively as follows:
2Δ w is the time-frequency window width;
an S transformation submodule: respectively carrying out S transformation on the outputs of Duffing systems corresponding to the sub-channels, such as the sub-channelsjOutput of (2)o j (t) The result of the S transformation isS j (t, f)，
S j (t, f) To represento j (t) At a specified timetSum frequencyfThe amplitude of (d);
extracting a submodule: obtaining the envelope of each subchannel Duffing system output, i.e. the subchanneljAt its center frequencyf j Upper calculationS j (t, f) Obtained byS j (t, f) Is the envelope of the Duffing system output, and the corresponding window function has the scale ofσ j =a/f j ，j= 1,2,L,n。
Further, the subchannel determining module includes:
a first determination sub-module: determining the highest symbol rate of a signal to be blind detectedf d_max；
A second determination sub-module: determining subchannel bandwidthB，B<min{2f d_max, 0.06f c_min}；
A third determination sub-module: determining the number of subchannelsnAccording to the lowest frequencyf c_minAnd maximum frequencyf c_maxDetermining the number of divided subchannelsn；
Wherein INT (·) denotes rounding;
a fourth determination sub-module: determiningnThe center frequency of each of the subchannels,f j =f c_min+B/2+B×(j−1)，f j is as followsjThe center frequency of the sub-channels,j= 1,2,L,n；
a first output sub-module: is composed ofnEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; the Duffing system has the function of weak periodic signal detection, and if the input of the Duffing system does not have the weak periodic signal, the Duffing system outputs a chaotic state; if weak periodic signals exist in the input of the Duffing system, the Duffing system outputs a periodic state.
Further, the sub-band signal generating module includes:
a subchannel filter output submodule: is provided withnThe center frequency of the filter of each sub-channel of the sub-channels is consistent with the built-in frequency of the Duffing system corresponding to the center frequency, and the signal to be detected in a blind mode is inputnFor each subchannel of the subchannels, the signal to be blindly detected passes through the filter of each subchannel; first, thejThe output of the filter of the sub-channel isd j (t) And is andd j (t) =s(t)*h j (t) Wherein denotes a convolution of the input signal,s(t) For the incoming signal to be blindly detected,h j (t) Is as followsjThe impulse response of the filters of the sub-channels,j= 1,2,L,n；
a second output submodule: by passingnThe filters of each of the sub-channels output the sub-band signals of the signal to be blind detectedd j (t)。
Further, the detection module includes:
a detection submodule for setting the transition time threshold value of the Duffing system of each subchannel for converting from the chaotic state to the periodic stateT h =T d_min/2，T d_minThe minimum symbol period of the sub-band signal processed for the Duffing system; duration in transition band satisfying Duffing systemt g <T h If the periodic state exists, the output of the Duffing system is considered to be an intermittent chaotic state; if the output of the Duffing system corresponding to a certain subchannel has an intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist.
According to a third aspect of the present invention, there is provided a system for blind detection of a binary phase shift keyed signal, comprising:
a processor for executing a plurality of instructions;
a memory to store a plurality of instructions;
wherein the instructions are for being stored by the memory and loaded and executed by the processor to perform the method for blind detection of weak binary phase shift keying signals as described above.
According to a fourth aspect of the present invention, there is provided a computer readable storage medium having a plurality of instructions stored therein; the instructions are used for loading and executing the method for blind detection of the weak binary phase shift keying signal by the processor.
The invention divides the total frequency band to be monitored into a plurality of sub-frequency bands to form monitoring sub-channels, each sub-channel corresponds to a Duffing system, and the good low-frequency characteristic of the Duffing system is obtained by reasonably setting the built-in frequency of each Duffing system. And (3) extracting the output time sequence envelope of each subchannel Duffing system by combining a time-frequency domain analysis method of S transformation, judging whether a weak BPSK signal exists or not by judging whether the output of the Duffing system has an intermittent chaotic state or not, and finally realizing the blind detection of the weak BPSK signal. By reasonably setting the built-in frequency of the Duffing system and combining a time domain variable scale analysis method, the contradiction problem of the Duffing system on weak signal detection is effectively considered, and the transition time between a shorter periodic state and a chaotic state is obtained by improving the built-in frequency, so that good dynamic characteristics are obtained.
