Applications of Bispectrum on Signal Reconstruction and Enhancement

碩士 === 大同工學院 === 電機工程研究所 === 81 === Higherorder spectrum are defined in terms of cumulants therefore are also called cumulant spectrum. In recent years, bispectral analysis has gained its popularity in many application fields because of af...

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Bibliographic Details
Main Authors: Chai-Hong Wang, 王嘉鴻
Other Authors: Ching-Kung Lee
Format: Others
Language:en_US
Published: 1993
Online Access:http://ndltd.ncl.edu.tw/handle/48866214757625272581
Description
Summary:碩士 === 大同工學院 === 電機工程研究所 === 81 === Higherorder spectrum are defined in terms of cumulants therefore are also called cumulant spectrum. In recent years, bispectral analysis has gained its popularity in many application fields because of affordable fast computing facilities and better interpretation and understanting of higher-order statistics. Unlike the power spectrum which contains the Fourier-magnitude information only, the bispectrum contains all the information concerning the Fourier phase and Fourier-magnitude of the signal. To use this property of bispectrum, this research first attempts to investigate methods of bispectrum estimation for finite data. We then use these properties to reconstruct the signal. In addition we discuss methods for signal reconstruction solely from the bispectral phase of a sequence to achieve data reduction.Furthermore, it is known that the Gaussian noise was zero at the higher-order (>2) statistics. We attempt to suppress the Gaussian noise by the characteristic that the third-order moment of the Gaussian noise is zero. From our experimental results, it is found that bispectrum can be used to suppress the Gaussian noise and enhance speech signals.