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北海道大学サステナビリティ・ウィーク2009  >
2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議  >

Fast and Accurate Generalized Harmonic Analysis Using Newton's Method

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タイトル: Fast and Accurate Generalized Harmonic Analysis Using Newton's Method
著者: Noda, Hisayori 著作を一覧する
Nishihara, Akinori 著作を一覧する
発行日: 2009年10月 4日
出版者: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference, International Organizing Committee
誌名: Proceedings : APSIPA ASC 2009 : Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference
開始ページ: 866
終了ページ: 875
抄録: A fast and accurate method for Generalized Harmonic Analysis (GHA) is proposed. The proposed method estimates the parameters of a sinusoid and subtracts it from a target signal one by one. The frequency of the sinusoid is estimated around a peak of Fourier spectrum using Newton's method, which is much faster than search methods. The amplitude and the phase are estimated to minimize the squared sum of the residue after extraction of estimated sinusoids from the target signal. A method to improve the accuracy of sinudoidal parameters using multi-dimensional Newton's method is also proposed. This method is applied to the extracted sinusoidal parameters and minimizes the partial derivative vector of the squared error. Audio signals are analyzed by the proposed methods, which confirms the accuracy compared to the previous method.
記述: APSIPA ASC 2009: Asia-Pacific Signal and Information Processing Association, 2009 Annual Summit and Conference. 4-7 October 2009. Sapporo, Japan. Oral session: Signal Processing Theory and Methods II (7 October 2009).
資料タイプ: proceedings
URI: http://hdl.handle.net/2115/39825
出現コレクション:2009年アジア太平洋信号情報処理連合学会アニュアルサミット・国際会議 (2009 APSIPA Annual Summit and Conference)

 

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