Title: Study of LDPC decoders with quadratic residue sequence for communication system

Authors: A. Rajagopal; K. Karibasappa; Patel K.S. Vasundara

Addresses: Department of Electronics and Communication Engineering, Dayananda Sagar College of Engineering, Bengaluru, India ' Department of Electronics and Communication Engineering, Dayananda Sagar Academy of Technology and Management, Bengaluru, India ' Department of Electronics and Communication Engineering, BMS College of Engineering, Bengaluru, India

Abstract: This paper shows an effective combination of LDPC codes along with DSSS technique to achieve the most reliable and an efficient transmission of information signal. Here the LogSPA and SSD decoders are selected for the decoding task and spreading of signal in DSSS is achieved by using quadratic residue sequences that are based on prime numbers as pseudo-noise sequences (PN sequence). In particular the PN sequences being used here are Legendre and Weil sequences. Due to the significant increase in the trend of PN sequence's application in global positioning system (GPS) and satellite communication systems, in the present work an attempt is done to show suitability of PN sequences based on quadratic residues with LDPC codes which have gained substantial importance in recent advancements due to their excellent error-correcting capabilities.

Keywords: low density parity check; LDPC; direct sequence spread spectrum; DSSS; simplified soft distance; SSD; bit error rate; BER; logarithmic sum product algorithm; LogSPA; signal to noise ratio; SNR.

DOI: 10.1504/IJICS.2020.108122

International Journal of Information and Computer Security, 2020 Vol.13 No.1, pp.18 - 31

Received: 09 Feb 2018
Accepted: 24 May 2018
Published online: 03 Jul 2020 *

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