Data Compression of Poisson Processes.
CALIFORNIA UNIV LOS ANGELES DEPT OF SYSTEM SCIENCES
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In the paper, the author derives rate-distortion functions, under proper magnitude-error fidelity criteria, and studies instrumentable data-compression schemes for Poisson processes. In particular, the author derives information rates and obtains rate-distortion relationships for practical data-compression schemes, for the reproduction of the unordered sequency of poisson event occurrences, for the reproduction of the sample functions of the Poisson counting process, and for the reproduction of the sequence of intervals between the event occurrences of a Poisson process. The reproducing processes are taken to be point or jump processes themselves. The performances of the various data-compression schemes presented here are compared with those of the ideal schemes as presented by the rate-distortion functions, and are shown to be close to the latter over wide regions of distortion. Modified author abstract