Detection of Antipodal Signals Under Skewed Alpha-Stable Noise

This study analyses performance of digital communication system having baseband binary phase shift keying modulation under asymmetric non-Gaussian noise. Correspondingly, the problem is characterised as antipodal signal detection where skewed stable distribution is used as asymmetric non-Gaussian noise exhibiting impulsive behaviour. The performance of the communication system is expressed as a function of error probability with respect to noise parameters. It is shown that the skewness of the channel noise results in degradation of error probability at low signal to noise ratio. Also, the effect of skewness is more apparent when the impulsiveness of the noise increased. As the contribution, any receiver design to compensate the asymmetric behaviour of the channel noise can be used to enhance the detection accuracy since the error performance gets worse while departing from symmetric behaviour of the noise under the same impulsiveness. Additionally, the detection performance is analysed by receiver operating characteristic under the skewed stable noise environment. According to findings, probability of detection can be tuned and locally increased with respect to the false alarm probability depending on the sign of the skewness