Orthogonal frequency multiplexing linear frequency modulation signal waveform optimization method based on genetic algorithm
A chirp signal and genetic algorithm technology, which is applied in the field of orthogonal frequency multiplexing chirp signal waveform optimization based on genetic algorithm, can solve the problems of long discrete frequency optimization time and high algorithm complexity, so as to improve optimization performance and efficiency, The effect of reducing complexity and improving optimization efficiency
Pending Publication Date: 2022-04-15
BEIJING INSTITUTE OF TECHNOLOGYGY
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[0004] In view of this, the present invention provides a method for optimizing the waveform of an orthogonal frequency multiplexing chirp signal based on a genetic algorithm, which can solve the technical problems of long optimization time and high algorithm complexity for discrete frequencies
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[0046] The present invention will be described in detail below in conjunction with the accompanying drawings and embodiments.
[0047] Firstly, the basic concept of OFDM signal set is introduced.
[0048] Assume that the OFDM chirp signal set contains M chirp signals, each signal is composed of N consecutive sub-pulses, and the bandwidth of each sub-pulse is B s =1 / T p ,T p is the sub-pulse duration, then the signal set can be expressed as,
[0049]
[0050] Among them, t is a fast time series, A(t) is a linear frequency modulation signal (LFM), A(t-nT p ) is the nth sub-pulse signal, j is a complex number,
[0051]
[0052] f 0 is the carrier frequency of the signal, f n is the corresponding frequency of N sub-pulses, and its sub-pulse frequency sequence {f n}={k 0 Δf,k 1 Δf,...,k N-1 Δf}, the corresponding coding sequence is {k 0 ,k 1 ,...,k N-1}, the coding sequence is a specific group of {0,1,2,...,K-1}, K is the number of sub-pulses; μ is the chirp freq...
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The invention discloses an orthogonal frequency multiplexing linear frequency modulation signal waveform optimization method and device based on a genetic algorithm, which can solve the problems of long optimization time and high algorithm complexity of discrete frequency. Optimizing by adopting a genetic algorithm, and generating an initialized sample based on a linear congruence generator; selecting a part of individuals of the current generation as a parent in the iteration process; the method comprises the following steps of: randomly mating a parent to generate a filial generation, obtaining a mutated filial generation according to a mutation probability, introducing a random restart mechanism, adding a newly generated individual into an existing individual set, and taking the parent, the filial generation and a restart individual as all current individuals; the random mating refers to mutual exchange between random position values of any single sequence of any individual of the generation; and when an iteration stop condition is satisfied, arranging the cost functions of all the current individuals according to a sequence from small to large, and taking the first individual obtained by sorting as an optimal sequence output.
Description
technical field [0001] The invention relates to the technical field of radar waveform design, in particular to a method for optimizing the waveform of an orthogonal frequency multiplexing linear frequency modulation signal based on a genetic algorithm. Background technique [0002] Orthogonal waveform design plays a very important role in many applications, especially in Multiple Input Multiple Output (MIMO) radars with low probability of intercept and high target resolution. The main orthogonal waveforms include Orthogonal Polyphase Code Waveform (OPCW), Orthogonal Discrete Frequency Coded Waveform (ODFCW) and Orthogonal Frequency Division Multiplexing LFM Waveform (Orthogonal Frequency Division Multiplexing-Linear Frequency Modulation, ODFCW-LFM) signal, its design goal is that each waveform in the code set has a lower autocorrelation sidelobe (Autocorrelation Sidelobe Peaks, ASP), and the cross-correlation sidelobe level between the two as low as possible ( Cross-correla...
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IPC IPC(8): G06F30/27G06N3/12G06F111/06
Inventor 刘泉华侯凯悦陈新亮常少强梁振楠龙腾
Owner BEIJING INSTITUTE OF TECHNOLOGYGY