Polar Coding Tutorial Step-by-Step example.pdf-资料库

Polarization Encoding Decoding Construction Performance Polar Coding Tutorial Erdal Arıkan Electrical-Electronics Engineering Department Bilkent University Ankara, Turkey Jan. 15, 2015 Simons Institute UC Berkeley

Polarization Encoding Decoding Construction Performance The channel Let W : X → Y be a binary-input discrete memoryless channel X W Y ◮ input alphabet: X = {0, 1}, ◮ output alphabet: Y, ◮ transition probabilities: W (y |x), x ∈ X , y ∈ Y

Polarization Encoding Decoding Construction Performance Symmetry assumption Assume that the channel has “input-output symmetry.”

Polarization Encoding Decoding Construction Performance Symmetry assumption Assume that the channel has “input-output symmetry.” Examples: BSC(ǫ) 1 − ǫ 1 − ǫ 0 1 ǫ ǫ 0 1

Polarization Encoding Decoding Construction Performance Symmetry assumption Assume that the channel has “input-output symmetry.” Examples: BSC(ǫ) 1 − ǫ 1 − ǫ 0 1 ǫ ǫ 0 1 0 1 BEC(ǫ) 1 − ǫ ǫ ǫ 1 − ǫ 0 ? 1

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Polar Coding Tutorial Step-by-Step example.pdf

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