1 December 2001 Signal detection using time-frequency distributions with non-unity kernels
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Optical Engineering, 40(12), (2001). doi:10.1117/1.1417498
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.
Khoa Nguyen Le, Kishor P. Dabke, Gregory K. Egan, "Signal detection using time-frequency distributions with non-unity kernels," Optical Engineering 40(12), (1 December 2001). http://dx.doi.org/10.1117/1.1417498
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KEYWORDS
Signal detection

Signal to noise ratio

Sensors

Time-frequency analysis

Interference (communication)

Optical engineering

Sensor performance

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