Open AccessFast optical signal filtering by means of amplitude and phase operators
Author(s) -
D. G. Chkalova
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1679/2/022092
Subject(s) - signal (programming language) , multidimensional signal processing , algorithm , signal processing , transformation (genetics) , amplitude , phase (matter) , computer science , analytic signal , fourier transform , acceleration , discrete time signal , operator (biology) , filter (signal processing) , generalization , analog signal , digital signal processing , mathematics , signal transfer function , optics , computer vision , mathematical analysis , physics , repressor , chemistry , biochemistry , classical mechanics , quantum mechanics , transcription factor , programming language , computer hardware , gene
The article is devoted to a new numerical method of fast optical signal filtering. It is a unique mathematical apparatus of amplitude and phase operators, which has no analogues among the classical methods. The main advantages of the method for optical signal processing are computational simplicity, the versatility of the approach for solving various kinds of problems, and the availability of a geometric and physical interpretation of transformations. The amplitude and phase transformation algorithm, as well as its modifications, are presented in the article. It is shown that the method can be applied both to analog signals and to discrete measurements of a certain signal. The generalization of the operator to the two-dimensional case allows it to be applied to the processing of signals given on a rectangular grid. Proposed algorithm allows to achieve a significant acceleration during solving the problem of signal filtering compared with traditional fast Fourier transform.