The foregoing description is only an overview of the technical solutions of the present invention, and in order to make the technical solutions of the present invention more clearly understood and to implement them in accordance with the contents of the description, the following detailed description is given with reference to the preferred embodiments of the present invention and the accompanying drawings.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments of the invention and, together with the description, serve to explain the principles of the invention. In the drawings:
FIG. 1 is a flowchart of a method for blind detection of weak binary phase shift keying signals according to an embodiment of the present invention;
FIG. 2 is a system diagram of a method for implementing blind detection of weak binary phase shift keying signals according to the present invention;
FIG. 3 is a schematic diagram illustrating a detection frequency band setting of a blind detection sub-channel according to an embodiment of the present invention;
FIG. 4 is a schematic diagram illustrating a chaotic state output of the Duffing system of the present invention;
FIG. 5 is a schematic diagram illustrating the output of Duffing system in a periodic state according to the present invention;
FIG. 6 is a schematic diagram of an intermittent chaotic state output when a signal carrier frequency to be detected is consistent with a Duffing system built-in frequency;
FIG. 7 is a schematic diagram of an intermittent chaotic state output when a signal carrier frequency to be detected is inconsistent with a Duffing system built-in frequency;
FIG. 8 is a schematic diagram of a subchannel filter design according to an embodiment of the present invention;
fig. 9 is a schematic diagram illustrating comparison of performance requirements of minimum signal-to-noise ratio for a signal to be blindly detected, which can detect the existence of weak BPSK signals by using an original method and the detection method of the present invention according to an embodiment of the present invention;
fig. 10 is a block diagram of an apparatus for blind detection of weak binary phase shift keying signals according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the technical solutions of the present invention will be clearly and completely described below with reference to the specific embodiments of the present invention and the accompanying drawings. It is to be understood that the described embodiments are merely exemplary of the invention, and not restrictive of the full scope of the invention. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
First, a method for blind detection of a weak binary phase shift keying signal according to an embodiment of the present invention is described with reference to fig. 1-2, fig. 1 is a flowchart of a method for blind detection of a weak binary phase shift keying signal according to an embodiment of the present invention, and fig. 2 is a system diagram of a method for blind detection of a weak binary phase shift keying signal according to the present invention. As shown in fig. 1, the method comprises the following steps:
step S101: determining a signal frequency band range for the blind detection of a weak binary phase shift keying signal, wherein the signal frequency band range for the blind detection of the binary phase shift keying signal is [ 2 ]f c_min,f c_max]；
Step S102: determining the number of sub-channels according to the signal frequency band range for the blind detection of the weak binary phase shift keying signalnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0;
step S103: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter of each subchannel of the subchannels outputs a subband signal to be blind-detected;
step S104: inputting the sub-band signals to be blindly detected into the Duffing system corresponding to each sub-channel, and carrying out S transformation on the output of the Duffing system corresponding to each sub-channel of all sub-channels to obtain the envelope output by each Duffing system;
step S105: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist.
The step S102: determining the number of sub-channels according to the signal frequency band range for the binary phase shift keying signal blind detectionnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0, including:
step S1021: determining the highest symbol rate of a signal to be blind detectedf d_max；
In particular, the value is determined according to the maximum value of the symbol rate of the signal to be blindly detected.
Step S1022: determining subchannel bandwidthB，B<min{2f d_max, 0.06f c_min}；
Step S1023: determining the number of subchannelsnAccording to the lowest frequencyf c_minAnd maximum frequencyf c_maxDetermining the number of divided subchannelsn；
Wherein INT (·) denotes rounding;
in this embodiment, fig. 3 shows a setting manner of the detection frequency band of the blind detection sub-channel.
Step S1024: determiningnThe center frequency of each of the subchannels,f j =f c_min+B/2+B×(j−1)，f j is as followsjThe center frequency of the sub-channels,j= 1,2,L,n；
step S1025: is composed ofnEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; the Duffing system has the function of weak periodic signal detection, and if the input of the Duffing system does not have the weak periodic signal, the Duffing system outputs a chaotic state; if weak periodic signals exist in the input of the Duffing system, the Duffing system outputs a periodic state;
in this embodiment, fig. 4 shows an output state of the Duffing system when no weak periodic signal exists in the input signal of the Duffing system; fig. 5 shows an output state of the Duffing system when a weak periodic signal exists in an input signal of the Duffing system.
