Computer Science – Information Theory
Scientific paper
2005-11-08
Computer Science
Information Theory
10 pages, 7 figures, 43rd Anual Allerton Conference on Communication, Control and Computing
Scientific paper
We propose a computationally efficient multilevel coding scheme to achieve the capacity of an ISI channel using layers of binary inputs. The transmitter employs multilevel coding with linear mapping. The receiver uses multistage decoding where each stage performs a separate linear minimum mean square error (LMMSE) equalization and decoding. The optimality of the scheme is due to the fact that the LMMSE equalizer is information lossless in an ISI channel when signal to noise ratio is sufficiently low. The computational complexity is low and scales linearly with the length of the channel impulse response and the number of layers. The decoder at each layer sees an equivalent AWGN channel, which makes coding straightforward.
Chen Mei
Collins Oliver M.
Li Tiancheng
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