Optimization criteria for linear precoding in flat fading TDD-MIMO downlink channels with matched filter receivers

We propose a time division duplex multiple-input multiple-output (TDD-MIMO) system with receiver matched to the transmit filter and channel, leading to a linear transmission system which diagonalizes the MIMO channel into its eigenspace, similar to joint transmit and receive filter optimization (joint Tx/Rx optimization), but without the need to perform the optimization at both sides of the link or to use feedback. We investigate different optimization criteria well known from linear precoder design and joint Tx/Rx optimization: transmit matched filter (TxMF); transmit zero-forcing filter (TxZF); transmit Wiener filter (TxWF).