Convolutional Codes
Jorge Castiñeira Moreira, Patrick Guy Farrell
Abstract
Jorge Castiñeira Moreira, Patrick Guy Farrell
Abstract
This chapter contains sections titled: Linear Sequential Circuits Convolutional Codes and Encoders Description in the D-Transform Domain Convolutional Encoder Representations Convolutional Codes in Systematic Form General Structure of Finite Impulse Response and Infinite Impulse Response FSSMs State Transfer Function Matrix: Calculation of the Transfer Function Relationship between the Systematic and the Non-Systematic Forms Distance Properties of Convolutional Codes Minimum Free Distance of a Convolutional Code Maximum Likelihood Detection Decoding of Convolutional Codes: The Viterbi Algorithm Extended and Modified State Diagram Error Probability Analysis for Convolutional Codes Hard and Soft Decisions Punctured Convolutional Codes and Rate-Compatible Schemes Bibliography and References Problems
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This chapter contains sections titled: Linear Sequential Circuits Convolutional Codes and Encoders Description in the D-Transform Domain Convolutional Encoder Representations Convolutional Codes in Systematic Form General Structure of Finite Impulse Response and Infinite Impulse Response FSSMs State Transfer Function Matrix: Calculation of the Transfer Function Relationship between the Systematic and the Non-Systematic Forms Distance Properties of Convolutional Codes Minimum Free Distance of a Convolutional Code Maximum Likelihood Detection Decoding of Convolutional Codes: The Viterbi Algorithm Extended and Modified State Diagram Error Probability Analysis for Convolutional Codes Hard and Soft Decisions Punctured Convolutional Codes and Rate-Compatible Schemes Bibliography and References Problems
Key concepts: Convolutional code, Serial concatenated convolutional codes, Linear code, Turbo code, Sequential decoding, Viterbi decoder, Algorithm, Concatenated error correction code