Title :
On (n,n-1) Punctured Convolutional Codes and Their Trellis Modules
Author :
Katsiotis, Alexandros ; Kalouptsidis, Nicholas
Author_Institution :
Dept. of Inf. & Telecommun., Nat. & Kapodistrian Univ. of Athens, Athens, Greece
fDate :
5/1/2011 12:00:00 AM
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.
Keywords :
convolutional codes; trellis codes; antipodal encoder; noncatastrophic punctured convolutional encoder; trellis modules; Complexity theory; Convolutional codes; Generators; Maximum likelihood decoding; Polynomials; Viterbi algorithm; Punctured convolutional codes; maximum likelihood decoding; minimal trellis; trellis complexity;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2011.020811.100088
