CN112866164A - OFDM radar communication-based integrated signal sidelobe suppression method - Google Patents
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Abstract
The invention relates to a method for inhibiting sidelobe of an OFDM radar communication integrated signal, which is characterized in that a reference signal with the length larger than the original length is designed for the received OFDM radar communication integrated signal, a mismatch filter adaptive to the reference signal is designed, and the sidelobe and the pseudo-peak of the received OFDM radar communication integrated signal are inhibited by expanding and combining the coefficients of a Hall wiz polynomial of the OFDM radar communication integrated signal generated after convolution of the reference signal and the reference signal.
Description
Technical Field
The invention relates to a method for suppressing side lobes of an integrated signal based on OFDM radar communication, and belongs to the technical field of integrated signal processing of radar communication.
Background
With the continuous deepening of the degree of informatization, radar and communication systems are widely applied as the most important electronic systems, whether in the military or civil fields. In some specific applications, it is desirable to combine two functions to form an integrated radar communication system for reducing system redundancy, volume, weight, energy consumption, operational complexity, and the like.
Nowadays, the core difficulty of the radar communication integrated system is integrated signal design. Radar and communication have many inherent, irreconcilable conflicts in signal design. This is mainly because radar maximizes the channel information without distortion, and places high demands on the side lobes of the signal point spread function. Communication is the detection of source information, and a channel is a signal transmission link containing interference such as multipath, doppler and the like for communication. In order to eliminate the influence of the channel on the communication, signals such as pilot frequency, synchronization, cyclic prefix and the like are often embedded in the communication signals. However, as known from the ambiguity function definition, the periodic pilot, synchronization and cyclic prefix signals tend to generate spurious peaks in the point spread function of the radar matched filter. In addition, highly random traffic also raises the side lobes of the point spread function. Under the influence of excessive pseudo peaks and excessive high side lobes, the radar detection performance is seriously reduced.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a method for suppressing side lobes of an OFDM radar-based communication integrated signal, which is used for solving the problem that the received OFDM radar-based communication integrated signal has too many false peaks and too high side lobes.
The invention adopts the following technical scheme for solving the technical problems: the invention provides a method for suppressing side lobes of an OFDM radar communication integrated signal, which is a process for designing a reference signal based on a discrete sampling signal of a received OFDM radar communication integrated signal, and filtering the reference signal by using a preset mismatch filter, so that the side lobes of the OFDM radar communication integrated signal are suppressed, and the processed OFDM radar communication integrated signal is obtained, and is realized by steps A to C:
step A, obtaining Hall Witz representation of the OFDM radar communication integrated signal after filtering processing through the following steps A1 to A3;
a1, obtaining discrete sampling signals of OFDM radar communication integrated signals as follows:
S＝{s(0),s(1),...,s(n),...,s(N-1)}
s is a sampling sequence of a discrete sampling signal of the OFDM radar communication integrated signal, N is the number of discrete sampling points of the OFDM radar communication integrated signal, and S (N) is the value of the discrete sampling signal of the OFDM radar communication integrated signal at the N point;
hall wiz polynomial F for obtaining discrete sampling signal of OFDM radar communication integrated signals(x)：
Fs(x)＝s(N-1)xN-1+s(N-2)xN-2+...+s(n)xn+...+s(1)x+s(0)
Step A2, applying the digital correlation filter to filtering processing of the OFDM radar communication integrated signal, wherein a pulse sequence of the digital correlation filter is expressed as follows:
H＝{h(0),h(1),...,h(n),...,h(N-1)}
wherein,His the pulse sequence of the digital correlation filter, N is the pulse number of the OFDM digital correlation filter, and h (N) is the pulse value of the pulse sequence of the digital correlation filter at N points;
then the corresponding hall wiz polynomial of the digital correlation filter is expressed as:
Fh(x-1)＝h*(N-1)x-(N-1)+h*(N-2)x-(N-2)+...+h*(n)x-n+...+h*(1)x-1+h*(0)
wherein h is*(n) is the conjugate of h (n);
