Error Probability of Multichannel Reception with \theta-QAM Scheme Under Correlated Nakagami-m Fading

W.J.L Queiroz,M.S Alencar,W.T.A Lopes,F Madeiro

doi:10.14209/jcis.2014.2

W.J.L Queiroz, M.S Alencar + Show 2 more

Open Access

https://doi.org/10.14209/jcis.2014.2

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Abstract

In this paper, an unifyied analysis is proposed for the compact receiver with spatial diversity. A maximum ratio combining receiver for linear antenna arrays is considered with the modulation scheme theta-QAM. The mathematical development takes into account parameters related to the physical structure of the array as well as the probability distribution used for modeling the direction of arrival (DoA) of the signals in the array. Von Mises and Gaussian distributions are considered for characterizing the DoA. The unification of all those results in exact expressions for evaluating the symbol error probability (SEP) in the output of a MRC receiver is the main contribution of the work.

Highlights

I N most diversity techniques detection errors may occur at the receiver when the transmission medium imposes a severe attenuation on the transmitted signals
It is worth mentioning that an important aspect of the Von Mises distribution is the fact that it models anisotropic propagation processes in a better way, as compared to the uniform distribution, and leads to mathematical expressions for the spatial correlation coefficients that are simpler than the ones obtained with Gaussian and cosine distributions [17]
In this article the symbol error probability (SEP) of the θQAM scheme under correlated Nakagami fading is evaluated using Von Mises and Gaussian distributions to model the direction of arrival (DoA) of the electromagnetic waves for antenna arrays

Summary

INTRODUCTION

I N most diversity techniques detection errors may occur at the receiver when the transmission medium imposes a severe attenuation on the transmitted signals. There are many techniques that provide the receiver with different copies of the transmitted signal, which include frequency diversity [1], in which the information signal modulates a number of carriers with different frequencies separated by a bandwidth that is greater than or equal to the coherence bandwidth of the wireless channel Another diversity scheme is spatial diversity, in which multiple antennas are used for transmission and reception of the signal. Depending on the transmission frequency and the size of the receiver structure, it may not be possible to guarantee independent fading between the samples captured by the elements of the antenna array For those compact receivers the diversity gain is affected by the correlation between the signals captured by the different elements of the array. It is worth mentioning that an important aspect of the Von Mises distribution is the fact that it models anisotropic propagation processes in a better way, as compared to the uniform distribution, and leads to mathematical expressions for the spatial correlation coefficients that are simpler than the ones obtained with Gaussian and cosine distributions [17]

CHARACTERIZATION OF THE PROBLEM

Symbol Error Probability of a θ-QAM Scheme under Correlated Nakagami-m fading

DETERMINATION OF THE COEFFICIENTS OF THE SPATIAL CORRELATION MATRIX

EVALUATION OF THE IMPACT OF THE ELECTROMAGNETIC COUPLING

RESULTS

CONCLUSION