The full understanding of the theorem also helps in setting the direction to achieve such an optimum. The theorem does, however, provide the theoretical limit so that we know how close we are to the optimum. Unfortunately, the rate-distortion theorem does not provide the recipe for such a design. In this context, the main objective of engineers is however to design the optimum code. Conversely, If R the error probability will be driven away from zero, independent of the complexity of the encoder and the decoder employed. The definitive work in this area is best summarised by Shannon’s source coding theorem, that is, a source with entropy H can be encoded with arbitrarily small error probability at any rate R (bits/ source output as long as R>H. The performance of optimum quantisers subject to an entropy constraint has been studied. Uniform and Non- Uniform Optimum Scalar Quantizers Performances: A Comparative Studyĭirectory of Open Access Journals (Sweden)įull Text Available The aim of this research is to investigate source coding, the representation of information source output by finite R bits/symbol.
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