Abstract
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 $P_{F}$ and the detection probability $P_{D}$ were 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 $\overline {{P_D}} $ in the non-Gaussian environment for Nakagami- $m$ , $k- {\mu} $ , and $\eta - {\mu} $ 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.
Published Version
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