Polynomial Theory of Error Correcting Codes

• Κύριος συγγραφέας: Cancellieri, Giovanni (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Σειρά: Signals and Communication Technology,
• Θέματα: Engineering.; Arithmetic and logic units, Computer.; Algebra.; Field theory (Physics).; Signal, Image and Speech Processing.; Field Theory and Polynomials.; Arithmetic and Logic Structures.

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-invaria...

Πίνακας περιεχομένων:

• 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.