step A3, obtaining a Hall Witz expression Q of the OFDM radar communication integrated signal after filtering processing is carried out on the OFDM radar communication integrated signal through the digital correlation filter in the step A2sh(x) The following were used:
Qsh(x)＝Fs(x)×Fh *(x-1)
＝(s(N-1)xN-1+s(N-2)xN-2+...+s(1)x+s(0))
×(h*(N-1)x-(N-1)+h*(N-2)x-(N-2)+...+h*(1)x-1+h*(0))
step B, carrying out filtering processing on the OFDM radar communication integrated signal subjected to the digital correlation filter in the step A3 through a Hall wizt expression Qsh(x) Processing to obtain a main lobe and a side lobe of the OFDM radar communication integrated signal after filtering processing is carried out by a digital correlation filter;
the Hall wizt expression Q of the OFDM radar communication integrated signal obtained in the step A3 and subjected to filtering processing by the digital correlation filtersh(x) The coefficients of (a) are combined to obtain:
Qsh(x)＝q(N-1)xN-1+q(N-2)xN-2+...+q(k)xk+...+q(1)x+q(0)+q(-1)x-1+...+q(-N+1)x-(N-1)
wherein Q (k) is Qsh(x) In the polynomial xkThe coefficient of (a); q (k) is calculated according to the following formula:
wherein q (0) is a main lobe of the OFDM radar communication integrated signal after being filtered by the digital correlation filter, and q (-N +1), …, q (-1), q (1), q (2), … and q (N-1) are side lobes of the OFDM radar communication integrated signal after being filtered by the digital correlation filter;
step C. obtaining the impulse characteristics of the designed mismatched filter by the following steps C1 to C3;
and C1, filling M-N0 at the tail of the discrete sampling signal S of the OFDM radar communication integrated signal in the step A1 to form a reference signal, wherein M is an integer greater than N, and the Hall wiz polynomial of the reference signal is as follows:
Fs(x)＝s(0)+s(1)x+...+s(N-2)xN-2+s(N-1)xN-1+0xN+...+0xM-1
step C2. updates the digital correlation filter in step B2 to be a mismatched filter, and the pulse sequence of the mismatched filter is as follows:
HMMF＝{h(0),h(1),..,h(n),...,h(N-1),...,h(M-1)}
step C3. is to obtain the Hall Wittig expression Q of the reference signal filtered by the mismatched filter in step C2sh(x) The following were used:
Qsh(x)＝q(-M+1)x-(M-1)+q(-M+2)x-(M-2)+...+q(-1)x-1+q(0)+q(1)x+...+q(N-1)xN -1
the deployment is as follows:
Qsh(x)＝q(-M+1)x-(M-1)+...+q(-M+N-1)x-(M-N+1)+0x-(M-N)+...+x-N+0x-(N-1)+...+q(1)+...+q(N-1)xN-1
the construction constraints are as follows:
namely, the method comprises the following steps:
the number of the equations in the equation set is M + N-1, and the number of sampling points of the corresponding mismatched filter is M, so that each pulse value of the pulse sequence of the mismatched filter can be obtained, namely the pulse characteristic of the mismatched filter is obtained, wherein delta1,δ2,...,δ2N-2Is a preset constant.
As a preferred embodiment of the present invention, δ is preset1,δ2,...,δ2N-2Is between 0.2 and 0.3.
Compared with the prior art, the OFDM radar communication-based integrated signal sidelobe suppression method has the following technical effects:
(1) the invention adopts OFDM communication signals as radar communication integrated signals, not only realizes the high-speed wireless communication of an integrated system, but also can obtain an ideal point spread function by adopting a mismatched filtering algorithm in radar signal processing and a sidelobe suppression technology, thereby meeting the requirement of high-precision radar detection.
(2) Compared with other radar signal processing algorithms, the side lobe suppression technology adopted by the invention is simpler in algorithm, small in operand and easier to transplant, and the performance advantage of radar signal processing is obtained while the algorithm calculation cost is reduced.
(3) The sidelobe suppression technology adopted in the invention can accurately distinguish the weak target in the detection environment and the noise in the system, and remove the high false peak introduced by the OFDM cyclic prefix and the pilot frequency information.
The method can solve the problems of high side lobe and pseudo peak of the OFDM radar communication integrated signal after pulse compression processing, improves the probability of finding weak targets in a scene under the condition of not losing the energy-to-noise ratio of the targets, and provides a new idea for radar signal processing and detection.
Drawings
FIG. 1 is a frame diagram of an OFDM radar communication integrated system;
FIG. 2 is a design flow chart of an OFDM radar-based communication integrated signal sidelobe suppression method according to the present invention;
FIG. 3 is a schematic diagram of a real part of an OFDM radar communication integrated discrete signal transmitted in an embodiment of the present invention;
FIG. 4 is a schematic diagram of communication bit error rate analysis under different SNR;
FIG. 5 is a graph comparing matched and mismatched filtering processes at 41dB SNR;
fig. 6 is a close-up view of the matched and mis-matched filtering process of fig. 5 near the main lobe.
