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Engineering - Signals & Communication | Polynomial Theory of Error Correcting Codes

Polynomial Theory of Error Correcting Codes

Cancellieri, Giovanni

2015, XVIII, 732 p. 320 illus.

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  • Enables the reader gradually to gain a clear understanding of the theory with the aid of more than 100 examples
  • Allows rapid location of information by means of a list of more than 150 indexed definitions
  • Offers technicians a new perspective through a unitary approach to block and convolutional codes
The book offers an original view on channel coding, based on a unitary approach to block and convolutional codes for error correction. It presents both new concepts and new families of codes. For example, lengthened and modified lengthened cyclic codes are introduced as a bridge towards time-invariant convolutional codes and their extension to time-varying versions. The novel families of codes include turbo codes and low-density parity check (LDPC) codes, the features of which are justified from the structural properties of the component codes. Design procedures for regular LDPC codes are proposed, supported by the presented theory. Quasi-cyclic LDPC codes, in block or convolutional form, represent one of the most original contributions of the book. The use of more than 100 examples allows the reader gradually to gain an understanding of the theory, and the provision of a list of more than 150 definitions, indexed at the end of the book, permits rapid location of sought information.

Content Level » Research

Keywords » Digital Communications - Digital Error Control - Error Correcting Codes - Generator Matrix - Parity Check Matrix - Reliable Data Transmission

Related subjects » Algebra - Hardware - Signals & Communication

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