Abstract:
This paper describes, simulates, evaluates
and compares four time and band limited
functions that can be used to create ultra
wideband signals. Expressions and
methods for generating the functions are
presented followed with simulations using
uniform sets of parameters. It is shown at
the -10bB points the Hermite, prolate
spheroidal wave function (PSWF) and
wavelets have suitable UWB properties.
Using the Daubechies wavelets as
examples, we demonstrate that both the
scaling and wavelet functions provide
suitable UWB bandwidths. Their -10 dB
bands are 1.9739 GHz and 3.4644 GHz
respectively. The -10 dB bandwidth of the
Daubechies wavelet of order 1 is about
0.61 compared to the Hermite function of
the same order, but higher than what can
be achieved with PSWF.
