Design of Complex Wavelet Pulses Enabling PSK Modulation for UWB Impulse Radio Communications

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In this paper, we present the design of complex Ultra-wideband (UWB) pulses which enables the phase-shift keying (PSK) modulation for UWB Impulse Radio (IR) Communications. Two classes of complex UWB pulses are proposed based on complex Gaussian wavelets and complex rational orthogonal wavelets respectively. Formulas in closed form are derived for a full control of the time and frequency properties of the designed UWB pulses. The system characterisation of the complex UWB pulse-based PSK modulation and demodulation is presented.A novel PSK demodulator based on complex wavelet signalling is adopted for its unique robustness against timing jitter. Besides the inherent advantages of PSK modulation which lead to high power efficiency and high data rate, the proposed PSK scheme in the UWB communication context provides a more flexible way to construct new UWB modulation schemes by combining PSK with other basic modulation options such as the pulse amplitude modulation (PAM) and the pulse position modulation (PPM). In addition, based on the derived formulas, the proposed UWB pulse design method also provides a solution to the construction of multiband UWB systems.
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