The dissertation investigates the design of error correcting codes for modern communication systems, with emphasis on satellite and space communication. A novel design methodology for capacity-approaching codes (low-density parity-check codes over non-binary finite fields) is introduced and analyzed. In particular, the finite-length design for erasure channels, under maximum a-posteriori decoding, is addressed. The identified family of codes provides a remarkable trade-off between decoding complexity, waterfall and error-floor performances, representing de-facto a universal solution to most of the erasure correcting problems.
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The dissertation investigates the design of error correcting codes for modern communication systems, with emphasis on satellite and space communication. A novel design methodology for capacity-approaching codes (low-density parity-check codes over non-binary finite fields) is introduced and analyzed. In particular, the finite-length design for erasure channels, under maximum a-posteriori decoding, is addressed. The identified family of codes provides a remarkable trade-off between decoding compl...
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