Comparison Between Reed–Solomon and BCH Code with Various Modulation Schemes Over Coding Gain and Coding Rate

Year : 2024 | Volume :12 | Issue : 01 | Page : 32-50
By

Monika Kapoor

M. Zahid Alam

Prashant Chaturvedi

  1. Professor Assistant Professor Department of Electronics & Communication Engineering, Lakshmi Narain College of Technology, Bhopal Madhya Pradesh India
  2. Professor Assistant Professor Department of Electronics & Communication Engineering, Lakshmi Narain College of Technology, Bhopal Madhya Pradesh India
  3. Assistant Professor Department of Electronics & Communication Engineering, Lakshmi Narain College of Technology, Bhopal Madhya Pradesh India

Abstract

The main objective of this research paper is to make a comparison between the performance of Reed-Solomon (RS) and Bose–Chaudhuri–Hocquenghem (BCH) codes across different modulation schemes concerning coding gain and coding rate within an additive white Gaussian noise (AWGN) channel system, while maintaining a constant transmission bandwidth. In this paper bit error rate (BER) versus signal/noise (S/N) performance of a Simulink model is validated with MATLAB results for a RS GMSK-based system for various (n, k) combinations. In RS GMSK (63, K) system coding gain is although not achieved up to 5 dB but after this it is significantly high which shows the utility if a coded system over uncoded one. For various other RS GMSK (n, k) combinations like (31, k), (127, k) coding gain is achieved right from 0 dB although not as high as compared to RS GMSK (63, k) system. A notable decrease in BER is noticed in RS GMSK-based systems as the number of parity symbols increases or the coding rate decreases. The same effect over coding gain and coding rate is achieved in a RS-based system with other modulation schemes like BPSK, DPSK, QPSK, and FSK but not as comparable to GMSK modulation scheme. The findings indicate that, within a specific bandwidth, opting for RS GMSK instead of BCH GMSK with (63, k) combinations across various modulation schemes yields the lowest BER across different S/N ratios. At the same time, it has been observed that for BCH encoding, the effect of increase in parity symbols over reduction in BER is not observed with any of the modulation schemes although obtained BER values are lesser than that of RS encoding.

Keywords: AWGN, BCH code, bit error rate (BER), DPSK, FSK, Galois field, GMSK, PSK, Reed-Solomon (RS) code, QPSK

[This article belongs to Research & Reviews: A Journal of Embedded System & Applications(rrjoesa)]

How to cite this article: Monika Kapoor, M. Zahid Alam, Prashant Chaturvedi. Comparison Between Reed–Solomon and BCH Code with Various Modulation Schemes Over Coding Gain and Coding Rate. Research & Reviews: A Journal of Embedded System & Applications. 2024; 12(01):32-50.
How to cite this URL: Monika Kapoor, M. Zahid Alam, Prashant Chaturvedi. Comparison Between Reed–Solomon and BCH Code with Various Modulation Schemes Over Coding Gain and Coding Rate. Research & Reviews: A Journal of Embedded System & Applications. 2024; 12(01):32-50. Available from: https://journals.stmjournals.com/rrjoesa/article=2024/view=138993

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Regular Issue Subscription Review Article
Volume 12
Issue 01
Received March 15, 2024
Accepted March 20, 2024
Published April 4, 2024
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