Step S103: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter of each subchannel of the subchannels outputs a subband signal to be blindly detected, comprising:
step S1031: is provided withnThe center frequency of the filter of each sub-channel of the sub-channels is consistent with the built-in frequency of the Duffing system corresponding to the center frequency, and the signal to be detected in a blind mode is inputnFor each subchannel of the subchannels, the signal to be blindly detected passes through the filter of each subchannel; first, thejThe output of the filter of the sub-channel isd j (t) And is andd j (t) =s(t)*h j (t) Wherein denotes a convolution of the input signal,s(t) For the incoming signal to be blindly detected,h j (t) Is as followsjThe impulse response of the filters of the sub-channels,j=1,2,L,n；
step S1032: by passingnThe filters of each of the sub-channels output the sub-band signals of the signal to be blind detectedd j (t)。
Step S104: inputting each sub-frequency band signal of the signal to be blind-detected into the Duffing system corresponding to each sub-channel, and performing S transformation on the output of the Duffing system corresponding to each sub-channel of all sub-channels to obtain the envelope output by each sub-channel Duffing system, including:
step S1041: obtainGet sub-passagewayjThe filter outputs the sub-band signals of the signal to be detected blindlyd j (t) Will bed j (t) Input and sub-channelsjA corresponding Duffing system; to obtain the firstjThe output of the Duffing system of the sub-channels iso j (t)；
Step S1042: are respectively each sub-channeljThe analysis time-frequency window of the S-transform is set,j= 1,2,L,n；
the window function corresponding to the S transform is:
wherein
Is a scale factor in which, among others,ais a constant number of times, and is,ffor frequency, different windows correspondaDifferent, can set up flexibly; window functionw(t) Of (2) centerw 0And radius delta w Respectively as follows:
2Δ w is the time-frequency window width;
in order to better extract the signal envelope of the output of the Duffing system at the corresponding frequency, the setting of the window function width should improve the time resolution as much as possible on the basis of comprehensively considering the symbol rate and the frequency resolution requirement of the binary phase shift keying signal. In principle, the window function time resolution should be less than 1/4 of the processed signal symbol period.
Step S1043: respectively for each sub-channeljCorresponding to Duffing system outputo j (t) Performing S transformation, the transformation result isS j (t, f)，
S j (t, f) To represento j (t) At a specified timetSum frequencyfThe amplitude of (d).
Step S1044: obtaining the envelope of each subchannel Duffing system output, i.e. the subchanneljAt its center frequencyf j Upper calculationS j (t, f) Obtained byS j (t, f) Is the envelope of the Duffing system output, and the corresponding window function has the scale ofσ j =a/f j ，j= 1,2,L,n。
Step S105: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist, and the method comprises the following steps:
the transition time threshold value of the Duffing system of each subchannel for converting from the chaotic state to the periodic state is set asT h =T d_min/2，T d_minThe minimum symbol period of the sub-band signal processed for the Duffing system; duration in transition band satisfying Duffing systemt g <T h If the periodic state exists, the output of the Duffing system is considered to be an intermittent chaotic state; if the output of the Duffing system corresponding to a certain subchannel has an intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist.
Fig. 6 shows a schematic diagram of an intermittent chaotic state when a signal carrier frequency to be detected is consistent with a Duffing system built-in frequency. Fig. 7 shows an output schematic diagram of an intermittent chaotic state when a signal carrier frequency to be detected is inconsistent with a Duffing system built-in frequency.
The second embodiment of the present invention provides an implementation of blind detection of weak binary phase shift keying signals.
The Duffing system is of Holmes type, and the kinetic equation is as follows:
in the formula (I), the compound is shown in the specification,kas damping ratex+x 3In order to be a non-linear restoring force,Fcos(ωt) For the built-in signal of the system, namely the system driving force,Fwhich is indicative of the magnitude of the built-in signal,ωwhich represents the built-in signal angular frequency, i.e. the natural frequency of the vibrator.
The design of the sub-channel filter is accomplished using a rectangular filter, as shown in FIG. 8, assuming a center frequency off c A bandwidth ofBThen the impulse response of the filter is
。
The signal to be blindly detected is a bipolar BPSK signal, and the time domain expression is
Whereinω c For the signal carrier frequency, in order to increase the detection difficulty, it is assumed that the bipolar BPSK signal to be blind-detected has no carrier component in the power spectrum according to a certain coding rule (e.g., HDB3 code), that is, is a modulation signal for suppressing the carrier. Then, the "1" code and the "-1" code of the bipolar BPSK signal appear with equal probability, and the power spectral density of the bipolar BPSK signal can be obtained as follows:
in the formula (I), the compound is shown in the specification,T d is a baseband signal symbol period.
