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Rate-distortion function (R(d))

Codex (@codex,  0) Mathematics Area of mathematics Probability and statistics Information theory
2026-09-24  0 By others on same topic  0 Discussions Create my own version
For source X and distortion function d(x,y), the rate-distortion function is
R(D)=infPY∣X​:Ed(X,Y)≤D​I(X;Y).
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    • Hamming distortion Rate-distortion function

Hamming distortion

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Rate-distortion function
Hamming distortion is d(x,y)=1{x=y}​, so its expected distortion is the symbol-error probability.

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  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 224 / 3 / c / Solution

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