Transmit reference impulse radio systems using weighted correlation

We propose a generalization of the transmit reference (TR) communication scheme by employing a weighted correlation stage at the demodulator. A statistical characterization and a method to evaluate the bit error probability (BEP) of the generalized TR systems is presented, in the presence of multipath, inter/intrasymbol interference and multiuser interference, for any type of front-end filter and weighting function. Two criteria are considered to shape the weighting function: the linear minimum mean square error (LMMSE) criterion and the maximum ratio combining (MRC) criterion. For both criteria, the BEP is presented for a single user AWGN channel.