Fast Implementation and Simulation of Adaptive Time-frequency Distribution

Aim at the technical difficulties of non-single character of kernel parameters,serious cross-term interference,the loss of part of frequency component and slow operational speed of general time-frequency distribution.Studied on an adaptive cone kernel general time-frequency distribution with a single controllable parameter T.In view of the results of principle expression,a fast operation method is proposed using recurrence relations operation between the arrays,which is beneficial to program running,and the principles of numerical approximation and simple functional replacing complexity of the analysis results are used to reduce calculated quantities.Simulations were carried out with MATLAB,by analyzing typical non-stationary signals using several typical time-frequency analysis methods,the results showed that adaptive cone kernel general time-frequency distribution based on the fast algorithm has high-performance speed,good effect of time-frequency distribution,character for overcoming the main disadvantage of common generalized time-frequency distribution,and is a time-frequency analysis method with excellent performance.