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<p>This thesis investigates optimizing the speed of computation for computing  the Choi-Williams distribution. The Choi-Williams distribution is a way of  simultaneously representing a signal in both the time and frequency domains in a  fashion that makes it possible to extract the waveform parameters of the signal.  The Choi-Williams distribution is particularly useful for analyzing low probability of  intercept signals for electronic intelligence applications. The usefulness of the  distribution is directly correlated to the speed of computation. This thesis  examines methods in which the Choi-Williams distribution can be modified to  increase the speed of computation while still maintaining its ability to provide a  clear picture of the signal characteristics. By eliminating the computation of near  zero terms of the Choi-Williams kernel function, the speed of computation can be  increased dramatically while still preserving, and improving, the time-frequency  characteristics. The optimizations developed in this thesis reduced the time to  compute a 512 sample CWD from 6.9 seconds, to 0.0466 seconds on an Intel  chip, Linux based PC-an increase in speed of 147X.
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<br>Subjects: Engineering; Radar; Signal processing</div>
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Hollinger, Kenneth B.</div>
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