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http://dx.doi.org/10.4218/etrij.2017-0286

Simplified approach for symbol error rate analysis of SC-FDMA scheme over Rayleigh fading channel  

Trivedi, Vinay Kumar (Department of Electrical Engineering, Indian Institute of Technology)
Sinha, Madhusudan Kumar (Department of Electrical Engineering, Indian Institute of Technology)
Kumar, Preetam (Department of Electrical Engineering, Indian Institute of Technology)
Publication Information
ETRI Journal / v.40, no.4, 2018 , pp. 537-545 More about this Journal
Abstract
In this paper, we present a comprehensive analytical study of the symbol error rate (SER) of single-carrier frequency-division multiple access (SC-FDMA) with zero-forcing frequency domain equalization (ZF-FDE) over a Rayleigh fading channel. SC-FDMA is considered as a potential waveform candidate for fifth-generation (5G) radio access networks (RANs). First, the $N_C$ fold convolution of the noise distribution of an orthogonal frequency-division multiplexing (OFDM) system is computed for each value of the signal-to-noise ratio (SNR) in order to determine the noise distribution of the SC-FDMA system. $N_C$ is the number of subcarriers assigned to a user or the size of the discrete Fourier transform (DFT) precoding. Here, we present a simple alternative method of calculating the SER by simplifying the $N_C$ fold convolution using time and amplitude scaling properties. The effects of the $N_C$ fold convolution and SNR over the computation of the SER of the SC-FDMA system has been separated out. As a result, the proposed approach only requires the computation of the $N_C$ fold convolution once, and it is used for different values of SNR to calculate the SER of SC-FDMA systems.
Keywords
BER; noise characterization; OFDMA; Rayleigh; SC-FDMA; SER; zero-forcing;
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