Bit Error Rate Performance of DFT-S-OFDM Systems Under Alpha-Stable Noise

As a significant non-Gaussian distribution and impulsive noise model, alpha-stable distribution has been widely used in signal processing, since its probability density function (PDF) has heavy tails which corresponds with the impulsive noise samples in the time domain. In this letter, the geometric power of the symmetric alpha-stable (S<inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\alpha $ </tex-math></inline-formula>S) noise passing through the Discrete Fourier Transform-Spread-Orthogonal Frequency Division Multiplexing (DFT-S-OFDM) systems on Rayleigh fading channles is derived and the bit error rate (BER) of the DFT-S-OFDM systems on Rayleigh fading channels with S<inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\alpha $ </tex-math></inline-formula>S noise is further derived. Based on a proposed selection criterion, two approximation models of BER are jointly applied for computational efficiency. Simulation results demonstrate that the derived theoretical and approximate BERs both agree well with the simulated BER curves under various system parameters and impulsive noise conditions.