Statistical analysis of linear spatial holes estimators in cognitive radio

One of key features of cognitive radio (CR) networks is environment awareness which is having knowledge of such parameters as spatial holes. This information is employed to exploit the spatial resources more efficiently and limit the interference to the primary users to an admissible level. In order to evaluate the performance of a spatial holes estimation algorithm, statistical characteristics of its estimation error must be compared to a benchmark such as Cramer-Rao lower bound (CRLB). In this article, the performance of cognitive RSS-WLS algorithm which is an important linear spatial hole estimation algorithm in CR systems has been analyzed by obtaining the closed form expression for mean and covariance of its estimation. Then its performance is compared with CRLB and it is shown that cognitive RSS-WLS estimator is asymptotically efficient.

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