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Necessary conditions for asymptotically optimal sliding-block or stationarycodes for source coding and rate-constrained simulation of memoryless sourcesare presented and used to motivate a design technique for trellis-encodedsource coding and rate-constrained simulation. The code structure has intuitivesimilarities to classic random coding arguments as well as to ``fake process''methods and alphabet-constrained methods. Experimental evidence shows that theapproach provides comparable or superior performance in comparison withpreviously published methods on common examples, sometimes by significantmargins.

Rate-Constrained Simulation and Source Coding IID Sources