Experimental evidence of application of direct and inverse operators in complex processes

Authors:
S. V. Ivanov
Affiliations:
St. Petersburg State Electrotechnical University LETI, St. Petersburg, Russia 197382
Venue:
Pattern Recognition and Image Analysis
Year:
2008

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Abstract

In this survey we illustrate basic procedures and methods for application of direct and inverse operators on a composite function and for determination of periodicities. We obtain a simplified regularization of the FFT (fast Fourier transform) on a complex process. For that matter, we have introduced a direct (A) and an inverse (A 驴1) operator in the FFT and in some other complex processes, where a one-dimensional array serves as an operator. We give some correct theoretical and experimental justification of these operators and discuss a program which uses similar algorithms. We provide experimental results of a complex function after application of direct and inverse operators.