Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: UWB system based on energy detection of derivatives of the Gaussian pulse | Cui and Xiong EURASIP Journal on Wireless Communications and Networking 2011 2011 206 EURASIP Journal on . http content 2011 1 206 Wireless Communications and Networking a SpringerOpen Journal RESEARCH Open Access UWB system based on energy detection of derivatives of the Gaussian pulse Song Cui and Fuqin Xiong Abstract A new method for energy detection ultra-wideband systems is proposed. The transmitter of this method uses two pulses that are different-order derivatives of the Gaussian pulse to transmit bit 0 or 1. These pulses are appropriately chosen to separate their spectra in the frequency domain. The receiver is composed of two energydetection branches. Each branch has a filter which captures the signal energy of either bit 0 or 1. The outputs of the two branches are subtracted from each other to generate the decision statistic. The value of this decision statistic is compared to the threshold to determine the transmitted bit. This new method has the same bit error rate BER performance as energy detection-based pulse position modulation PPM in additive white Gaussian noise channels. In multipath channels its performance surpasses PPM and it also exhibits better BER performance in the presence of synchronization errors. Keywords ultra-wideband UWB energy detection cross-modulation interference synchronization error 1 Introduction Ultra-wideband UWB impulse radio IR technology has become a popular research topic in wireless communications in recent years. It is a potential candidate for short-range low-power wireless applications 1 . UWB systems convey information by transmitting subnanosecond pulses with a very low duty-cycle. These extremely short pulses produce fine time-resolution UWB signals in multipath channels and this makes Rake receivers good candidates for UWB receivers. However the implementation of Rake receivers is very challenging in UWB systems because Rake receivers need a large number of fingers to capture significant