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Adaptive Detection of Transients by the Complex Cepstrum of Higher Order Statistics Based on Givens Rotations

Authors:
Christos Papadopoulos
George Ioannidis
Constantinos Psomopoulos
Konstantinos Papadopoulos

Keywords: Transient signals; Complex Cepstrum; Q-R decomposition; Givens Rotations.

Abstract:
In this paper, the problem of detecting transient signals of unknown waveforms and arrival times embedded in white Gaussian noise is addressed. The use of the cepstrum coefficients of the 4th order correlations of the transient signal for forming a detection statistic is demonstrated. It is considered an adaptive approach for the detection of the signal which is assumed to satisfy a linear constant coefficient difference equation. The adaptive approach is a least squares realization based on Q-R decomposition of the 4th order statistics matrix involved in the computation of the cepstrum coefficients. It is shown that the adaptive approach allows for detection of short length transients which are of unknown arrival times using a single data record even before the whole amount of data becomes available.

Pages: 32 to 38

Copyright: Copyright (c) IARIA, 2018

Publication date: April 22, 2018

Published in: conference

ISSN: 2308-3964

ISBN: 978-1-61208-623-1

Location: Athens, Greece

Dates: from April 22, 2018 to April 26, 2018