Design of Wavelet-Based Differentiator Filter

Abstract

Differentiators are used in many analog and digital systems
to take the derivative of a signal. The signal is affected by the presence
of the machine epsilon of the computer which may be considered to be
an extremely high frequency noise of very small amplitude.
Perturbation is also caused by the presence of noise in the signal. It is
the purpose of this work to construct a wavelet based band-pass filter
that removes the noise and computes the derivative of the signal.