高斯线调频小波变换及参数优化
Gaussian Chirplet Transform and the Optimization of its Parameters
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摘要: 线调频小波变换(CT)作为小波变换(WT)的一种推广,成了信号处理中的研究热点.该文推导出高斯线调频小波变换(GCT)的短时Fourier变换(STFT)计算形式.并利用分数阶Fourier变换和广义的时宽-带宽积来优化GCT的参数.与Wingner-rille分布(WVD)、短时Fourier变换(STFT)进行比较分析.仿真结果表明优化的GCT有很好的时频聚集性.Abstract: The Chirplet Transform（CT） have being become one of the most popular field in signal processing, which is extend from the Wavelet Transform（WT）. This paper calculate the Gaussian Chirplet Transform（GCT） by the Short-Time Fourier Transform（STFT）. At the same time, its parameters is optimized by making use of FRFT and Generalized Time-Bandwidth Product（GTBP）. Compared with WVD and STFT, GCT has been show excellent performance for the time-frequency concentration.
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