Performance analysis with antenna array in correlated Nakagami fading channels

The topics considered in this work involve error probability analysis of antenna array receiver in correlated Nakagami fading channels.; This dissertation begins with an overview of the fundamentals of antenna array systems. Analytical expressions of the spatial correlation coefficients are obtained in terms of the antenna elements spacing, mean angle-of-arrival and angular spread. For compact arrays, mutual coupling effect is also taken into account in deriving spatial correlation coefficients. An efficient simulation model to generate correlated Nakagami channel gains is presented.; The closed form expressions for the average bit error rate (BER) of a compact space diversity receiver for the reception of binary coherent and noncoherent modulation signal are derived as a function of the covariance matrix of the Gaussian component signals. The impact of antenna array configuration and the operating environment on the BER performance are illustrated.; In case of wideband DS-CDMA system, the 2D-RAKE receiver at Base Station (BS) is employed to exploit both path diversity and spatial diversity. The error performance is analyzed over a generalized frequency selective channel in which the resolvable paths may not have identical Nakagami fading parameters. The difficulty in integrating Gaussian Q-function over the distribution of path signal-to-noise-plus-interference-ratio is bypassed using the characteristic function approach and the alternative representation of Gaussian Q-function. This approach leads to simple BER expression, which involves a single finite-limit integral whose integrand contains only elementary functions and which can therefore be easily and accurately computed numerically. The performance improvement is demonstrated under various channel conditions.; This formulation is then extended to multiple-input-multiple-output (MIMO) systems. The closed form BER expression of a 2D-RAKE receiver on Mobile Station (MS), in combination with transmit diversity on BS, is obtained. The exact pairwise error probability of a convolutional coded MIMO system is derived, and the tradeoff investigation between the space diversity gain, path diversity and coding gain is presented.