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On Convolutional Lattice Codes and Lattice Decoding Using Trellis Structure

delete2016-01-01
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OA
AI
M
Mehdi M. Molu *
K
Kanapathippillai Cumanan
M
Manijeh Bashar
A
Alister G. Burr
DOI:10.1109/ACCESS.2016.2632038delete
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Abstract

Abstract

En 中文
Constructing hypercubic lattices from convolutional codes based on Constructions A and D is investigated in this paper and their error performance in a point-to-point communication system is studied. Moreover, analogous to Construction A/D, single/multilayer code lattices are proposed. As Construction D requires certain minimum Euclidean distance criteria, we propose methods to guarantee the distance requirements of Construction D, which results in a superior lattice construction compared with Construction A. Due to the key role of soft input soft out decoding algorithms in improving the performance of a code, lattice decoding based on the Bahl, Cocke, Jelinek and Raviv (BCJR) algorithm for lattices constructed from convolutional codes is also proposed in this paper. Moreover, as the BCJR algorithm requires knowledge of the statistical characteristics of modulo lattice additive noise (MLAN), the probability density function of MLAN is derived in closed form.
Keywords:
Lattice encoding/decoding
convolutional lattices
BCJR lattice decoder
construction A/D
modulo-lattice additive noise

Journal

IEEE Access cover
IEEE Access
IF:
3.6
Papers:
9.8W
Citations:
29.4W

Organization

U
university of york - uk
Scholars:
1.5W
Papers: 1.5W
Citations: 15
U
University of Surrey
Scholars:
1.2W
Papers: 1.3W
Citations: 22
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