A Higher Order Generalization of an Alias-Free Discrete Time-Frequency Analysis

Hiroshi HASEGAWA  Yasuhiro MIKI  Isao YAMADA  Kohichi SAKANIWA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E85-A   No.8   pp.1774-1780
Publication Date: 2002/08/01
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Digital Signal Processing)
Category: Theory of Signals
time-frequency analysis,  higher order moment spectra,  discrete-time & frequency,  kernel design,  hybrid steepest descent method,  

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In this paper, we propose a novel higher order time-frequency distribution (GDH) for a discrete time signal. This distribution is defined over the original discrete time-frequency grids through a delicate discretization of an equivalent expression of a higher order distribution, for a continuous time signal, in [4]. We also present a constructive design method, for the kernel of the GDH, by which the distribution satisfies (i) the alias free condition as well as (ii) the marginal conditions. Numerical examples show that the proposed distributions reasonably suppress the artifacts which are observed severely in the Wigner distribution and its simple higher order generalization.