Open AccessJournal Article
A Method for Circuit Analysis Using Haar Wavelet Transform
Seiichiro Moro,Tadashi Matsumoto +1 more
9
TL;DR: In this paper, the authors proposed a method to analyze circuits using Haar wavelet transform, which can easily treat such matrices, thus the calculation and its comprehension become easier at the expense of more number of bases.
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Abstract: In this paper, we propose a method to analyze circuits using Haar wavelet transform. Recently, the method to analyze the circuit using Daubechies wavelets has been proposed. Then a Fourier-like approach as well as Laplace-like one for the solutions of transient problems by an algebraic system of equations is obtained and numerical time stepping is avoided. In that method, the matrices to express the integral and derivative are not easy to handle. In the proposed method, we can easily treat such matrices, thus the calculation and its comprehension become easier at the expense of more number of bases.
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Citations
Analysis method of periodic solution using Haar wavelet transform for autonomous nonlinear circuits
Tatsuya Nakabayashi,Masataka Mochizuki,Seiichiro Moro +2 more
- 01 Nov 2015
TL;DR: Haar wavelet can be easily treated, be adapted to time varying and nonlinear circuits and it is suitable to analyze nonlinear time-varying circuits.
A modified method for circuit analysis using haar wavelet transform with adaptive resolution — For circuits with waveform with sharp convex ranges—
Masanori Oishi,Seiichiro Moro,Tadashi Matsumoto +2 more
- 02 Oct 2009
TL;DR: A modified method for the circuit analysis using wavelet transform with adaptive resolutions improves the way to pick out the range and achieves more accurate and efficient calculations.
9
Analysis of unstable periodic solution of nonlinear circuits using Haar wavelet transform
Kohei Takamatsu,Tatsuya Nakabayashi,Seiichiro Moro +2 more
- 01 Oct 2016
TL;DR: The method to find unstable periodic solution of the autonomous nonlinear circuit using an oscillator with 5th-power nonlinear order characteristic is shown and it is proved that it is possible to find stable periodic solution.
4
Effect of Wavelet Selection on Periodic Steady-State Analysis
TL;DR: This paper presents a study of the effect wavelet selection has on the density of the Jacobian matrix and nodal waveform coefficients of wavelet based periodic steady-state analysis of electrical circuits and a new method for automatically selecting the threshold used when removing low amplitude elements in theJacobian matrix is introduced and tested.
A method to find periodic solutions in nonautonomous nonlinear circuits using Haar wavelet transform
Seiichiro Moro,Kohei Takamatsu +1 more
TL;DR: This paper proposes the method to analyze the steady-state periodic solutions of the nonlinear circuits driven by the periodic external input using Haar wavelet transform by applying the appropriate boundary conditions, and proves the effectiveness of the proposed method.
3
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Wavelet transforms versus Fourier transforms
TL;DR: This note is a very basic introduction to wavelets, starting with an orthogonal basis of piecewise constant functions, constructed by dilation and translation, and leading to dilation equations and their unusual solutions.
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Wavelet transforms versus Fourier transforms
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Walsh operational matrices for fractional calculus and their application to distributed systems
C.F. Cheng,Y.T. Tsay,Tao Wu +2 more
TL;DR: In this paper, the Walsh operational matrix for performing integration and solving state equations is generalized to fractional calculus for investigating distributed systems and a new set of orthogonal functions is derived from Walsh functions.
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Haar wavelet method for solving lumped and distributed-parameter systems
Cha Yi
- 01 Jan 1997
TL;DR: An operational matrix of integration based on Haar wavelets is established, and a procedure for applying the matrix to analyse lumped and distributed-parameters dynamic systems is formulated.
122
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