A study of partial precoders and the effect of measurement noise on UWB time-reverse communication system performance

A difficulty in the implementation of time-reverse precoders in UWB communication systems is that the channel impulse response is usually quite long and as a result, the computational complexity required in its implementation is quite high. Also the determination of all the impulse response coefficients is time consuming. Therefore ways to reduce the number of coefficients without sacrificing the performance are of interest. In this paper, two methods of reducing the number of coefficients are presented. In the first method, the first N samples of the impulse response are applied in the prefilter construction. In the second method, N largest impulse response samples are used in the precoder construction. The performance of these partial precoders is studied and the number N needed to yield an acceptable performance in terms of bit error rate for various signal to noise ratios is determined.