Lecture Notes for Statistics 311 / Electrical Engineering 377
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Lecture Notes on Channel Coding
These lecture notes on channel coding were developed for a one-semester course for graduate students of electrical engineering. Chapter 1 reviews the basic problem of channel coding. Chapters 2–5 are on linear block codes, cyclic codes, Reed-Solomon codes, and BCH codes, respectively. The notes are self-contained and were written with the intent to derive the presented results with mathematical...
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where f : R+ → R is a convex function satisfying f(1) = 0. If f is not linear, then Df (P ||Q) > 0 unless P = Q. b. Focusing on binary classification case, let us consider some example risks and see what connections they have to f -divergences. (Recall we have X ∈ X and Y ∈ {−1, 1} we would like to classify.) 1. We require a few definitions to understand the performance of different classificat...
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