A Comparative Study for RNS Coding Scheme Performance in OFDM and SC-FDMA Systems

The Residue Number System (RNS) used within Orthogonal Frequency Division Multiplex (OFDM) systems as a pre-coding stage to overcome the foreseen OFDM drawbacks including the high signal Peak-to-Average-Power-Ratio (PAPR), and the Inter-Carrier-Interference (ICI) noise. The RNS-OFDM system performance is compared to the Single-Carrier Frequency Division Multiple Access (SC-FDMA) communication system, where, in both techniques the signal PAPR is decreased through reducing the signal amplitude and the ICI noise is reduced through the need of less number of sub-carrier representations in the communication system. Consequently, the overall signal distortion and the Bit Error Rate (BER) is reduced and thus the received Signal-to-Noise Ratio (SNR) shall be improved. The paper analyzes and evaluates the RNS-OFDM and the SC-FDMA systems, through measuring the BER, PARR, and Carrier-Interference-Ratio (CIR) for both systems. Furthermore, the RNS coding is added to the SC-FDMA technique and the system performance is further evaluated.