Spatial-temporal mode transmission based upon the QR decomposition of a polynomial channel matrix with uncertainties

This paper presents an entirely time domain approach for communicating over frequency selective multiple-input multiple-output (MIMO) channels. The proposed system applies a paraunitary matrix to the received signals, which is specifically designed to transform the effective polynomial channel matrix for the system into an upper triangular polynomial matrix. This then enables the MIMO channel equalisation problem to be transformed into a set of single-input single-output (SISO) equalisation problems, by exploiting the upper triangular structure of the transformed channel matrix, which can then be individually solved using Turbo equalisation. In particular, this paper investigates how the system performs when there is error present in the channel matrix state information and discusses the possible errors that are encountered when formulating the QR decomposition (QRD) of a polynomial matrix.