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By Toby Berger, Lee D. Davisson (auth.)

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Fidelity is lost as a result of the compression, but the Universal Source Coding 58 goal is to minimize this hopefully tolerable loss. The optimal performance is now specified by the minimum attainable average distortion using fixed rate codes. The rate may be constrained by channel capacity, available equipment, receiver limitations, storage media, etc. Let (/, (N,R,A) be the dass of alphabet Ä, blocklength N codes having rate less than or equal to R. Define P8 (CN) inf ~ 8 (R,N,A) CN€ (/, (N, R,A) ~ = inf ~ 8 (R,N,A) N ~ 8 parallels the "J\8 performance measure of noiseless coding.

1972) "Optimum Quantizers and Permutation Codes", Trans. IEEE, IT-18, 759-765. , (1973) "Information- Singular Random Processes", Presented at Third International Symposium on Information Theory, Tallinn, Estonia, USSR. UNIVERSAL SOURCE CODING LEE D. DAVISSON Department of Electrical Engineering University of Southern California, Berkeley PREFACE I am grateful to Professor Giuseppe Longo for inviting me to participate in this workshop and for the opportuni ty to present the series of lectures represented by the following notes.

Inform. Theory, Vol. IT-19, pp. 783-795, November 1973. , "A Generalization of Ornstein's d Metrie with Applications to Information Theory", Annals ofProbabiliry (tobe published). M. , "Fixed Rate Universal Source Coding with a Fidelity Criterion", submitted to IEEE Trans. IT. , "Coding Theorems for Non-Ergodie Sources and Sources with Unknown Parameters", USC Technieal Report, February 1974. , vol IT-18, No. 4, July 1972, pp. 460-473.

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