An iterative algorithm for signal reconstruction from bispectrum

Author

Çetin, A. Enis

Author_Institution

Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey

Volume

39

Issue

12

fYear

1991

fDate

12/1/1991 12:00:00 AM

Firstpage

2621

Lastpage

2628

Abstract

The author presents a procedure to reconstruct a (minimum or nonminimum phase) discrete-time signal from its bispectrum. The algorithm is iterative and based on using the method of projections onto convex sets (POCS) in an inner product space in which the vector space consists of real sequences, and vector addition, is defined in terms of the convolution operation. Prior information, such as an energy bound on the signal, can be incorporated into this algorithm. An algorithm that employs energy information was found to produce better results in simulation than one that ignores energy constraints

Keywords

iterative methods; signal synthesis; spectral analysis; bispectrum; convolution; discrete-time signal; energy bound; energy information; inner product space; iterative algorithm; minimum phase signal; nonminimum phase signal; projections onto convex sets; signal reconstruction; simulation; vector addition; vector space; Convolution; Fourier transforms; Hilbert space; Image processing; Image reconstruction; Iterative algorithms; Iterative methods; Signal processing algorithms; Signal reconstruction; Signal synthesis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.107412

Filename

107412