Characteristics of $p$ -Norm Signal Detection in Gaussian Mixture Noise
Владимир Иванович Костылев, I. P. Gres’ · IEEE Transactions on Vehicular Technology · 2017
Performance of the p-norm detector has been analyzed recently in additive white Gaussian noise and several analytical solutions were obtained. We have developed these solutions for the case of non-Gaussian noise. Expressions for the false alarm probability PF and the detection probability PDwere found in series-form for an arbitrary index of power p using an analysis based on the moment generating function. Series-form expressions for the average detection probability P̅Din the non-Gaussian environment for Nakagami-m, k-μ, and η-μ fading channels were derived as well. Recently proposed p-law selection and p-law combining schemes for antenna diversity reception were analyzed. The detection characteristics of a p-norm detector were compared with a traditional energy detector and with an optimal detector. All analytical results were verified with a statistic simulation.