System Model. Fig. 3.1 shows a multi-cell multi-user spatial multiplex system with two large primary cells and a small cognitive cell located within the vicinity of the primary cells bor- der. Kp single antenna primary users, Ks single antenna secondary users within the cognitive cell, and a linear antenna array of N elements per sector at the secondary BS is considered. The assumption is used that each user is surrounded by Q random local-scatterers within the radius of 100 wavelengths [90] and there is no Line-of-sight (LoS) transmission from the secondary BS to all users. By demonstrating our algo- rithm without the LOS transmission, the algorithm’s performance will be shown in the worst case. Each user receives signals from Q local scatterers excited by the secondary BS. It is considered that each user and its local scatterers are at far-field distances from the secondary BS. Thus, wavefronts from the serving-array antenna of the secondary
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