信號(hào)奇異性分析
ANALYSIS OF SIGNAL SINGULARITY
-
摘要: 信號(hào)的奇異性往往攜帶了信號(hào)最重要的信息,因此,對(duì)奇異性的研究是一項(xiàng)很有價(jià)值的工作。由于傳統(tǒng)的信息處理工具(如傅氏變換)在奇異性處理方面的局限性,該文利用多重分形理論來(lái)對(duì)信號(hào)的奇異性進(jìn)行分析,并給出計(jì)算算法和一些初步的結(jié)果,同時(shí)結(jié)果分析也表明了多重分形理論是分析信號(hào)奇異性的有效方法.
-
關(guān)鍵詞:
- Lipschiz指數(shù); 多重分形; 信號(hào)奇異性
Abstract: 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,劉世耀譯,分形幾何一數(shù)學(xué)基礎(chǔ)及其應(yīng)用,沈陽(yáng),東北大學(xué)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. -
計(jì)量
- 文章訪問(wèn)數(shù): 2289
- HTML全文瀏覽量: 94
- PDF下載量: 460
- 被引次數(shù): 0
下載:
