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Nested codes have been employed in a large number of communication applications as a specific case of superposition codes, for example to implement binning schemes in the presence of noise, in joint network-channel coding, or in physical-layer secrecy. Whereas nested lattice codes have been proposed recently for continuous-input channels, in this paper we focus on the construction of nested linear...
We propose a symbol-based belief propagation (BP) algorithm for iterative soft-decision decoding of Reed-Solomon (RS) codes. Complexity reduction is achieved by using a fast Fourier transform (FFT)-based BP algorithm. Parity-check matrix adaptation based on the reliability of the codeword symbols is an essential step to make the BP algorithm effective on high-density parity-check matrices characteristic...
We analyze MIMO systems where either Bit-Interleaved Coded Modulation (BICM) by itself or in concatenation with Space-Time Block Codes (STBCs) is used at transmission, assuming iterative Turbo-like decoding at reception. We employ Serially-Concatenated Low-Density Generator Matrix (SCLDGM) codes specifically optimized for each system configuration, and focus on two relevant STBCs: the Golden code,...
This letter investigates the performance of short forward error-correcting (FEC) codes. Reed-Solomon (RS) codes and concatenated zigzag codes are chosen as representatives of classical algebraic codes and modern simple iteratively decodable codes, respectively. Additionally, random binary linear codes are used as a baseline reference. Our main results (demonstrated by simulations and ensemble distance...
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