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Rate–distortion theory - Wikipedia

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Rate–distortion theory is a major branch of information theory which provides the theoretical foundations for lossy data compression; it addresses the problem of determining the minimal number of bits per symbol, as measured by the rate R, that should be communicated over a channel, so that the source (input signal) can be approximately reconstructed at the receiver (output signal) without exceeding an expected distortion D. Rate–distortion theory gives an analytical expression for how much compression can be achieved using lossy compression methods. Many of the existing audio, speech, image, and video compression techniques have transforms, quantization, and bit-rate allocation procedures that capitalize on the general shape of rate–distortion functions. Rate–distortion theory was created by Claude Shannon in his foundational work on information theory. In rate–distortion theory, the rate is usually understood as the number of bits per data sample to be stored or transmitted. The noti

Rate–distortion theory - Wikipedia Jump to content From Wikipedia, the free encyclopedia Theory about lossy data compression Information theory Entropy Differential entropy Conditional entropy Joint entropy Mutual information Directed information Conditional mutual information Relative entropy Entropy rate Limiting density of discrete points Asymptotic equipartition property Rate–distortion theory Shannon's source coding theorem Channel capacity Noisy-channel coding theorem Shannon–Hartley theorem v t e This article needs more citations . Please help improve this article by adding citations to

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