On the principal domain of the discrete bispectrum of a stationary signal

摘要

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.