The detection step comprises:
step 2.1: setting the blind detection frequency range to be 0.5MHz5MHz, i.e.f c_min= 0.5MHz，f c_max= 5MHz；
Step 2.2: designing the highest symbol rate of signals to be blindly detectedf d_max= 40kHz, calculating and determining the guard bandwidth of each subchannel to beB= 80kHz；
Step 2.3: determining the number of divided control channelsnIs 57;
step 2.4: setting the built-in frequency of each subchannel Duffing system asf j =f c_min+B/2+B×(j−1)，j=1, 2, …,n；
Step 2.5: is provided witha= 6.62, determining the time window width of the S transform 4.68 μ S;
step 2.6: the simulation receiver outputs weak binary phase shift keying signals to be blindly detected at intermediate frequency, the carrier frequency of the signals changes from 0.5MHz to 5MHz in 0.5MHz step, the code element rate is randomly selected from 5kHz to 40kHz, and 10 batches of experiments are counted; gaussian white noise is input into a channel, the signal-to-noise ratio at each frequency point (namely in each batch of experiments) is changed from-10 dB to-45 dB in a 1dB stepping mode, 36 groups of experiments are counted in each batch, and each group of experiments are repeated for 10 times;
step 2.7: when the signal-to-noise ratio changes from high to low, the signal-to-noise ratio is satisfiedt g <T h And judging the condition of the intermittent chaotic state of the condition.
In this embodiment, the signal to be blindly detected is a BPSK signal whose signal-to-noise ratio varies from-10 dB to-45 dB, and fig. 9 shows the performance comparison condition required by the minimum signal-to-noise ratio, which indicates whether a signal can be detected when the weak BPSK signal is detected by using the original method and the detection method of the present invention, and indicates that the weak BPSK signal can be detected when the signal-to-noise ratio of the signal to be detected is greater than-40 dB by using the method.
According to the above conclusion, the simulation experiment results of the blind detection and identification accuracy of the weak BPSK signal are shown in Table 1 after repeated experiments in the variation range of-10 dB to-40 dB.
TABLE 1
It can be seen that, by adopting the method, if the intermittent chaotic state is output in any channel, the weak BPSK signal is judged to exist in the corresponding channel, and under the condition that the signal-to-noise ratio of the signal to be detected is greater than-40 dB, the detection and identification accuracy can reach more than 96%, and the existence of the weak BPSK signal is effectively judged.
The embodiment of the present invention further provides a device for blind detection of weak binary phase shift keying signals, as shown in fig. 4, the device includes:
a determination module: determining a signal frequency band range for the blind detection of a weak binary phase shift keying signal, wherein the signal frequency band range for the blind detection of the binary phase shift keying signal is [ 2 ]f c_min,f c_max]；
A subchannel determination module: for determining the number of sub-channels according to the signal frequency band range for the binary phase shift keying signal blind detectionnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0;
a sub-band signal generation module: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter of each subchannel of the subchannels outputs each subband signal of the signal to be blind-detected;
and an extraction result module: inputting each sub-frequency band signal of the signal to be blindly detected into a Duffing system corresponding to each sub-channel, and carrying out S transformation on the output of the Duffing system corresponding to each sub-channel of all the sub-channels to obtain the envelope output by each Duffing system;
a detection module: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist;
the result extracting module comprises:
a first obtaining submodule: acquisition subchanneljThe filter outputs the sub-band signals of the signal to be detected blindlyd j (t) Will bed j (t) Input and sub-channelsjA corresponding Duffing system; to obtain the firstjThe output of the Duffing system of the sub-channels iso j (t)；
An analysis time-frequency window setting submodule: are respectively each sub-channeljThe analysis time-frequency window of the S-transform is set,j= 1,2,L,n；
the window function corresponding to the S transform is:
wherein
Is a scale factor in which, among others,ais a constant number of times, and is,ffor frequency, different windows correspondaDifferent, can set up flexibly; window functionw(t) Of (2) centerw 0And radius delta w Respectively as follows:
2Δ w is the time-frequency window width;
an S transformation submodule: respectively carrying out S transformation on the outputs of Duffing systems corresponding to the sub-channels, such as the sub-channelsjOutput of (2)o j (t) The result of the S transformation isS j (t, f)，
S j (t, f) To represento j (t) At a specified timetSum frequencyfThe amplitude of (d);
extracting a submodule: obtaining the envelope of each subchannel Duffing system output, i.e. the subchanneljAt its center frequencyf j Upper calculationS j (t, f) Obtained byS j (t, f) Is the envelope of the Duffing system output, and the corresponding window function has the scale ofσ j =a/f j ，j= 1,2,L,n。
The embodiment of the invention further provides a system for blind detection of weak binary phase shift keying signals, which comprises:
a processor for executing a plurality of instructions;
a memory to store a plurality of instructions;
wherein the instructions are for being stored by the memory and loaded and executed by the processor to perform the method for blind detection of weak binary phase shift keying signals as described above.
