A Method of Adaptive Time-Frequency Transformation of Polynomial Phase Signal Based on Simulated Annealing

Abstract

The invention provides an adaptive time-frequency transform method of polynomial phase signal on the basis of simulated annealing, and can finish the time-frequency decomposition of the polynomial phase signal. Each signal component obtained by decomposition is a single component which only corresponds to one frequency point at any moment; then, the instantaneous frequency values of each signal component and each moment are used; only a Sinc function responded by a main lobe is retained to directly calculate and generate corresponding signal frequency distribution at a corresponding moment; across term defect in traditional time-frequency transform that one moment corresponds to the non single component of a plurality of frequency points is overcome; and finally, time-frequency distribution with an optimal time-frequency combined resolution ratio without any cross term interference is finally output. The method has the advantages of simple principle and convenience in operation, the adverse effect of the cross term interference and the loss of the time-frequency combined resolution ratio of a classical time frequency analysis method can be overcome, and the time-frequency analysisquality and benefit of a non-stationary polynomial phase signal can be effectively improved.

Description

technical field [0001] The invention belongs to the field of signal analysis, in particular to a polynomial phase signal adaptive time-frequency transformation method based on simulated annealing. Background technique [0002] Many natural and artificial signals, such as speech, biomedical signals, waves propagating in dispersive media, mechanical vibrations, animal sounds, music, radar, sonar signals, etc., are typical non-stationary signals, which are characterized by continuous Time is limited, and the frequency is time-varying, non-stationary, nonlinear, non-uniform, non-structural, non-deterministic, non-integrable, non-reversible, amorphous, irregular, non-continuous, non-smooth, non-periodic, non-smooth symmetrical features. Joint time-frequency analysis (joint time-frequency analysis, referred to as time-frequency analysis) focuses on the time-varying characteristics of real signal components, and expresses a one-dimensional time signal in the form of a two-dimensio...

AI Technical Summary

Problems solved by technology

[0018] However, the existing time-frequency analysis methods are still difficult to fully apply to polynomial phase signals whose phase modulation can be expressed as a finite term polynomial series

[0019] The patent "A Model-Driven Polynomial Phase Signal Adaptive Time-Frequency Transformation Method" proposes a feasible new idea and method for the above-mentioned practical problems, but does not specifically give the specific practicality of various modern optimization algorithms. Operation and Calculation Process

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