Detection of single carrier transmission in frequency selective fading channels with symmetric alpha-stable noise

In this paper, we investigate the detection of single-carrier transmission over frequency selective fading channels with symmetric alpha-stable (SαS) noise. To mitigate the effects of the inter-symbol interference (ISI) cased by multi-path propagation and the destructive impulsive noise, a non-linear myriad filter is firstly adopted and an asymptotic statistic method is then introduced for to analyze the output behavior of the myriad filter. It is found that the output noise of myriad filter in our system is asymptotically normal. Based on this observation, the classic low-complexity minimum mean square error (MMSE) based turbo equalizer (TEQ) is invoked. Substantial performance improvements over the conventional scheme designed for Gaussian channels are observed.