UWB signal bandwidth expansion and synthesis using prolate and wavelet functions

Abstract

This paper discusses how to generate UWB signals and extend their bandwidths using Prolate Spheroidal and wavelet functions. It also compares the achievable bandwidths. Bandwidth synthesis and expansion in the frequency domain is proposed based on convolution, superposition, modulation and multiplication. It is shown that convolution and addition of signal spectra can be used to expand UWB bandwidth with some functions by orders of more than 4.5 times. Daubechies wavelets are used in this paper.