Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
Online ISSN : 2188-4749
Print ISSN : 2188-4730
第31回ISCIE「確率システム理論と応用」国際シンポジウム(1999年11月, 横浜)
IIR COMB FILTERS FOR TIME-VARYING HARMONICS EXTRACTION BASED ON KALMAN-BUCY FILTER ANALYSIS
Kazuki NishiShigeru ANDO
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2000 年 2000 巻 p. 235-240

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Optimal filters for extracting time-varying harmonics such as a voiced sound from the noise-corrupted observation are proposed. They are derived through the Kalman-Bucy filter analysis in which the dynamics of amplitude and pitch fluctuations are introduced into the state-space signal model. The Laplace analysis to the filter equation leads to three types of comb filters, i.e., the uniform-BW (-bandwidth) type, the uniform-Q type and those mixture type which have robustness to the amplitude fluctuation, the pitch fluctuation and both of them, respectively. All-pole digital filters can be also realized for real-time processing. Examples of filter design are presented, and the performance of harmonics extraction is examined by comparison between the uniform-BW type and the uniform-Q type.
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© 2000 ISCIE Symposium on Stochastic Systems Theory and Its Applications
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