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# A Reed-Solomon Coded DS-CDMA System Using Noncoherent M-ary Orthogonal Modulation over Multipath Fading Channels

Yang, L-L., Yen, K. and Hanzo, L. (2000) A Reed-Solomon Coded DS-CDMA System Using Noncoherent M-ary Orthogonal Modulation over Multipath Fading Channels IEEE Journal on Selected Areas in Communications, 18, (11), pp. 2240-2251.

Record type: Article

## Abstract

The performance of Reed–Solomon (RS) coded direct-sequence code division multiple-access (DS-CDMA) systems using noncoherent M-ary orthogonal modulation is investigated over multipath Rayleigh fading channels. Diversity reception techniques with equal gain combining (EGC) or selection combining (SC) are invoked and the related performance is evaluated for both uncoded and coded DS-CDMA systems. "Errors-and-erasures" decoding is considered, where the erasures are based on Viterbi’s so-called ratio threshold test (RTT). The probability density functions (PDF) of the ratio associated with the RTT conditioned on both the correct detection and erroneous detection of the M-ary signals are derived. These PDFs are then used for computing the codeword decoding error probability of the RS coded DS-CDMA system using "errors-and-erasures" decoding. Furthermore, the performance of the "errors-and-erasures" decoding technique employing the RTT is compared to that of "error-correction-only" decoding refraining from using side-information over multipath Rayleigh fading channels. As expected, the numerical results show that when using "errors-and-erasures" decoding, RS codes of a given code rate can achieve a higher coding gain than without erasure information. Index Terms—Direct sequence code division multiple-access, error-correction-only decoding, errors-and-erasures decoding, noncoherent $M$-ary orthogonal signaling, ratio threshold test, Reed–Solomon codes.

PDF Lie-Liang-18sac11-lyang.pdf - Other

Published date: November 2000
Organisations: Southampton Wireless Group

## Identifiers

Local EPrints ID: 258409
URI: http://eprints.soton.ac.uk/id/eprint/258409
PURE UUID: 5756dca6-0821-40b4-8fe4-afbd0b5148cc
ORCID for L-L. Yang: orcid.org/0000-0002-2032-9327
ORCID for L. Hanzo: orcid.org/0000-0002-2636-5214

## Catalogue record

Date deposited: 28 Oct 2003

## Contributors

Author: L-L. Yang
Author: K. Yen
Author: L. Hanzo