Title :
On the principal domain of the discrete bispectrum of a stationary signal
Author :
Hinich, Melvin J. ; Messer, Hagit
Author_Institution :
Appl. Res. Lab., Texas Univ., Austin, TX, USA
fDate :
9/1/1995 12:00:00 AM
Abstract :
The paper presents a simplifying, yet general approach to determining the symmetry structure of a bispectrum. The principal domain (PD) of the bispectrum and its region of positive support are derived in a way that illuminates the controversy surrounding the triangle in the PD, which is called the outer triangle (OT) by Hinich and Wolinsky (1988), where the bispectrum is zero for a stationary random sampled process that is not aliased. The basic statistical issues of testing for nonzero bispectral structure are reviewed
Keywords :
discrete systems; random processes; signal sampling; spectral analysis; aliased processed; bispectrum; discrete bispectrum; outer triangle; positive support; principal domain; stationary random sampled process; stationary sign; symmetry structure; Fourier transforms; Frequency; Power engineering and energy; Power engineering computing; Sampling methods; Senior members; Signal analysis; Signal processing; Spectral analysis; Testing;
Journal_Title :
Signal Processing, IEEE Transactions on
