Multiple shift SBR2 algorithm for calculating the SVD of broadband optical MIMO systems

Polynomial matrix singular value decomposition (PSVD) plays a very important role in broadband multiple-input multiple-output (MIMO) systems. It can be used to decompose a broadband MIMO channel matrix in order to recover the transmitted signals corrupted by the channel interference (CI) at the receiver. In this paper, a novel algorithm, known as multiple shift second order sequential best rotation (MS-SBR2), is proposed to compute the approximate PSVD. Simulations are implemented under a (2 × 2) optical MIMO channel model. Bit error rate (BER) performances are evaluated among different transmission schemes. In addition, power allocation (PA) scheme is investigated to further optimize the BER performance.