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The existing spectrum sensing schemes based on free probability theory (FPT) have a high sensing performance especially in cases of low signal to noise ratio (SNR) and a small number of samples. However they all based on data fusion rule when performing cooperative spectrum sensing. The secondary users (SUs), in this case, have to transmit large amounts of sensing data to a fusion center (FC). It...
Free probability theory as a main branch of random matrix theory is a valuable tool for describing the asymptotic behavior of multiple systems, especially for those with large random matrices. But classical freeness results mainly focus on random matrices with independent and identically distributed (i.i.d.) entries. In this paper, by using the latest research results of random Vandermonde matrix...
We propose a non-data-aided adaptive beamforming algorithm based on Widely Linear (WL) processing techniques and the Auxiliary Vector Filtering (AVF) algorithm for non-circular signals, where only the steering vector of the desired user is known. The proposed Widely Linear Auxiliary Vector Filtering (WL-AVF) algorithm recursively updates the filter weights by a sequence of auxiliary vectors that are...
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