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Channel Codes by Shu Lin, William Ryan

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4Convolutional Codes

The class of convolutional codes was invented by Elias in 1955 [1] and has been widely in use for wireless, space, and broadcast communications since about 1970. Their popularity stems from the relative ease with which the maximum-likelihood sequence decoder may be implemented and from their effectiveness when concatenated with a Reed-Solomon code. Since the early 1990s, they have enjoyed new respect and popularity due to the efficacy of concatenations of multiple convolutional codes in turbo(-like) codes.

In this chapter, we introduce the class of convolutional codes. We first present algebraic descriptions of convolutional codes, which were pioneered by Forney [2] and extended by Johannesson and Zigangirov [3]. We also ...

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