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- W2183601388 abstract "We analyze the behavior of the mean squared error (MSE) achievable by oversampled, uniform scalar quantization using feedback, pre- and post-filters of unrestricted order, when encoding wide-sense stationary discrete-time random sources having (possibly) unbounded support. Our results are based upon the use of subtractively dithered uniform scalar quantizers. We consider the number of quantization levels, , to be given and fixed, which lends itself to fixed-rate encoding, and focus on the cases in which is insufficient to avoid overload. In order to guarantee the stability of the closed-loop, we consider the use of a clipper before the scalar quantizer. Our results are valid for zero-mean sources having independent innovations whose moments satisfy some mild requirements, which are met by infi- nite-support distributions such as Gaussian and Laplacian. We show that, for fixed , the MSE can be made to decay with the oversampling ratio as when tends to infinity, where . We note that the latter bound is asymptotic in but not in , and that it includes clipping errors." @default.
- W2183601388 created "2016-06-24" @default.
- W2183601388 creator A5041378884 @default.
- W2183601388 date "2009-01-01" @default.
- W2183601388 modified "2023-09-26" @default.
- W2183601388 title "A Bound on the MSE of Oversampled Dithered" @default.
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