DOPPLERLET BASED TIME-FREQUENCY REPRESENTATION VIA MATCHING PURSUITS  

作　　者：Zou Hongxing Zhou Xiaobo Dai Qionghai Li Yanda(State Key Lab. of Intelligent Technology and Systems, Tsinghua University, Beijing 100084) 

出　　处：《Journal of Electronics(China)》2001年第3期217-227,共11页电子科学学刊（英文版）

基　　金：Supported by the National Natural Science Fundation of China(Grant No.69775009)

摘　　要：A new time-frequency representation called Dopplerlet transform, which uses the dilated, translated and modulated windowed Doppler signals as its basis functions, is proposed, and the Fourier transform, short-time Fourier transform (including Gabor transform), wavelet transform, and chirplet transform are formulated in one framework of Dopplerlet transform accordingly.It is proved that the matching pursuits based on Dopplerlet basis functions are convergent, and that the energy of residual signals yielded in the decomposition process decays exponentially. Simulation results show that the matching pursuits with Dopplerlet basis functions can characterize compactly a nonstationary signal.A new time-frequency representation called Dopplerlet transform, which uses the dilated, translated and modulated windowed Doppler signals as its basis functions, is proposed, and the Fourier transform, short-time Fourier transform (including Gabor transform), wavelet transform, and chirplet transform are formulated in one framework of Dopplerlet transform accordingly. It is proved that the matching pursuits based on Dopplerlet basis functions are convergent, and that the energy of residual signals yielded in the decomposition process decays exponentially. Simulation results show that the matching pursuits with Dopplerlet basis functions can characterize compactly a nonstationary signal.

关 键 词：TIME-FREQUENCY analysis Dopplerlet TRANSFORM PSEUDO TIME-FREQUENCY DISTRIBUTION MATCHING PURSUIT 

分 类 号：TN[电子电信]