Performance of Generalized $\alpha-\mu$ Fading for Energy Detection Based Spectrum Sensing in Presence of Channel Errors

This current research, the performance of a general-ized
$a$
- µ fading for the energy detection based spectrum sensing (ED-SS) in existence of channel errors is studied. Accurately, cognitive radio (CR) senses a primary user (PU), receives the sensing information, then it takes a binary-decision about active or inactive status of PU with the help of energy detector. So as to achieve, first the expression for novel-analytic is derived for probability of detection which is concerned to noise also for
$\alpha-\mu$
fading. Next, based on the derived expression the frame works which are analytic to evaluate the total error rate (TER) and the complementary receiver operating charac-teristics (CROC) performances of a CR for all the parameters of channel and network are elaborated. Additionally, the ED-SS performance for various parameters namely as probability of channel error, detection threshold and signal-to- noise ratio (SNR) is investigated. Optimal detection threshold for several channel and network parameters are also determined. Finally, the numerical analysis of ED-SS without channel errors is also presented for comparison purpose. Analytical results are achieved using MATLAB numerical simulation.