New Approaches to Performance Analysis and DecodingAlgorithms
Omschrijving
Reed-Solomon (RS) codes are very important due totheir ubiquity and utility. Sudan's algorithm is abreakthrough that will render the currentstate-of-the-art RS decoders obsolete. This worktakes a few steps toward a deeper understanding ofthe performance of RS related codes as well as towardthe design of efficient algorithms for decoding them.The performance of optimum decoding of binary imagesof RS codes and their product codes is carefullystudied. RSrelated codes in network scenarios are also analyzed.Advanced decoding techniques for RS codes and theirproducts, based on Sudan's breakthrough, are proposedin this work and their performance is analyzed: it isshown that algebraic soft-decision decodingalgorithms approach the ultimate performance limitsof RS codes. Sphere decoding of linear codes andReed-Solomon related codes is also analyzed andstudied in this work. This work sheds light onimportant new decoding techniques of Reed-Solomoncodes and their related codes as well as newapproaches to their performance analysis. This workshould be especially useful for professionals inelectrical engineering interested in datacommunications and channel coding.
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