Nonlinear Analysis of the Iterative Decoding of Parallel Concatenated Convolutional Codes
F. Lehmann, G.M. Maggio · IEEE Transactions on Information Theory · 2005
In this correspondence, we introduce a simple one-dimensional (1-D) nonlinear map to describe the iterates of the bit-error rate (BER) of parallel-concatenated convolutional codes (PCCC) on the binary-input Gaussian channel. A lower bound on this map is derived based upon the weight enumerator of the constituent codes, thus enabling the characterization of the dynamics of the decoder in terms of fixed points, along with the associated stability analysis.