Waveform design for UWB communication based on combined wavelet pulse

The Federal Communications Commission (FCC) has established a strict standard for Ultra wide-band (UWB) communication, which is critical for UWB pulse shape design. In this paper, a novel iterative combined pulse algorithm is proposed. Wavelet pulses with the diverse translation factors and diverse spectral moving factors act as basis functions. The principle of linear minimum mean square error (LMMSE) is introduced in order to get the weighting factors of the basis functions .The comparison of spectrum efficiency and bit error rate (BER) performance of combined wavelet waveform and the other two waveforms, single wavelet pulse and combination of Gaussian derivative pulse, in time-hopping pulse position modulation (TH-PPM) system is presented. The simulation results show that the newly proposed waveform not only has an extremely short duration and optimum spectrum efficiency, but also has a BER performance as good as the other two waveforms. Also, based on the alterability of wavelet basis functions, this algorithm provides a flexible and effective method for designing suitable pulses for UWB communication applications.