Statistically robust precoder design over correlated Rician MIMO channels

• Published in: Signal processing Vol. 102; pp. 177 - 187
• Main Authors: Luo, Zhen, Zhang, Lin, Leung, Shu-hung, Yu, Xiang-bin
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 01.09.2014; Elsevier
• Subjects: Applied sciences; Coding, codes; Detection, estimation, filtering, equalization, prediction; Exact sciences and technology; Information, signal and communications theory; MIMO; Precoder; Signal and communications theory; Signal, noise; Space–time block code; Statistical CSI; Telecommunications and information theory; MIMO; Space–time block code; Statistical CSI; Precoder; Block code; Space-time codes; Parameter estimation; Error probability; Transmitter; Feedback regulation; Eigenvalue; Rice fading; Updating; Power allocation; Convergence speed; Optimal allocation; Coding; Channel estimation; Convergence rate; Pretreatment; Fading channels; MIMO system; Unitary matrix; Optimal algorithm; Coding circuit; Statistical method; Signal processing; Space-time block code
• ISSN: 0165-1684; 1872-7557
• DOI: 10.1016/j.sigpro.2014.03.025

In this paper, a statistically robust precoding scheme for multiple-input multiple-output systems with orthogonal space–time block code over double correlated Rician fading channels of Kronecker correlation structure is presented. We consider only statistical channel state information (CSI) known at the transmitter for the sake of saving feedback overhead. We adopt eigenrepresentation to express the precoder design in terms of unitary matrix and eigenvalues to minimize pairwise error probability (PEP) subject to an average power constraint for the purpose of reducing computation and fast convergence. A closed-form formulation of the PEP bound in terms of eigenvalue decomposition is derived. By introducing new variables for expressing the power constraint, an optimal power allocation algorithm for given unitary matrix and an optimal unitary matrix update procedure are developed. Based on asymptotic analysis, a near-optimal unitary matrix is derived. With this unitary matrix, the precoder design can be reduced to power allocation that can provide near optimal performance. Using the unitary matrix as initialization, the proposed algorithm can reach the optimal solution in a few iterations. Numerical results show that the proposed optimal scheme provides performance better than existing methods and has low computational complexity and fast convergence in comparison with the fixed-point method. •We formulate the PEP criterion in terms of the unitary matrix and power control.•We define new power control variables to simplify the formulation.•We derive efficient algorithm to solve the precoder.•We provide asymptotic PEP analyses for different variables.