Fourier-Walsh representation of a class of non-stationary signals

Wasfy B. Mikhael; Andreas Spanias

Fourier-Walsh representation of a class of non-stationary signals

Wasfy B. Mikhael
, Andreas Spanias

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

An approach that uses mixed partial sets of basis functions is proposed for time-varying signal representation. Basis functions from two transforms are used, namely, the discrete Fourier transform (DFT) and the Walsh-Hadamard transform (WHT). An iterative algorithm is developed to implement the mixed representation. A finite number of DFT components, either fixed or variable, is used to represent the selective (narrowband) dominant spectrum of the signal on a frame-by-frame basis. The whitened (broadband) residual signal is represented using a small number of Walsh components. The mixed partial sets are applied to speech representation. Preliminary results and informal listenings using this model produced good quality speech.

Original language	English (US)
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
Editors	Anon
Publisher	Publ by IEEE
Pages	1768-1771
Number of pages	4
Volume	3
State	Published - 1989
Externally published	Yes
Event	IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1 - Portland, OR, USA Duration: May 8 1989 → May 11 1989

Other

Other	IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1
City	Portland, OR, USA
Period	5/8/89 → 5/11/89

ASJC Scopus subject areas

Electrical and Electronic Engineering
Electronic, Optical and Magnetic Materials

Cite this

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title = "Fourier-Walsh representation of a class of non-stationary signals",

abstract = "An approach that uses mixed partial sets of basis functions is proposed for time-varying signal representation. Basis functions from two transforms are used, namely, the discrete Fourier transform (DFT) and the Walsh-Hadamard transform (WHT). An iterative algorithm is developed to implement the mixed representation. A finite number of DFT components, either fixed or variable, is used to represent the selective (narrowband) dominant spectrum of the signal on a frame-by-frame basis. The whitened (broadband) residual signal is represented using a small number of Walsh components. The mixed partial sets are applied to speech representation. Preliminary results and informal listenings using this model produced good quality speech.",

author = "Mikhael, \{Wasfy B.\} and Andreas Spanias",

year = "1989",

language = "English (US)",

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pages = "1768--1771",

editor = "Anon",

booktitle = "Proceedings - IEEE International Symposium on Circuits and Systems",

publisher = "Publ by IEEE",

note = "IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1 ; Conference date: 08-05-1989 Through 11-05-1989",

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T1 - Fourier-Walsh representation of a class of non-stationary signals

AU - Mikhael, Wasfy B.

AU - Spanias, Andreas

PY - 1989

Y1 - 1989

N2 - An approach that uses mixed partial sets of basis functions is proposed for time-varying signal representation. Basis functions from two transforms are used, namely, the discrete Fourier transform (DFT) and the Walsh-Hadamard transform (WHT). An iterative algorithm is developed to implement the mixed representation. A finite number of DFT components, either fixed or variable, is used to represent the selective (narrowband) dominant spectrum of the signal on a frame-by-frame basis. The whitened (broadband) residual signal is represented using a small number of Walsh components. The mixed partial sets are applied to speech representation. Preliminary results and informal listenings using this model produced good quality speech.

AB - An approach that uses mixed partial sets of basis functions is proposed for time-varying signal representation. Basis functions from two transforms are used, namely, the discrete Fourier transform (DFT) and the Walsh-Hadamard transform (WHT). An iterative algorithm is developed to implement the mixed representation. A finite number of DFT components, either fixed or variable, is used to represent the selective (narrowband) dominant spectrum of the signal on a frame-by-frame basis. The whitened (broadband) residual signal is represented using a small number of Walsh components. The mixed partial sets are applied to speech representation. Preliminary results and informal listenings using this model produced good quality speech.

UR - https://www.scopus.com/pages/publications/0024946332

UR - https://www.scopus.com/pages/publications/0024946332#tab=citedBy

M3 - Conference contribution

VL - 3

SP - 1768

EP - 1771

BT - Proceedings - IEEE International Symposium on Circuits and Systems

A2 - Anon, null

PB - Publ by IEEE

T2 - IEEE International Symposium on Circuits and Systems 1989, the 22nd ISCAS. Part 1

Y2 - 8 May 1989 through 11 May 1989

ER -

Fourier-Walsh representation of a class of non-stationary signals

Abstract

Other

ASJC Scopus subject areas

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