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| DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE |
| Zou Hongxing; Dai Qionghai; Zhou Xiaobo; Li Yanda |
| Dept of Automation Tsinghua University Beijing 100084 China |
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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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Received: 27 August 1999
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2001, Vol. 23 
