High-Resolution Scalar Quantization With Rényi Entropy Constraint
نویسندگان
چکیده
منابع مشابه
High-resolution scalar quantization with Rényi entropy constraint
We consider optimal scalar quantization with rth power distortion and constrained Rényi entropy of order α. For sources with absolutely continuous distributions the high rate asymptotics of the quantizer distortion has long been known for α = 0 (fixed-rate quantization) and α = 1 (entropyconstrained quantization). These results have recently been extended to quantization with Rényi entropy cons...
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Properties of scalar quantization with rth power distortion and constrained Rényi entropy of order α ∈ (0, 1) are investigated. For an asymptotically (high-rate) optimal sequence of quantizers, the contribution to the Rényi entropy due to source values in a fixed interval is identified in terms of the “entropy density” of the quantizer sequence. This extends results related to the well-known po...
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Optimal scalar quantization subject to an entropy constraint is studied for a wide class of diierence distortion measures including rth power distortions with r > 0. It is proved that if the source is uniformly distributed over an interval, then for any entropy constraint R (in nats), an optimal quantizer has N = e R interval cells such that N ? 1 cells have equal length d and one cell has leng...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2011
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2011.2165809