Detailed Description
The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.
The experimental parameters involved in this example are shown in table 1:
table 1 experimental parameters relating to the present example
As shown in the frame diagram of the OFDM radar communication integrated system of fig. 1, the following steps 1 to 4 are specifically implemented;
step 2, the receiving end demodulates the communication data of the radar communication integrated signal to obtain the original sending information, and in order to satisfy the reliability of the communication system according to the relationship between the communication error rate and the signal to noise ratio as shown in fig. 4, 10 is used in this embodiment-5Selecting an environment with a signal-to-noise ratio of 41dB to carry out an integrated experiment when the communication error rate is required;
and step 3, at the receiving end, under the condition that the SNR is 41dB, the scene comprises three point targets m1, m2 and m 3. The radar scattering cross sections RCS of m1 and m2 are the same and stronger, and the radar scattering cross section RCS of m3 is weaker. The distances between the three targets and the integrated system are respectively 3000m for R1, 5000m for R2 and 9000m for R3. The integrated received signal is firstly processed by a traditional radar signal processing and matching filtering method, the processing result is shown in fig. 6 and is influenced by the high randomness of communication information and the periodicity of a communication frame structure, and the matching filtering result has high side lobe and false peak phenomena, so that a small target can be submerged and a false target can be generated;
step 4, in this embodiment, the received OFDM integrated signal radar signal is processed by using the mismatch filtering algorithm according to the method shown in fig. 2, which is specifically implemented by the following steps:
let N be the number of samples of the original signal, and the reference signal sample employed in this embodiment is M — 3N. The specific implementation steps of the mismatch filtering algorithm adopted by the OFDM integrated signal are as follows:
(1) filling M-N0S at the tail of an original OFDM radar communication integrated discrete sampling signal S, wherein the updated Hall Weitz polynomial expression of a received signal is as follows:
Fs(x)＝s(0)+s(1)x+...+s(N-2)xN-2+s(N-1)xN-1+0xN+...+0xM-1
(2) according to the following QshExpression (c):
Qsh(x)＝q(-M+1)x-(M-1)+...+q(-M+N-1)x-(M-N+1)+0x-(M-N)+...+x-N+0x-(N-1)+...+q(1)+...+q(N-1)xN-1
the construction constraints are as follows:
namely, the method comprises the following steps:
let delta1,δ2,...,δ2N-2＝0.2；
(3) By using
In place of formula Fs(x)Fh *(x-1)＝Qsh(x) X in the step (b), respectively obtaining the frequency spectrums F of the received OFDM radar communication integrated signal and the OFDM radar communication integrated signal after mismatch filtering processings(w)，Qsh(w) the updated formula is expressed as
(4) According to known Fs(w) and Q designed in step (2)sh(w) obtaining the frequency spectrum F of the mismatched filter by using the formula updated in the step (3)h(w)：
(5) To Fh(w) inverse discrete Fourier transform to obtain mismatch filtered time domain coefficient Fh(x)。
(6) Convolution operation is carried out on the scene echo data and the mismatch filter, the processing result is shown in the black part of the figure 5, the side lobe and the pseudo peak energy can be pushed away from a radar observation area through mismatch algorithm processing, the false target is removed, and the submerged small target is floated out.
In conclusion, the constraint introduced by the traditional matched filtering theory can be effectively broken through by using the processing algorithm of extrapolating the side lobe and the pseudo peak to the outside of the radar observation window by using the mismatched filtering. Under the condition of no loss or less loss of signal-to-noise ratio, sidelobe and pseudo-peak suppression of the OFDM radar communication integrated shared signal is realized.
The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.
