On (n,n-1) Punctured Convolutional Codes and Their Trellis Modules
Alexandros Katsiotis, N. Kalouptsidis
Abstract
Alexandros Katsiotis, N. Kalouptsidis
Abstract
It is known that an (n,n-1) non catastrophic antipodal punctured convolutional encoder of memory m is minimal. That is, the corresponding code cannot be produced by an encoder of smaller memory size. In this letter it is shown that the trellis module of a code produced by an (n,n-1) non catastrophic punctured convolutional encoder is optimum, if and only if the encoder is antipodal.
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It is known that an (n,n-1) non catastrophic antipodal punctured convolutional encoder of memory m is minimal. That is, the corresponding code cannot be produced by an encoder of smaller memory size. In this letter it is shown that the trellis module of a code produced by an (n,n-1) non catastrophic punctured convolutional encoder is optimum, if and only if the encoder is antipodal.
Key concepts: Convolutional code, Encoder, Antipodal point, Trellis (graph), Computer science, Code (set theory), Algorithm, Decoding methods