Stoian, "The Decision Reliability of MAP, Log-MAP, Max-Log-MAP and SOVA Algorithms or Turbo Codes
," International Journal of Communications, vol.
Further improvement on the existing works led to development of an embed Turbo codes
 in the system in order to achieve higher coding gain.
Abstract: Turbo codes
apply an iterative message passing mechanism between two concatenated decoders.
'Nea Shannon Limit Error-Correcting Coding: Turbo Codes
', Proceedings of the IEEE International Conference on Communications, ICC'93, Geneva, pp: 1064-1070.
are a class of error-correcting codes with very good performance in the waterfall region of the error rate curve , but they suffer from the "error-floor" effect at high values of signal to noise ratio (SNR), wich is a flattening of the error curve.
During the last 50 years, while many good codes have been constructed, but only from 1993, with the introduction of turbo codes
(2), the rediscoveries of LDPC codes (3), and the study of related codes and associated iterative decoding algorithms, researchers started to see codes that approach the expectation of Shannon's noisy-channel coding theorem in practice.
The editors have organized the contributions in thirteen chapters devoted to turbo codes
, turbo-like codes constructions, low-density parity-check code constructions, LDPC decoders, code design and EXIT charts, failures and error floors of iterative decoders, and a wide variety of other related subjects.
The studies of wireless fading channels with the LDPC codes or turbo codes
were presented in [11-20] with several modulation schemes [9, 10, 21] such as binary modulation (binary phase shift keying (BPSK)) or nonbinary modulations.
The third edition of this guide to the applications possible with MATLAB has been updated to use the newest edition of MATLAB and features added chapters on OFDM, multiple antenna systems, and digital transmission on fading channels, added sections on DPCM, ADPCM, DM, turbo codes
and decoding, and LDPC codes and decoding.
were applied mainly with binary phase shift keying (BPSK) where the simple mapping and direct link between the binary 0's and 1's on one hand and the positive and negative signals on the other hand results in simple transceiver structures.
of California at Davis) for graduate students in engineering and computer science as well as research and development engineers in industry and academia, this volume provides a single source introduction to channel coding, covering both classical codes and the newer codes that have been developed since the 1993 breakthrough discovery of turbo codes
and the mid-1990s rediscovery of low-density parity-check codes (first discovered in 1961), with an emphasis on codes for binary-input channels, including the binary-input additive white-Gaussian-noise channel, the binary symmetric channel, and the binary erasure channel.