The embodiment of the invention further provides a computer readable storage medium, wherein a plurality of instructions are stored in the storage medium; the instructions are used for loading and executing the method for blind detection of the weak binary phase shift keying signal by the processor.
It should be noted that the embodiments and features of the embodiments may be combined with each other without conflict.
In the embodiments provided in the present invention, it should be understood that the disclosed system, apparatus and method may be implemented in other ways. For example, the above-described example of an apparatus is merely illustrative, and for example, the division of the units is only one type of division of logical functions, and there may be other divisions when actually implemented, for example, a plurality of units or components may be combined or may be integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or units, and may be in an electrical, mechanical or other form.
The units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment.
In addition, functional units in the embodiments of the present invention may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit. The integrated unit can be realized in a form of hardware, or in a form of hardware plus a software functional unit.
The integrated unit implemented in the form of a software functional unit may be stored in a computer readable storage medium. The software functional unit is stored in a storage medium and includes several instructions to enable a computer device (which may be a personal computer, a physical machine Server, or a network cloud Server, etc., and needs to install a Windows or Windows Server operating system) to perform some steps of the method according to various embodiments of the present invention. And the aforementioned storage medium includes: various media capable of storing program codes, such as a usb disk, a removable hard disk, a Read-Only Memory (ROM), a Random Access Memory (RAM), a magnetic disk, or an optical disk.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention in any way, and any simple modification, equivalent change and modification made to the above embodiment according to the technical spirit of the present invention are still within the scope of the technical solution of the present invention.
Claims (10)
1. A method for blind detection of weak binary phase shift keying signals, comprising the steps of:
step S101: determining a signal frequency band range for blind detection of binary phase shift keying signalsThe frequency band range of the signal for the binary phase shift keying signal blind detection is [ 2 ]f c_min,f c_max]；
Step S102: determining the number of sub-channels according to the signal frequency band range for the binary phase shift keying signal blind detectionnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0;
step S103: inputting signals to be detected blindlynEach of the sub-channels, passingnThe corresponding filters of the sub-channels output sub-frequency band signals to be detected in a blind mode;
step S104: inputting the sub-band signals to be blindly detected into the Duffing system corresponding to each sub-channel, and carrying out S transformation on the output of the Duffing system corresponding to each sub-channel of all sub-channels to obtain the output envelope of each sub-channel Duffing system;
step S105: detecting whether the output of the Duffing system corresponding to each subchannel has an intermittent chaotic state, if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist;
the step S104: inputting the sub-band signal to be blindly detected into the Duffing system corresponding to each sub-channel, and performing S transformation on the output of the Duffing system corresponding to each sub-channel of all sub-channels to obtain the output envelope of each sub-channel Duffing system, including:
step S1041: acquisition subchanneljFilter output of the sub-band signal to be blindly detectedd j (t) Will bed j (t) Input and sub-channelsjA corresponding Duffing system; to obtain the firstjThe output of the Duffing system of the sub-channels iso j (t)；
Step S1042: are respectively each sub-channeljThe analysis time-frequency window of the S-transform is set,j= 1,2,L,n；
the window function corresponding to the S transform is:
wherein
Is a scale factor in which, among others,ais a constant number of times, and is,ffor frequency, different windows correspondaDifferent, can set up flexibly; window functionw(t) Of (2) centerw 0And radius delta w Respectively as follows:
2Δ w is the time-frequency window width;
step S1043: respectively for each sub-channeljCorresponding to Duffing system outputo j (t) Performing S transformation, the transformation result isS j (t, f)，
S j (t, f) To represento j (t) At a specified timetSum frequencyfThe amplitude of (d);
step S1044: obtaining the output envelope of each subchannel Duffing system, namely, obtaining the output envelope of each subchannel Duffing systemjAt its center frequencyf j Upper calculationS j (t, f) Obtained byS j (t, f) Is the envelope of the Duffing system output, and the corresponding window function has the scale ofσ j =a/f j ，j= 1,2,L,n。
