Fixed rate universal lossy source coding for memoryless sources and rates of convergence

A fixed rate universal lossy source coding scheme is introduced for i.i.d. sources. It is shown that as the sample size n grows the per letter distortion obtained using this universal quantizer converges to Shannon's distortion-rate function D(R) in expectation at a rate O(log n/n) for finite alphabet sources and O(/spl radic/(log n/n)) both in expectation and almost surely for bounded real valued sources.<
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