Method of Inverse Operator for the Recover Input Signal
There have been considered the methods of construction of the inverse operator for the restoration of signals in conditions of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals are considered. The simplest structure of the implementation block of the inverse operator is based on the adder, whose second inverse communication competitor includes the simulation model of the direct operator. A linear inertia-free unit with a set transmission factor is used as regularizer.
The inverse operator, based on the output signal of an object and its mathematical model, is able to restore the input signal of an object.
Depending on the method of construction of the inverse feedback, there are considered various methods of the inverse operator construction.
It is necessary to specify that the amplitudes of input and output signals should be agreed. Failure to meet this condition leads to the inverse operator accuracy loss. The regularization parameter should differ from the unit, and the accurate functioning of the structure may go beyond the stability limits. Physical dimension of variables differ, but the ranges of their changes in numbers should coincide.
When using a regularizer with a value above than one, the computational process may vary however there is a small amount of stability thanks to digitalization being used as a regularization parameter.
The algorithms for the implementation of the inverse operator may be used while improving the efficiency of the operation of energy-saturated equipment, improving the resolution of surveillance systems, improving the information exchange rate in communication lines, improving the information capacity of the information registration means, etc.
The effectiveness of the offered approaches is studied on model problems implemented in the Matlab/Simulink system. There have been made the computational experiments that demonstrated the efficiency of the method of inverse operators for the signals restoration in the presence of weak nonlinear dynamic and nonlinear static distortions in the registration devices and transmission of continuous signals in real-time mode.
Mathematical Methods for Signal and Image Analysis and Representation / eds. L. Florack, R. Duits, G. Jongbloed, M. C. van Lieshout, L. Davies. — New York : Springer London Dordrecht Heidelberg, 2012. — 316 p.
Ivanyuk V. A. The method of inverse operators for the restoration of signals at the input of linear dynamic systems, given by transfer functions / V. A. Ivanyuk, V. V. Ponedilok, O. A. Diachuk // Mathematical and computer simulation. Se-ries: Engineering sciences: collection of research papers / V. M. Hlushkov Insti-tute of Cybernetics of the National Academy of Sciences of Ukraine, Kamianets-Podilskyi National Ivan Ohiienko University / [editorship: Yu. H. Kryvonos (ed.), et.al.] — Kamianets-Podilskyi : Kamianets-Podilskyi National Ivan Ohiienko University, 2017. — Vol. 15. — P. 62–67. (Ukr.)
Verlan A. F. Methods and devices of experimental dependencies interpretation at research and control of power processes / A. F. Verlan, B. B. Abdusatarov, A. A. Ignatchenko, N. A. Maksimovich. — Kiev : Naukova dumka, 1993. — 208 p. (Rus.).
ЛіцензіяAuthors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).