Abstract

We present an asymptotically efficient coding strategy for a stationary countably infinite source determined over a set of nonnegative integers. If the kth moment µ k of the source data is finite, then asymptotic average coding redundancy for length-n blocks, n ? ?, is upper bounded by C (log n/n) k/(k+1), where C is a nonnegative constant. The coding efficiency is demonstrated via an example of scalar quantization of random variables with generalized Gaussian distribution.

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