DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE

Zou Hongxing; Dai Qionghai; Zhou Xiaobo; Li Yanda

Volume 23 Issue 5

May 2001

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Article Navigation > Journal of Electronics & Information Technology > 2001 > 23(5): 417-424

Zou Hongxing, Dai Qionghai, Zhou Xiaobo, Li Yanda. DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE[J]. Journal of Electronics & Information Technology, 2001, 23(5): 417-424.

Citation:

Zou Hongxing, Dai Qionghai, Zhou Xiaobo, Li Yanda. DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE[J]. Journal of Electronics & Information Technology, 2001, 23(5): 417-424.

Zou Hongxing, Dai Qionghai, Zhou Xiaobo, Li Yanda. DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE[J]. Journal of Electronics & Information Technology, 2001, 23(5): 417-424.

Citation:

Zou Hongxing, Dai Qionghai, Zhou Xiaobo, Li Yanda. DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE[J]. Journal of Electronics & Information Technology, 2001, 23(5): 417-424.

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DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE

Received Date: 1999-08-27
Rev Recd Date: 1999-12-15
Publish Date: 2001-05-19

Abstract

Abstract

A new time-frequency representation called Dopplerlet transform, which uses the dilated, translated and moduiated windowed Doppler signals as its basis functions, is introduced. It is proved that the matchihg 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 char-acterize compactly a nonstationary signal.

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References(1)

References

S.E.Qian,D.P.Chen,Signal representation via adaptive normalized Gaussian functions,IEEE Trans.on Signal Processing,1988,SP-36(1)-11.[2]S.G.Mallat,Z.F.Zhang,Matching pursuits with time-frequency dictionaries,IEEE Trans.on Signal Processing,1993,SP-41(12),3397-3415.[3]S.Mann,S.Haykin,The chirplet transform:Physical considerations,IEEE Trans.on SignalProcessing,1995,SP-43(11):2745-2761.[4]D.Mihovilovic,R.N Bracewell,Whistler analysis in the time-frequency plane using chirplets,J.Geophys.Res.,1992,97(A11),17199-17204.[5]邹红星,周小波,李衍达,采用Dopplerlet基函数的时频信号表示,清华大学学报(自然科学版),2000,40[3),55-58.

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