14 November 1989 Proportional Bandwidth, Wideband Wigner-Ville Analysis
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Abstract
The Wigner-Ville (W-V) distribution is a time-frequency representation that yields a highly accurate estimate of instantaneous frequency. It is related to the narrowband ambiguity function by an integral transform, and it can be used in a variety of detection and estimation problems. Convolution of signal and filter W-V distributions yields a spectrogram that could also be constructed with a bank of constant bandwidth filters. The wideband, ambiguity function represents the Doppler effect with dilation or compression rather than with frequency shift as in the narrowband approximation. The "Q-distribution" is a modified W-V representation that is related to the wideband ambiguity function by an integral transform and can be used to construct a proportional bandwidth spectrogram corresponding to a bank of constant-Q filters. The Q-distribution is thus a wideband version of the W-V distribution. Properties of the Q-distribution indicate that it may prove useful for detection and parameter estimation as well as measurement of wideband scattering functions.
© (1989) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Richard A. Altes, "Proportional Bandwidth, Wideband Wigner-Ville Analysis", Proc. SPIE 1152, Advanced Algorithms and Architectures for Signal Processing IV, (14 November 1989); doi: 10.1117/12.962283; https://doi.org/10.1117/12.962283
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