Unified asymptotic analysis of linearly modulated signals in fading, non-Gaussian noise, and interference

Nasri A, Schober R, Ma Y (2008)

Publication Type: Journal article

Publication year: 2008

Journal

IEEE Transactions on Communications Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 56

Pages Range: 980-990

Journal Issue: 6

DOI: 10.1109/TCOMM.2008.060267

Abstract

In this paper, we present a unified asymptotic symbol error rate (SER) analysis of linearly modulated signals impaired by fading and (possibly) non Gaussian noise, which in our definition also includes interference. The derived asymptotic closed form results are valid for a large class of fading and noise processes. Our analysis also encompasses diversity reception with equal gain and selection combining and is extended to binary orthogonal modulation. We show that for high signal to noise ratios (SNRs) the SER of linearly modulated signals depends on the Mellin transform of the probability density function (pdf) of the noise. Since the Mellin transform can be readily obtained for all commonly encountered noise pdfs, the provided SER expressions are easy and fast to evaluate. Furthermore, we show that the diversity gain only depends on the fading statistic and the number of diversity branches, whereas the combining gain depends on the modulation format, the type of fading, the number of diversity branches, and the type of noise. An exception are systems with a diversity gain of one, since their combining gain and asymptotic SER are independent of the type of noise. However, in general, in a log log scale for high SNR the SER curves for different types of noise are parallel but not identical and their relative shift depends on the Mellin transforms of the noise pdfs. © 2008 IEEE.

Authors with CRIS profile

Robert Schober

Involved external institutions

University of British Columbia CA Canada (CA) Iowa State University of Science and Technology (ISU) US United States (USA) (US)

How to cite

APA:

Nasri, A., Schober, R., & Ma, Y. (2008). Unified asymptotic analysis of linearly modulated signals in fading, non-Gaussian noise, and interference. IEEE Transactions on Communications, 56(6), 980-990. https://doi.org/10.1109/TCOMM.2008.060267

MLA:

Nasri, Amir, Robert Schober, and Yao Ma. "Unified asymptotic analysis of linearly modulated signals in fading, non-Gaussian noise, and interference." IEEE Transactions on Communications 56.6 (2008): 980-990.

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