Claims (2)
1. The method for suppressing the sidelobe of the OFDM radar communication integrated signal is characterized in that a reference signal is designed based on a discrete sampling signal of the received OFDM radar communication integrated signal, and a preset mismatch filter is used for filtering the reference signal, so that the sidelobe of the OFDM radar communication integrated signal is suppressed, and the process of obtaining the processed OFDM radar communication integrated signal is realized through the steps A to C:
step A, obtaining Hall Witz representation of the OFDM radar communication integrated signal after filtering processing through the following steps A1 to A3;
a1, obtaining discrete sampling signals of OFDM radar communication integrated signals as follows:
S＝{s(0),s(1),...,s(n),...,s(N-1)}
s is a sampling sequence of a discrete sampling signal of the OFDM radar communication integrated signal, N is the number of discrete sampling points of the OFDM radar communication integrated signal, and S (N) is the value of the discrete sampling signal of the OFDM radar communication integrated signal at the N point;
hall wiz polynomial F for obtaining discrete sampling signal of OFDM radar communication integrated signals(x)：
Fs(x)＝s(N-1)xN-1+s(N-2)xN-2+...+s(n)xn+...+s(1)x+s(0)
Step A2, applying the digital correlation filter to filtering processing of the OFDM radar communication integrated signal, wherein a pulse sequence of the digital correlation filter is expressed as follows:
H＝{h(0),h(1),...,h(n),...,h(N-1)}
h is a pulse sequence of the digital correlation filter, N is the number of pulses of the OFDM digital correlation filter, and H (N) is the pulse value of the pulse sequence of the digital correlation filter at N points;
then the corresponding hall wiz polynomial of the digital correlation filter is expressed as:
Fh(x-1)＝h*(N-1)x-(N-1)+h*(N-2)x-(N-2)+...+h*(n)x-n+...+h*(1)x-1+h*(0)
wherein h is*(n) is the conjugate of h (n);
step A3, obtaining a Hall Witz expression Q of the OFDM radar communication integrated signal after filtering processing is carried out on the OFDM radar communication integrated signal through the digital correlation filter in the step A2sh(x) The following were used:
Qsh(x)＝Fs(x)×Fh *(x-1)
＝(s(N-1)xN-1+s(N-2)xN-2+...+s(1)x+s(0))×(h*(N-1)x-(N-1)+h*(N-2)x-(N-2)+...+h*(1)x-1+h*(0))
step B, carrying out filtering processing on the OFDM radar communication integrated signal subjected to the digital correlation filter in the step A3 through a Hall wizt expression Qsh(x) Processing to obtain a main lobe and a side lobe of the OFDM radar communication integrated signal after filtering processing is carried out by a digital correlation filter;
the Hall wizt expression Q of the OFDM radar communication integrated signal obtained in the step A3 and subjected to filtering processing by the digital correlation filtersh(x) The coefficients of (a) are combined to obtain:
Qsh(x)＝q(N-1)xN-1+q(N-2)xN-2+...+q(k)xk+...+q(1)x+q(0)+q(-1)x-1+...+q(-N+1)x-(N-1)
wherein Q (k) is Qsh(x) In the polynomial xkThe coefficient of (a); q (k) is calculated according to the following formula:
wherein q (0) is a main lobe of the OFDM radar communication integrated signal after being filtered by the digital correlation filter, and q (-N +1), …, q (-1), q (1), q (2), … and q (N-1) are side lobes of the OFDM radar communication integrated signal after being filtered by the digital correlation filter;
step C. obtaining the impulse characteristics of the designed mismatched filter by the following steps C1 to C3;
and C1, filling M-N0 at the tail of the discrete sampling signal S of the OFDM radar communication integrated signal in the step A1 to form a reference signal, wherein M is an integer greater than N, and the Hall wiz polynomial of the reference signal is as follows:
Fs(x)＝s(0)+s(1)x+...+s(N-2)xN-2+s(N-1)xN-1+0xN+...+0xM-1
step C2. updates the digital correlation filter in step B2 to be a mismatched filter, and the pulse sequence of the mismatched filter is as follows:
HMMF＝{h(0),h(1),..,h(n),...,h(N-1),...,h(M-1)}
step C3. is to obtain the Hall Wittig expression Q of the reference signal filtered by the mismatched filter in step C2sh(x) The following were used:
Qsh(x)＝q(-M+1)x-(M-1)+q(-M+2)x-(M-2)+...+q(-1)x-1+q(0)+q(1)x+...+q(N-1)xN-1
the deployment is as follows:
Qsh(x)＝q(-M+1)x-(M-1)+...+q(-M+N-1)x-(M-N+1)+0x-(M-N)+...+x-N+0x-(N-1)+...+q(1)+...+q(N-1)xN-1
the construction constraints are as follows:
namely, the method comprises the following steps:
the number of the equations in the equation set is M + N-1, and the number of sampling points of the corresponding mismatched filter is M, so that each pulse value of the pulse sequence of the mismatched filter can be obtained, namely the pulse characteristic of the mismatched filter is obtained, wherein delta1,δ2,...,δ2N-2Is a preset constant.
2. The OFDM radar-based communication integrated signal sidelobe suppression method according to claim 1,presetting delta1,δ2,...,δ2N-2Is between 0.2 and 0.3.
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