Structured Parallel Architecture for Displacement MIMO Kalman Equalizer in CDMA Systems

A reduced complexity MIMO Kalman equalizer architecture is proposed in this brief by jointly considering the displacement structure and the block-Toeplitz structure. Numerical matrix–matrix multiplications with ${\cal O}(F^{3})$ complexity are eliminated by simple data loading process, where $F$ is the spreading factor. Finally, an iterative Conjugate-Gradient based algorithm is proposed to avoid the inverse of the Hermitian symmetric innovation covariance matrix in Kalman gain processor. The proposed architecture not only reduces the numerical complexity from ${\cal O}(F^{2})$ to ${\cal O}(F\log_{2}F)$ per chip, but also facilitates the parallel and pipelined VLSI implementation in real-time processing.