Reconstruction of Nonlinearly Deformed Periodic Signals Using Inverse Circular Parametric Operators

Kłosiński, R.; Kozioł, M.

doi:10.1109/imtc.2007.379237

Cited by 2 publications

(1 citation statement)

References 10 publications

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“…In this situation, the behavior of the non-linear system can be described by means of a set of CPOs. For example, CPOs were used to describe a nonlinear current transformer in (Kłosiński and Kozioł, 2007). From this description, it is possible to estimate the current flowing through the primary of the transformer on the basis of secondary current samples.…”

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The steady-state impedance operator of a linear periodically time-varying one-port network and its determination

Kłosiński

2009

International Journal of Applied Mathematics and Computer Science

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The main subject of the paper is the description and determination of the impedance operator of a linear periodically timevarying (LPTV) one-port network in the steady-state. If the one-port network parameters and the supply vary periodically with the same period, the network reaches a periodic steady state. However, the sinusoidal supply may induce a nonsinusoidal voltage or current. It is impossible to describe such a phenomenon by means of one complex number. A periodically time-varying one-port network working in a steady-state regime can be described with a circular parametric operator. Within the domain of discrete time, such an operator takes the form of a matrix with real-valued entries. The circular parametric operator can be transformed into the frequency domain using a two-dimensional DFT. This description makes it possible to quantitatively assess LPTV system input and output harmonics aliasing. The paper also presents the derivation and the proof of convergence of an iteration scheme for the identification of circular parametric operators. The scheme may be used to determine the impedance of an LPTV one-port network. Some results of computer simulations are shown.

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The steady-state impedance operator of a linear periodically time-varying one-port network and its determination

Kłosiński

2009

International Journal of Applied Mathematics and Computer Science

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Reconstruction of spectrum of the nonlinearly distorted periodic signals sampled non-coherently

Kłosiński

2008

2008 International School on Nonsinusoidal Currents and Compensation

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Reconstruction of Nonlinearly Deformed Periodic Signals Using Inverse Circular Parametric Operators

Cited by 2 publications

References 10 publications

The steady-state impedance operator of a linear periodically time-varying one-port network and its determination

The steady-state impedance operator of a linear periodically time-varying one-port network and its determination

Reconstruction of spectrum of the nonlinearly distorted periodic signals sampled non-coherently

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