Hari, V S; Dr. Jagathy Raj, V P; Dr.Gopikakumari, R(Cochin University of Science And Technology, June , 2013)
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Abstract:
The basic concepts of digital signal processing are taught to the students
in engineering and science. The focus of the course is on linear,
time invariant systems. The question as to what happens when the
system is governed by a quadratic or cubic equation remains unanswered
in the vast majority of literature on signal processing. Light has
been shed on this problem when John V Mathews and Giovanni L Sicuranza
published the book Polynomial Signal Processing. This book
opened up an unseen vista of polynomial systems for signal and image
processing. The book presented the theory and implementations
of both adaptive and non-adaptive FIR and IIR quadratic systems
which offer improved performance than conventional linear systems.
The theory of quadratic systems presents a pristine and virgin area of
research that offers computationally intensive work. Once the area of
research is selected, the next issue is the choice of the software tool to
carry out the work. Conventional languages like C and C++ are easily
eliminated as they are not interpreted and lack good quality plotting
libraries. MATLAB is proved to be very slow and so do SCILAB and
Octave. The search for a language for scientific computing that was
as fast as C, but with a good quality plotting library, ended up in
Python, a distant relative of LISP. It proved to be ideal for scientific
computing. An account of the use of Python, its scientific computing
package scipy and the plotting library pylab is given in the appendix Initially, work is focused on designing predictors that exploit the polynomial
nonlinearities inherent in speech generation mechanisms. Soon,
the work got diverted into medical image processing which offered
more potential to exploit by the use of quadratic methods. The major
focus in this area is on quadratic edge detection methods for retinal
images and fingerprints as well as de-noising raw MRI signals
Description:
School of Engineering
Cochin University of Science and Technology