An Efficient Implementation For Real Time Applications Of The Wigner-Ville Distribution

Boualem Boashash; Peter Black; Harper J. Whitehouse

doi:10.1117/12.976243

23 March 1986 An Efficient Implementation For Real Time Applications Of The Wigner-Ville Distribution

Boualem Boashash, Peter Black, Harper J. Whitehouse

Proceedings Volume 0698, Real-Time Signal Processing IX; (1986) https://doi.org/10.1117/12.976243
Event: 30th Annual Technical Symposium, 1986, San Diego, United States

Abstract

The Wigner-Ville Distribution (WVD) is a valuable tool for time-frequency signal analysis. In order to implement the WVD in real time an efficient algorithm and architecture have been developed which may be implemented with commercial components. This algorithm successively computes the analytic signal corresponding to the input signal, forms a weighted kernel function and analyses the kernel via a Discrete Fourier Transform (DFT). To evaluate the analytic signal required by the algorithm it is shown that the time domain definition implemented as a finite impulse response (FIR) filter is practical and more efficient than the frequency domain definition of the analytic signal. The windowed resolution of the WVD in the frequency domain is shown to be similar to the resolution of a windowed Fourier Transform. A real time signal processsor has been designed for evaluation of the WVD analysis system. The system is easily paralleled and can be configured to meet a variety of frequency and time resolutions. The arithmetic unit is based on a pair of high speed VLSI floating-point multiplier and adder chips. Dual operand buses and an independent result bus maximize data transfer rates. The system is horizontally microprogrammed and utilizes a full instruction pipeline. Each microinstruction specifies two operand addresses, a result location, the type of arithmetic and the memory configuration. input and output is via shared memory blocks with front-end processors to handle data transfers during the non access periods of the analyzer.

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Boualem Boashash, Peter Black, and Harper J. Whitehouse "An Efficient Implementation For Real Time Applications Of The Wigner-Ville Distribution", Proc. SPIE 0698, Real-Time Signal Processing IX, (23 March 1986); https://doi.org/10.1117/12.976243

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