It is the possibility of incorrectly recognizing the principal signal while the primary user is silent in the scanned frequency range. More information may be found in Hybrid Cooperative Energy Detection Techniques in Cognitive Radio Networks.
The FAR is the number of false alarms per second at a specific voltage threshold level. Pfa = FAR (2R)/c is then used to compute the likelihood of a false alarm as a function of range.
The detection probability (p) calculated from survey data was used to compute the proportion of rails discovered over a certain number of counts using the formula (1 – [1 – p]ns) 100%.
Due to noise and channel fading, there is a chance that the secondary user will miss the presence of the primary user.
No pd=1-Pm where pm is missed detection .not probability of false alarm. However, when we plot the detection probability we plot it against the probability of false alarm or no of sample frequences.