Recent Developments on Hybrid Time-Frequency Numerical Simulation Techniques for RF and Microwave Applications

This paper reviews some of the promising doors that functional analysis techniques have recently opened in the field of electronic circuit simulation. Because of the modulated nature of radio frequency (RF) signals, the corresponding electronic circuits seem to operate in a slow time scale for the a...

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Bibliographic Details
Published in:Journal of function spaces 2013-01, Vol.2013 (2013), p.1-11
Main Authors: Oliveira, Jorge F., Pedro, José C.
Format: Article
Language:English
Subjects:
Algorithms
Carriers
Computer simulation
Design
Digital computers
Efficiency
Electric circuits
Electronic circuits
Mathematical models
Methods
Microwaves
Ordinary differential equations
Partial differential equations
Radio frequencies
Simulation
Studies
Transmitters
Variables
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Summary:This paper reviews some of the promising doors that functional analysis techniques have recently opened in the field of electronic circuit simulation. Because of the modulated nature of radio frequency (RF) signals, the corresponding electronic circuits seem to operate in a slow time scale for the aperiodic information and another, much faster, time scale for the periodic carrier. This apparent multirate behavior can be appropriately described using partial differential equations (PDEs) within a bivariate framework, which can be solved in an efficient way using hybrid time-frequency techniques. With these techniques, the aperiodic information dimension is treated in the discrete time domain, while the periodic carrier dimension is processed in the frequency domain, in which the solution is evaluated within a space of harmonically related sinusoidal functions. The objective of this paper is thus to provide a general overview on the most important hybrid time-frequency techniques, as the ones found in commercial tools or the ones recently published in the literature.
ISSN:2314-8896
0972-6802
2314-8888
1758-4965
DOI:10.1155/2013/578326