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Presented is an efficient bandwidth determination model for the cognitive positioning system by utilising multiple receive antennas. The performance evaluations of the proposed multiple receive antenna positioning system were carried out using the linear least squares and maximum-likelihood location estimation techniques. Simulated results reveal that in a rural scenario, the 1×2 and 1×3 single-input-multiple-output (SIMO) cases display an average bandwidth efficiency with respect to positional accuracy, of 49 and 58×, respectively, over the single-input-single-output (SISO) case. For an urban scenario, the 1×2 and 1×3 SIMO cases display a higher average bandwidth efficiency of 53 and 62×, respectively, over the SISO case.