Singularity often carries the most important information of signal, so it is valuable to study the singularity of signal. Because of the limitation of classical approaches (such as Fourier transform) in processing the singularity of signal, this paper applies multifractal theory to analyse the singularity of signal, and presents an algorithm and some fundamental results which indicate that multifactal theory is really a useful tool for analysing signal singularity.
[英]Kenneth Falconer著,曾文曲,刘世耀译,分形几何一数学基础及其应用,沈阳,东北大学出版社出版,1993,第17章.[2]A. Langi, W. Kinsner, Singularity processing of nonstationary signal,IEEE Trans.on Electricaland Computer Engineering, 1996, 2(3), 687-691.[3]F. Arduini, S. Fioravanti, D. D. Giusto, A multifractal-based approach to natural scene analysis,IEEE Trans. on Acoustics Speech and Signal Processing, 1991, 4(6), 2681-2684.
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