High-order statistics for sinusoid peak detection

Karim Drouiche; Messaoud Benidir; Abdelkader Mokkadem

doi:10.1117/12.211418

7 June 1995 High-order statistics for sinusoid peak detection

Karim Drouiche, Messaoud Benidir, Abdelkader Mokkadem

Proceedings Volume 2563, Advanced Signal Processing Algorithms; (1995) https://doi.org/10.1117/12.211418
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Detection and estimation of harmonic signals embedded in noise is one of the most encountered problems in the signal processing area. Much research has been done for solving such a problem regarding its importance in many applications. Second order statistics have been used extensively by many authors such as Whittle, Bartlett, Hannan, and Priestley. Each of them proposed a test for harmonic signal detection. However, most of these tests have been proposed under the Gaussina assumption. As a matter of fact, when the the noise is non- Gaussian, statistics of higher order could provide much more information. This is where this paper is directed. We particularly focus our attention on the third and fourth order cumulant methods. Statistical tests based on an extension of the existing tests are used and their efficiency analyzed and discussed.

Citation Download Citation

Karim Drouiche, Messaoud Benidir, and Abdelkader Mokkadem "High-order statistics for sinusoid peak detection", Proc. SPIE 2563, Advanced Signal Processing Algorithms, (7 June 1995); https://doi.org/10.1117/12.211418

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