Minimal sensor density for small-scale primary detection in cognitive radio networks

Cognitive radio network exploits spectrum hole generated by vacation of primary user on the frequency. However, network design paradigms of primary and secondary can be different except for frequency bandwidth in which they are operating. One of differences is network scale which is stemming from transmission power gap between primary and secondary. Especially, small scale primary user such as microphone in IEEE 80.22 is troublesome primary for secondary users because of detection difficulty. Additionally, it has to be guaranteed to deploy sensors densely enough to detect small-scale primary with given detection quality such as false alarm and miss detection probabilities. However, the density level has not yet been addressed well. In this paper, we suggest an analysis framework to identify minimal density of sensor deployment for detection of small-scale primary with given detection requirement. In addition, we show the relation between minimal density and primary parameters like transmission power and false alarm, miss detection probabilities by numerical result.