The design of sum-of-sinusoids channel simulators using the iterative nonlinear least square approximation method

In this paper, we introduce an iterative nonlinear least square approximation (INLSA) as an effective method for the design of sum-of-sinusoids (SOS) channel simulators. The proposed method determines the parameters of the simulation model iteratively by minimizing the Euclidean norm, which serves as a metric for measuring the fitting error. We compare the performance of the INLSA method with that of the method of exact Doppler spread (MEDS) and the L_p-norm method (LPNM). The performance comparisons will be carried out in terms of the goodness of fit to the autocorrelation functions (ACFs) corresponding to the Jakes and the Gaussian power spectral densities (PSDs). The obtained results indicate that the INLSA method is very precise in both cases. The results also show that the proposed method is better suited than the MEDS and the LPNM method to emulate the desired statistical properties of Gaussian shaped PSDs. Owing to its simplicity and excellent performance, the INLSA method is a powerful tool for designing channel simulation platforms required for the performance analysis of mobile communication systems.