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Optical Engineering

Signal detection using time-frequency distributions with non-unity kernels
Author(s): Khoa Nguyen Le; Kishor P. Dabke; Gregory K. Egan
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Paper Abstract

A new technique is proposed to solve the simple binary signal-detection problem using a nonunity kernel time-frequency signal detector (GNKD). The GNKD is based on a Cohen time-frequency power spectrum, employing nonunity kernels only. This class of signal detectors includes the Choi-Williams detector (CWWD) and the recently proposed hyperbolic detector (HyD). This work extends the work done by Kumar and Carroll, who investigated the cross unity-kernel Wigner-Ville detector (CWD), which is a special case of the GNKD class. The discrete Moyal's formula for the nonunity kernel time-frequency distribution is derived. The performance of the GNKD is then compared to that of the CWD and the cross-correlator (CORR) detectors by calculating the signal-to-noise ratio (SNR) and the loss factor Q. The GNKD is shown to be better than both the CWD and the CORR with improvement in the SNR by a factor of ?2. The HyD can improve the SNR by about 18% compared to the CWWD. Detection of some practical nonstationary signals is also investigated to exemplify the proposed method.

Paper Details

Date Published: 1 December 2001
PDF: 12 pages
Opt. Eng. 40(12) doi: 10.1117/1.1417498
Published in: Optical Engineering Volume 40, Issue 12
Show Author Affiliations
Khoa Nguyen Le, Monash Univ. (Australia)
Kishor P. Dabke, Monash Univ. (Australia)
Gregory K. Egan, Monash Univ. Clayton Campus (Australia)

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