Article details

Title: Higher-Order Moments and Moment Spectra for Different Types of Deterministic Signals
Author(s): Teofil Oroian   Ion Bădoi            

Abstract: The second-order statistics is a very important tool in the signal processing area. Also, the higher-order statistics is a new interesting tool that is used to reveal some additional information about the analyzed signal. The higher-order moments and moment spectra of the deterministic signal are defined followed by a presentation of their properties. The values of the triple correlation functions and the bispectra are determined and they are analyzed for some particular signals.

Keywords: higher-order statistics, higher-order moments, moment spectra, bispectrum, deterministic signal.

References:
[1] B. BOASHASH, E.J. POWERS, A.M. ZOUBIR (Eds.) – Higher-Order Statistical Signal Processing, Longman, Melbourne, Australia, 1995
[2] J.-L. LACOUME, P.-O. AMBLARD, P. COMON – Statistiques d’ordre supérieur pour le traitement du signal, Masson, Paris, France, 1997
[3] J.M. MENDEL – Tutorial on Higher-Order Statistics (Spectra) in Signal Processing and System Theory: Theoretical Results and Some Applications, Proc. of the IEEE, Vol. 79, No. 3, pp. 278-305, Mar. 1991
[4] C.L. NIKIAS, J.M. MENDEL – Signal Processing with Higher-Order Spectra, IEEE Signal Processing Magazine, Vol. 10, No. 3, pp. 10-37, Jul. 1993
[5] C.L. NIKIAS, A.P. PETROPULU – Higher-Order Spectra Analysis: A Non-Linear Signal Processing Framework, PTR Prentice-Hall, Upper Saddle River, NJ, 1993
[6] T. OROIAN – Contributions to the Radar Signal Processing Using Higher-Order Statistics, Ph.D. Thesis, Military Technical Academy, Bucharest, Romania, 2008 (in Romanian)