Comment on "Improved Analysis of List Decoding and Its Application to Convolutional Codes and Turbo Codes

Author

Aulin, T.M.

Author_Institution

Telecommun. Theor., Chalmers Univ. of Technol., Gothenburg, Sweden

Volume

55

Issue

8

fYear

2009

Firstpage

3892

Lastpage

3892

Abstract

In a recent paper (Bai , IEEE Trans. Inf. Theory, 2007), an improved analysis concerning the analysis of List Decoding was presented. The event that the correct codeword is excluded from the list is central. For the additive white Gaussian noise (AWGN) channel an important quantity is the in (Bai , IEEE Trans. Inf. Theory, 2007) called effective Euclidean distance. This was earlier considered in (Aulin, IEEE Trans. Commun., 1999) under the name Vector Euclidean Distance (VED), where also a simple mathematical expression for this quantity was easily derived for any list size. In (Bai , IEEE Trans. Inf. Theory, 2007) , a geometrical analysis gives this when the list size is 1, 2, or 3.

Keywords

AWGN channels; convolutional codes; decoding; turbo codes; AWGN channel; additive white Gaussian noise channel; convolutional codes; effective Euclidean distance; geometrical analysis; list decoding; turbo codes; vector euclidean distance; AWGN; Additive white noise; Convolutional codes; Error probability; Euclidean distance; Gaussian noise; Maximum likelihood decoding; Maximum likelihood detection; Signal to noise ratio; Turbo codes; Additive white Gaussian noise (AWGN) error probability; codeword error; correct path loss (CPL); list decoding; maximum-likelihood sequence detection (MLSD); vector Euclidean distance (VED);

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/TIT.2009.2023711

Filename

5165189