On Optimum Asymptotic Multiuser Efficiency of Randomly Spread CDMA

Sedaghat MA, Müller R, Marvasti F (2015)

Publication Status: Published

Publication Type: Journal article

Publication year: 2015

Journal

IEEE Transactions on Information Theory Institute of Electrical and Electronics Engineers (IEEE)

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 61

Pages Range: 6635-6642

Journal Issue: 12

DOI: 10.1109/TIT.2015.2482483

Abstract

We extend the result by Tse and Verdu on the optimum asymptotic multiuser efficiency of randomly spread code division multiple access (CDMA) with binary phase shift keying input. Random Gaussian and random binary antipodal spreading are considered. We obtain the optimum asymptotic multiuser efficiency of a K-user system with spreading gain N when K and N -> infinity and the loading factor, (K/N), grows logarithmically with K under some conditions. It is shown that the optimum detector in a Gaussian randomly spread CDMA system has a performance close to the single user system at high signal-to-noise ratio when K and N. 8 and the loading factor, (K/N), is kept less than (log(3) K/2). Random binary antipodal matrices are also studied and a lower bound for the optimum asymptotic multiuser efficiency is obtained. Furthermore, we investigate the connection between detecting matrices in the coin weighing problem and optimum asymptotic multiuser efficiency. We obtain a condition such that for any binary input, an N x K random matrix, whose entries are chosen randomly from a finite set, is a detecting matrix as K and N -> infinity.

Authors with CRIS profile

Ralf Müller Professur für Informationsübertragung

Involved external institutions

NTNU Trondheim - Norwegian University of Science and Technology NO Norway (NO) Sharif University of Technology / دانشگاه صنعتی شریف (SUT) IR Iran, Islamic Republic of (IR)

How to cite

APA:

Sedaghat, M.A., Müller, R., & Marvasti, F. (2015). On Optimum Asymptotic Multiuser Efficiency of Randomly Spread CDMA. IEEE Transactions on Information Theory, 61(12), 6635-6642. https://doi.org/10.1109/TIT.2015.2482483

MLA:

Sedaghat, Mohammad A., Ralf Müller, and Farokh Marvasti. "On Optimum Asymptotic Multiuser Efficiency of Randomly Spread CDMA." IEEE Transactions on Information Theory 61.12 (2015): 6635-6642.

BibTeX: Download