Nonlinear Systems Analysis and Design
Example Matlab code
The following Matlab code is provided for illustration purposes:
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Belief Propagation as a Dynamical System -- Matlab Code
Some example Matlab code to generate parity-check matrices, together with supporting code to implement the dynamical system described in the article "Belief Propagation as a Dynamical System: The Linear Case and Open Problems."
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Belief Propagation as a Dynamical System -- Documentation
A technical report to document the above Matlab code. It contains a step-through example to generate a parity-check matrix, a generator matrix out of that parity-check matrix, a random message, to encode this message to a codeword, transmit this after BPSK modulation via an AWGN channel, computation of the a-posteriori probability ratios on the receiver side and finally to apply the Belief Propagation algorithm to these a-priori LLRs to get (approximate) a-posteriori LLRs.