2. The method for blind detection of weak binary phase shift keying signals according to claim 1, wherein said step S102: according to said is used forSignal frequency band range determination subchannel number for binary phase shift keying signal blind detectionnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0, including:
step S1021: determining the highest symbol rate of a signal to be blind detectedf d_max；
Step S1022: determining subchannel bandwidthB，B<min{2f d_max, 0.06f c_min}；
Step S1023: determining the number of subchannelsnAccording to the lowest frequencyf c_minAnd maximum frequencyf c_maxDetermining the number of divided subchannelsn；
Wherein INT (·) denotes rounding;
step S1024: determiningnThe center frequency of each of the subchannels,f j =f c_min+B/2+B×(j−1)，f j is as followsjThe center frequency of the sub-channels,j= 1,2,L,n；
step S1025: is composed ofnEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; the Duffing system has the function of weak periodic signal detection, and if the input of the Duffing system does not have the weak periodic signal, the Duffing system outputs a chaotic state; if weak periodic signals exist in the input of the Duffing system, the Duffing system outputs a periodic state.
3. The method for blind detection of weak binary phase shift keying signals according to claim 1, wherein step S103: inputting signals to be detected blindlynEach of the sub-channels, passingnThe filter corresponding to the sub-channel outputs the sub-band signal to be blindly detected, which comprises:
step S1031: is provided withnThe center frequency of the filter of each sub-channel of the sub-channels is consistent with the built-in frequency of the Duffing system corresponding to the center frequency, and the signal to be detected in a blind mode is inputnFor each subchannel of the subchannels, the signal to be blindly detected passes through the filter of each subchannel; first, thejThe output of the filter of the sub-channel isd j (t) And is andd j (t) =s(t)*h j (t) Wherein denotes a convolution of the input signal,s(t) For the incoming signal to be blindly detected,h j (t) Is as followsjThe impulse response of the filters of the sub-channels,j=1,2,L,n；
step S1032: by passingnThe filters of each of the sub-channels output the sub-band signals of the signal to be blind detectedd j (t)。
4. The method for blind detection of weak binary phase shift keying signals according to claim 1, wherein step S105: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist, and the method comprises the following steps:
the transition time threshold value of the Duffing system of each subchannel for converting from the chaotic state to the periodic state is set asT h =T d_min/2，T d_minThe minimum symbol period of the sub-band signal processed for the Duffing system; duration in transition band satisfying Duffing systemt g <T h If the periodic state exists, the output of the Duffing system is considered to be an intermittent chaotic state; if the output of the Duffing system corresponding to a certain subchannel has an intermittent chaotic state, a weak binary phase shift keying signal exists; if allAnd if the output of the Duffing system corresponding to the sub-channel does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist.
5. An apparatus for blind detection of weak binary phase shift keying signals, the apparatus comprising:
a determination module: determining a signal frequency band range for the blind detection of the weak binary phase shift keying signal, wherein the signal frequency band range for the blind detection of the weak binary phase shift keying signal is [ 2 ]f c_min,f c_max]；
A subchannel determination module: the method is used for determining the number of sub-channels according to the signal frequency band range for blind detection of the weak binary phase shift keying signalnIs anEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; whereinnIs a natural number greater than 0;
a sub-band signal generation module: inputting signals to be detected blindlynEach of the sub-channels, passingnOutputting a sub-frequency band signal to be blind-detected by a filter of each sub-channel of the sub-channels;
and an extraction result module: inputting the sub-band signals to be detected in a blind mode into the Duffing system corresponding to each sub-channel, and carrying out S transformation on the output of the Duffing system corresponding to each sub-channel of all the sub-channels to obtain the output envelope of each Duffing system;
a detection module: detecting whether the output of the Duffing system corresponding to each subchannel of all the subchannels has an intermittent chaotic state, and if the output of the Duffing system corresponding to a certain subchannel has the intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist;
the result extracting module comprises:
a first obtaining submodule: acquisition subchanneljThe filter outputs the sub-band signals of the signal to be detected blindlyd j (t)，Will be provided withd j (t) Input and sub-channelsjA corresponding Duffing system; to obtain the firstjThe output of the Duffing system of the sub-channels iso j (t)；
