Title :
An iterative algorithm for signal reconstruction from bispectrum
Author_Institution :
Dept. of Electr. & Electron. Eng., Bilkent Univ., Ankara, Turkey
fDate :
12/1/1991 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
