Analytical Envelope Correlation and Spectrum of Maximal-Ratio Combined Fading Signals

On the autocorrelation function of Rice processes for unsymmetrical doppler power spectral densities

“…Another related work in [4] deals with the ACF and the covariance spectrum anal ysis of Rayleigh fading channels under isotropic scattering, implying that the Doppler power spectral density (DPSD) has a symmetrical shape. Similar studies could be found in [5], where the authors obtained the exact analytical expression for the envelope ACF of Rayleigh, Rice and Nakagami fading channels by using the theory of multidimensional Gaussian distribution. In [5], also approximations to the envelope power spectrum are presented for Rayleigh and Nakagami fading channels.…”

“…Similar studies could be found in [5], where the authors obtained the exact analytical expression for the envelope ACF of Rayleigh, Rice and Nakagami fading channels by using the theory of multidimensional Gaussian distribution. In [5], also approximations to the envelope power spectrum are presented for Rayleigh and Nakagami fading channels. Some results dealing with the correlation properties of the envelope with unsymmetrical DPSD (non-isotropic scattering) have been discussed in [6].…”

“…For this case, we can come to the well-known closed-form solution [11] where F(·, ·;·;·) is the hypergeometric function. We should mention that, although, the formula for the ACF we could obtain is not in closed form, it has a lower numerical com putation complexity in comparison with the one reported in [5].…”

“…In this respect, the knowledge of the correlation properties and power spectrum of Rice and Rayleigh processes is of crucial interest. Several approaches have been proposed for the derivation of the envelope ACF [3]- [5]. In [3], the author described the properties of the envelope correlation functions and presented comparisons of the envelope and complex ACFs for both Rayleigh and Rice fading channels.…”

Performance Analysis for Maximal Ratio Combining of Correlated Rician Multi-Path Fading Signals with Noise

“…And [10] extends the previous work to the power correlation coefficient in a general fading channel. In addition, some closed-form expressions were provided by Mathiopoulos [11] for the envelope auto-correlation of MRC signals ignoring the noise in correlated Nakagami fading environments. Recently, [12] presents closed-form ECC expressions using MRC with noise in correlated Rician fading channels and find a relation between the ECC and system performance in the identical statistical characteristic environment.…”