Dopplerlet變換及其匹配收斂性分析
DOPPLERLET TRANSFORM AND ANALYSIS OF ITS MATCHING CONVERGENCE
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摘要: 介紹了一種以伸縮、時移和頻移后的加窗Doppler信號為基函數(shù)的時頻信號表示Dopplerlet變換,證明了基于Dopplerlet基函數(shù)的自適應匹配投影塔形分解算法是收斂的,而且分解過程中所得殘差信號的能量按指數(shù)律衰減。實驗結果表明了以Dopplerlet為基函數(shù)的自適應匹配投影塔形分解法能更緊湊地表示自然界中的一類Doppler信號。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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