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Proceedings of 2009 International Symposium on Computer Science and Computational Technology (ISCSCT 2009)

Huangshan, China, December 26-28, 2009

Editors: Fei Yu, Guangxue Yue, Jian Shu, Yun Liu

AP Catalog Number: AP-PROC-CS-09CN005

ISBN: 978-952-5726-07-7 (Print), 978-952-5726-08-4 (CD-ROM)

Page(s): 343-348

The Orthogonal Decomposition Algorithm for Speech Signals in Reproducing Kernel Space

Sen Zhang, Lei Liu, and Luhong Diao

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An orthogonal decomposition method and implementation algorithm for speech signal processing are proposed in this paper. In the reproducing kernel function of Hilbert space , a set of normalized orthogonal function system is generated, and speech signals can be orthogonally decomposed in according to the basis , the orthogonal decomposition coefficients can be computed by a fast algorithm based on the properties of reproducing kernel function. This approach mapped the speech signals represented by discrete samples to continuous functions which is different from the canonical form represented by series of triangle functions, and the inner product computation in Hilbert space was transformed into function evaluation problem only at some discrete points.

Index Terms

Speech Signal, Reproducing Kernel Space, Orthogonal Decomposition, Signal Analysis

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