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In this paper, a closed-form expression and a macro model for simulation are proposed for the RLCG transmission line expressed in terms of the telegrapher's equation. First, the hyperbolic functions contained in the admittance matrix of the transmission line are analytically expanded in terms of poles and residues, deriving a close expression of the admittance matrix. Next, from the closed-form expression, rigorous poles of the admittance matrix are obtained. By using the closed-form expression, a macro model of the RLCG transmission line is obtained. The passivity of the macro model, a method for determination of the order, and a simulation method in the time domain are discussed. As a numerical example, a closed-form expression and a traditional discretized model of a transmission line are compared. In this way, the effectiveness of the macro model obtained from the closed-form expression is confirmed. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 87(4): 1–11, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.10155 [ABSTRACT FROM AUTHOR]

In the method based on the discrete Fourier transform of transmission line networks, the number of frequency components to be considered depends on the effective frequency of the network and the amount of time the input power supply is restricted. Hence, if the input power supply lasts a long time, many frequency components are needed and the computational efficiency is degraded, even if the effective frequency of the network to be analyzed is unchanged. This is because the network equation needs to be solved every time in order to obtain the response at each frequency. In this paper, a method is proposed in which the solutions of the network equation are sought as few times as possible and the frequency response is approximate instead. As approximation methods, one based on the third-order spline function and one based on the discrete Fourier transform–inverse transform are used. Through numerical examples, it is shown that the proposed method is superior in terms of computational efficiency to the moment matching method (known as a high-speed simulation method) for a relatively small-scale problem. © 2000 Scripta Technica, Electron Comm Jpn Pt 3, 84(3): 81–90, 2001 [ABSTRACT FROM AUTHOR]

Focuses on a novel class of cellular neural networks. Out put of cell given by piecewise-linear function having multiple constant regions or quantization function; Image processing tasks.