Duality of Channel Encoding and Decoding - Part I: Rate-1 Convolutional Codes

Details Duality of Channel Encoding and Decoding - Part I: Rate-1 Convolutional Codes Duality of Channel Encoding and Decoding - Part I: Rate-1 Convolutional Codes

2012-01-12

arxiv.org/abs/1201.2483v1

Computer Science

Information Theory

33 pages, 19 figures, submitted to IEEE Transactions on Information Theory

Scientific paper

In this paper, we revisit the forward, backward and bidirectional Bahl-Cocke-Jelinek-Raviv (BCJR) soft-input soft-output (SISO) maximum a posteriori probability (MAP) decoding process of rate-1 convolutional codes. From this we establish some interesting duality properties between encoding and decoding of rate-1 convolutional codes. We observe that the forward and backward BCJR SISO MAP decoders can be simply represented by their dual SISO channel encoders using shift registers in the complex number field. Similarly, the bidirectional MAP decoding can be implemented by linearly combining the outputs of the dual SISO encoders of the respective forward and backward decoders. The dual encoder structures for various recursive and non-recursive rate-1 convolutional codes are derived.

Affiliated with

Also associated with

No associations

Rating

Duality of Channel Encoding and Decoding - Part I: Rate-1 Convolutional Codes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Duality of Channel Encoding and Decoding - Part I: Rate-1 Convolutional Codes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Duality of Channel Encoding and Decoding - Part I: Rate-1 Convolutional Codes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-151590