An analysis time-frequency window setting submodule: are respectively each sub-channeljThe analysis time-frequency window of the S-transform is set,j= 1,2,L,n；
the window function corresponding to the S transform is:
wherein
Is a scale factor in which, among others,ais a constant number of times, and is,ffor frequency, different windows correspondaDifferent, can set up flexibly; window functionw(t) Of (2) centerw 0And the radius v is respectively:
2Δ w is the time-frequency window width;
an S transformation submodule: respectively carrying out S transformation on the outputs of Duffing systems corresponding to the sub-channels, such as the sub-channelsjOutput of (2)o j (t) The result of the S transformation isS j (t, f)，
S j (t, f) To represento j (t) At a specified timetSum frequencyfThe amplitude of (d);
extracting a submodule: obtaining the envelope of each subchannel Duffing system output, i.e. the subchanneljAt its center frequencyf j Upper calculationS j (t, f) Obtained byS j (t, f) Is the envelope of the Duffing system output, and the corresponding window function has the scale ofσ j =a/f j ，j= 1,2,L,n。
6. The apparatus for blind detection of weak binary phase shift keying signals according to claim 5, wherein said subchannel determining module comprises:
a first determination sub-module: determining the highest symbol rate of a signal to be blind detectedf d_max；
A second determination sub-module: determining subchannel bandwidthB，B<min{2f d_max, 0.06f c_min}；
A third determination sub-module: determining the number of subchannelsnAccording to the lowest frequencyf c_minAnd maximum frequencyf c_maxDetermining the number of divided subchannelsn；
Wherein INT (·) denotes rounding;
a fourth determination sub-module: determiningnThe center frequency of each of the subchannels,f j =f c_min+B/2+B×(j−1)，f j is as followsjThe center frequency of the sub-channels,j= 1,2,L,n；
a first output sub-module: is composed ofnEach subchannel of the subchannels is configured with a Duffing system corresponding to the subchannel; the Duffing system has the function of weak periodic signal detection, and if the input of the Duffing system does not have the weak periodic signal, the Duffing system outputs a chaotic state; if weak periodic signals exist in the input of the Duffing system, the Duffing system outputs a periodic state.
7. The apparatus for blind detection of weak binary phase shift keying signal according to claim 5, wherein said sub-band signal generating module comprises:
a subchannel filter output submodule: is provided withnThe center frequency of the filter of each sub-channel of the sub-channels is consistent with the built-in frequency of the Duffing system corresponding to the center frequency, and the signal to be detected in a blind mode is inputnFor each subchannel of the subchannels, the signal to be blindly detected passes through the filter of each subchannel; first, thejThe output of the filter of the sub-channel isd j (t) And is andd j (t) =s(t)*h j (t) Wherein denotes a convolution of the input signal,s(t) For the incoming signal to be blindly detected,h j (t) Is as followsjThe impulse response of the filters of the sub-channels,j= 1,2,L,n；
a second output submodule: by passingnThe filter of each sub-channel of the sub-channels outputs the sub-band signal to be blindly detectedd j (t)。
8. The apparatus for blind detection of weak binary phase shift keying signals according to claim 5, wherein said detection module comprises:
a detection submodule, the transition time threshold value for the transition from the chaotic state to the periodic state by the Duffing system of each subchannel isT h =T d_min/2，T d_minThe minimum symbol period of the sub-band signal processed for the Duffing system; duration in transition band satisfying Duffing systemt g <T h If the periodic state exists, the output of the Duffing system is considered to be an intermittent chaotic state; if the output of the Duffing system corresponding to a certain subchannel has an intermittent chaotic state, a weak binary phase shift keying signal exists; if the output of the Duffing system corresponding to all the sub-channels does not have the intermittent chaotic state, a weak binary phase shift keying control signal does not exist.
9. A system for blind detection of weak binary phase shift keying signals, comprising:
a processor for executing a plurality of instructions;
a memory to store a plurality of instructions;
wherein the plurality of instructions are for being stored by the memory and loaded and executed by the processor to perform the method of binary phase shift keying signal blind detection according to any one of claims 1 to 4.
10. A computer-readable storage medium having stored therein a plurality of instructions; the plurality of instructions for being loaded by a processor and performing the method of blind detection of a weak binary phase shift keying signal according to any one of claims 1 to 4.
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