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分形无标度区的小波变换模极大识别 被引量:1

The novel method of identifying the fractal scaleless range base on wavelet transform modulus maxima
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摘要 针对已有方法中搜索过繁的缺陷,提出了1种利用小波变换模极大线和小波变换的多尺度微分特性,通过对系统性弯曲的多尺度识别和精确定位对分形无标度区进行识别的新方法.通过仿真证明了此方法的有效性. A novel method of identifying the fractal scaleless range is proposed, which is fundamental in fractal signal processing. The method is based on the multi-scales differential property of the wavelet transform and the wavelet transform modulus maxima(WTMM) technique; By multi-scale identifying the exact position of the systematic bending, the scaleless range can be quickly, correctly and adaptively determined. The simulation test shows that the method is efficient.
出处 《西北师范大学学报(自然科学版)》 CAS 2005年第5期28-30,共3页 Journal of Northwest Normal University(Natural Science)
基金 国家自然科学基金资助项目(40375004)
关键词 分形信号 无标度区 小波变换极大模 多尺度微分 fractal signal fractal scaleless range wavelet transform of modulus maximum(WTMM) lines the multi-scale differential
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