assignment2

# assignment2 - EECE 580B Modern Coding Theory WWW...

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Page 1 out of 2. EECE 580B Modern Coding Theory Homework assignment #8 WWW: http://dde.binghamton.edu/filler/mct/hw/8 Due date: December 3, 2:50pm Belief propagation algorithm over the BSC channel In this assignment, you are asked to implement the Belief propagation algorithm and observe its performance over the BSC channel. Problem 1: (Log-likelihood ratio for the BSC channel) Let be a binary sequence obtained through the BSC channel with flipping probability . Implement a function calculating the log-likelihood ratio of every bit of the received sequence function [ LLR ] = bsc_llr( y, f ) %BSC_LLR calculates the log-likelihood ratio of the received vector y for the BSC %channel with crossover probability f. % LLR is a vector of the same size as y with elements LLR_i % this needs to be done ... end Problem 2: (Belief propagation algorithm) For a given parity-check matrix of size and a vector of log-likelihood ratios , implement a function ldpc_decode.m which performs iterations of the Belief propagation algorithm and outputs binary word representing the final bitwise ML estimate of every bit. Use the

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