Transient signal detection using higher order moments

The asymptotic performance of transient detection based on higher order moments is theoretically derived, invoking the asymptotic normality of the decision statistics, and a detector based on the third-order absolute moment is proposed. The analysis shows that for a transient duration of less than half the observation window, the proposed detector outperforms the detectors based on the second- and fourth-order moments for a wide range of SNR values. Computer simulations assess the applicability of the theoretical analysis.

[1]  William A. Gardner,et al.  Introduction to random processes with applications to signals and systems: Reviewer: D. W. Clarke Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PK, England , 1988, Autom..

[2]  Yoram Bresler,et al.  A comparison of optimized higher order spectral detection techniques for non-Gaussian signals , 1996, IEEE Trans. Signal Process..

[3]  B. H. Maranda,et al.  The performance analysis of a fourth-moment detector , 1990, International Conference on Acoustics, Speech, and Signal Processing.

[4]  Georgios B. Giannakis,et al.  Signal detection and classification using matched filtering and higher order statistics , 1989, IEEE Trans. Acoust. Speech Signal Process..

[5]  M. Rosenblatt Stationary sequences and random fields , 1985 .

[6]  Georgios B. Giannakis,et al.  Time-domain tests for Gaussianity and time-reversibility , 1994, IEEE Trans. Signal Process..

[7]  H. V. Poor,et al.  Detection of non-Gaussian signals: a paradigm for modern statistical signal processing , 1994, Proc. IEEE.

[8]  John W. Fay,et al.  Power-law processors for detecting unknown signals in colored noise , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[9]  Yoram Bresler,et al.  On the use of asymptotics in detection and estimation , 1996, IEEE Trans. Signal Process..

[10]  H. Vincent Poor,et al.  An Introduction to Signal Detection and Estimation , 1994, Springer Texts in Electrical Engineering.

[11]  Jitendra K. Tugnait,et al.  Detection of random signals by integrated polyspectral analysis , 1996, IEEE Trans. Signal Process..