UDC 519.688
EXPERIENCE IN APPLYING MATHEMATICAL METHODS IN DIGITAL SIGNAL PROCESSING
A. I. Novikov, Dr. Sc. (Tech.), full professor, RSREU, Ryazan, Russia;
orcid.org/0000-0002-8166-8234, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.
The application of mathematical methods in solving digital image processing problems and certain is sues of processing one-dimensional digital signals are considered. It is impossible to review the entire range of mathematical methods used in digital signal processing in one article. Moreover, the author considers it appropriate to talk only about those methods that were developed and applied by him and his students in works performed mainly on an initiative basis. Therefore, only four groups of methods are considered. The aim of the work is to introduce novice researchers to the possibilities provided by mathematical methods to solve both applied problems and fundamental problems in digital signal processing.
Key words: : mathematical methods, linear and nonlinear operators, affine and projective transfor mations, interpretation of indirect measurements, complex contour analysis.