Title: Target codes

Authors: Munibun Billah; Janak Sodha; Todd K. Moon

Addresses: Information Dynamics Laboratory, Electrical and Computer Engineering Department, Utah State University, Logan, UT, 84322, USA ' Department of Computer Science, Mathematics and Physics, University of the West Indies, Bridgetown, Barbados ' Information Dynamics Laboratory, Electrical and Computer Engineering Department, Utah State University, Logan, UT, 84322, USA

Abstract: A new type of error-control code is proposed in which a signal point within the modulator signal constellation diagram is selected as the target signal point. An incoming signal point is then encoded by using the number of steps along a pre-defined path to the target point. By introducing a state variable, trellis based decoding is made possible. The encoding process is generalised for M-ary QAM with high rate encoding to present the BER performance of signal point target codes (SPTCs) over quadrature phase shift keying (QPSK), 16-QAM, 64-QAM and 256-QAM signal constellations. Free Euclidean distance calculations are used to modify the encoding algorithm to develop constellation arithmetic codes (CACs) with an improved coding gain. For example, a rate 2/3 CAC code using partial parallel encoding provides a BER coding gain of 5.5 dB over uncoded 64-QAM.

Keywords: convolutional codes; block codes; shape codes; error-control; QPSK; quadrature phase shift keying; QAM; quadrature amplitude modulation.

DOI: 10.1504/IJMNDI.2022.126478

International Journal of Mobile Network Design and Innovation, 2022 Vol.10 No.3, pp.166 - 174

Received: 04 Dec 2021
Accepted: 12 May 2022
Published online: 26 Oct 2022 *

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