Energy Detection of Unknown Signals Over Cascaded Fading Channels


Energy detection is a favorable mechanism in several applications relating to the identification of deterministic unknown signals like in radar systems and cognitive radio Communications. The present work quantifies the detrimental effects of cascaded multipath fading on energy detection and investigates the corresponding performance capability. A completely unique analytic answer is first derived for a generic integral that involves a product of the Meijer G-operate, the Marcum Q-operate, and arbitrary power terms. This solution is subsequently used in the derivation of an exact closed-type expression for the common probability of detection of unknown signals over N*Rayleigh channels. The offered results are extended to the case of square-law selection, which could be a relatively easy and effective diversity methodology. It is shown that the detection performance is significantly degraded by the quantity of cascaded channels which these effects can be effectively mitigated by a nonsubstantial increase of diversity branches.

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