Corrections to "An Innovations Approach to Viterbi Decoding of Convolutional Codes"

2020/08/20 by Masato Tajima, Tajima, Masato
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Coding theory and cryptography #DNA and Biological Computing #Error Correcting Code Techniques #cs.IT #math.IT

paper · pdf · doi:10.48550/arxiv.2008.08760

6 pages

arxiv created 2020/08/20 · arxiv updated 2020/08/21

Abstract

We correct errors in Section III-B of the above-titled paper. The corrections are related to the joint distribution of the inputs to the main decoder which corresponds to a branch in the code trellis for the main decoder. Note that as far as the distribution of the input corresponding to a single code symbol is concerned, the results in Section III-B are correct. We have noticed that alpha in Proposition 12 (beta in Proposition 14) has another meaning, which has made it possible to derive the joint distribution of the inputs corresponding to the whole branch. Corrections are based on this important observation.

Related

• A Further Note on an Innovations Approach to Viterbi Decoding of Convolutional Codes
• An Innovations Approach to Viterbi Decoding of Convolutional Codes
• Performance Peculiarities of Viterbi Decoder in Mathworks Simulink, GNU Radio and Other Systems with Likewise Implementation
• A Closed Form Expression for the Exact Bit Error Probability for Viterbi Decoding of Convolutional Codes
• Derivation of Mutual Information and Linear Minimum Mean-Square Error for Viterbi Decoding of Convolutional Codes Using the Innovations Method