ON THE PRINCIPAL DOMAIN OF THE DISCRETE BISPECTRUM OF A STATIONARY SIGNAL

This 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, where the bispectrum is zero for a stationary random sampled process that is not aliased. The basic statistical issues of testing for nonzero bisp ectral structure are reviewed.