Error Correction Coding : Mathematical Methods and Algorithms

Providing in-depth treatment of error correction Error Correction Coding: Mathematical Methods and Algorithms, 2nd Edition provides a comprehensive introduction to classical and modern methods of error correction. The presentation provides a clear, practical introduction to using a lab-oriented approach. Readers are encouraged to implement the encoding and decoding algorithms with explicit algorithm statements and the mathematics used in error correction, balanced with an algorithmic development on how to actually do the encoding and decoding. Both block and stream (convolutional) codes are discussed, and the mathematics required to understand them are introduced on a “just-in-time” basis as the reader progresses through the book. The second edition increases the impact and reach of the book, updating it to discuss recent important technological advances. New material includes: Extensive coverage of LDPC codes, including a variety of decoding algorithms. A comprehensive introduction to polar codes, including systematic encoding/decoding and list decoding. An introduction to fountain codes. Modern applications to systems such as HDTV, DVBT2, and cell phones Error Correction Coding includes extensive program files (for example, C++ code for all LDPC decoders and polar code decoders), laboratory materials for students to implement algorithms, and an updated solutions manual, all of which are perfect to help the reader understand and retain the content. The book covers classical BCH, Reed Solomon, Golay, Reed Muller, Hamming, and convolutional codes which are still component codes in virtually every modern communication system. There are also fulsome discussions of recently developed polar codes and fountain codes that serve to educate the reader on the newest developments in error correction. **Providing in-depth treatment of error correction** __Error Correction Coding: Mathematical Methods and Algorithms, 2nd Edition__provides a comprehensive introduction to classical and modern methods of error correction. The presentation provides a clear, practical introduction to using a lab-oriented approach. Readers are encouraged to implement the encoding and decoding algorithms with explicit algorithm statements and the mathematics used in error correction, balanced with an algorithmic development on how to actually do the encoding and decoding. Both block and stream (convolutional) codes are discussed, and the mathematics required to understand them are introduced on a “just-in-time” basis as the reader progresses through the book. The second edition increases the impact and reach of the book, updating it to discuss recent important technological advances. New material includes: * Extensive coverage of LDPC codes, including a variety of decoding algorithms. * A comprehensive introduction to polar codes, including systematic encoding/decoding and list decoding. * An introduction to fountain codes. * Modern applications to systems such as HDTV, DVBT2, and cell phones The book covers classical BCH, Reed Solomon, Golay, Reed Muller, Hamming, and convolutional codes which are still component codes in virtually every modern communication system. There are also fulsome discussions of recently developed polar codes and fountain codes that serve to educate the reader on the newest developments in error correction. "The book provides a comprehensive introduction to error correction, covering both classical and modern material, including both block and stream (convolutional) codes. The book presents the needed mathematical material in a "just in time" approach. That is, when a topic is presented (such as group theory), this is immediately used in applications. Topics new to this edition include shortened codes, an inversionless BCH (Bose--Chaudhuri--Hocquenghem) decoding algorithm, approximate message passing, stochastic algorithms, bit-interleaved coded modulation, and more. Also covers classical BCH and Reed Solomon, Golay, Reed Muller, or Hamming codes these codes are still component codes in virtually every modern communication system and explores recently developed polar codes and fountain codes which are gaining importance."-- Provided by publisher