Area of Plausible Region for a Cognitive Sensor in Terms of Transmission Powers

Cognitive Radio Sensor Networks (CRSN) are prevalent and vibrant solution for the under-utilized licensed radio spectrum. CRSN is a type of wireless sensor network with cognitive radio technology embedded in it. In a CRSN large number of cognitive sensors (CSs) may be deployed in a specific area to sense the primary user (PU) and if found vacant, use the sensed spectrum for its own transmission. Major challenges in deployment of CRSN are spectrum sensing and interference to PU network, which directly affects the plausible attributes of a CS in terms of allowable transmission area and transmitting powers. This paper covers the analytical analysis of determining the area of plausible region of a cognitive sensor in terms of transmission powers (in data and control channels) under the constraint of tolerable PU collision probability. Based on Lame curve analysis, comparison of allowable data rate for a given area of plausible region of a CS in CRSN has been carried out. Numerical investigations are presented to evaluate the plausible attributes of a CS with varying $n$ for a Lame Curve.