Spatially correlated MIMO channel-generation via virtual channel representation

This paper presents a new spatially correlated Rayleigh fading channel generation technique for multiple-input-multiple-output (MIMO) systems via recently proposed virtual channel representation (VCR). In contrast to the traditional production correlated channel generation, the new VCR approach generates correlated channel via two dimensional discrete Fourier transform (DFT). This work extends the theoretical correlation coefficient results from single-input-multiple-output (SIMO) to MIMO channels. In addition, theoretically we show that the currently used production method is a special case of the new VCR technique, since the former considers only local scatterers, but the latter considers non-local scatterers as well. Hence, this work leads to the conclusion that VCR is a more general channel model compared with 2-D production-form.