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Polynomial Theory of Error Correcting Codes

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Polynomial Theory of Error Correcting Codes/ by Giovanni Cancellieri.
作者:	Cancellieri, Giovanni.
面頁冊數:	XVIII, 732 p. 320 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Signal processing. -
電子資源:	https://doi.org/10.1007/978-3-319-01727-3
ISBN:	9783319017273

Polynomial Theory of Error Correcting Codes
Cancellieri, Giovanni.

Polynomial Theory of Error Correcting Codes[electronic resource] /by Giovanni Cancellieri. - 1st ed. 2015. - XVIII, 732 p. 320 illus.online resource. - Signals and Communication Technology,1860-4862. - Signals and Communication Technology,.

Generator matrix approach to linear block codes -- Wide-sense time-invariant block codes in their generator matrix -- Generator matrix approach to s.s. time-invariant convolutional codes -- Wide-sense time-invariant convolutional codes in their generator matrix -- Parity check matrix approach to linear block codes -- Wide-sense time-invariant block codes in their parity check matrix -- Strict-sense time-invariant convolutional codes in their parity check matrix -- Wide-sense time-invariant convolutional codes in their parity check matrix -- Turbo codes -- Low density parity check codes -- Binomial product generator LDPC block codes -- LDPC convolutional codes -- Appendix A. Matrix algebra in a binary finite field -- Appendix B. Polynomial representation of binary sequences -- Appendix C. Electronic circuits for multiplication or division in polynomial representation of binary sequences -- Appendix D. Survey on the main performance of error correcting 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.

ISBN: 9783319017273

Standard No.: 10.1007/978-3-319-01727-3doiSubjects--Topical Terms:

561459
Signal processing.

LC Class. No.: TK5102.9

Dewey Class. No.: 621.382

Polynomial Theory of Error Correcting Codes
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520 $a 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.
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