Abstract. This paper represents a method of analysis of simple networks with the help of MATLAB-SIMULINK models and microcontroller based hardware. The mathematical foundation of this method is an algorithm based on orthogonal Hybrid Function.Keywords: Hybrid function, microcontroller, MATLAB, analysis. IntroductionMarriage of sample-and-hold functions (SHF) [1] and triangular functions (TF) [1] has given birth to a set of orthogonal hybrid functions (HF) [2][3]. Among various utilities and applications of HF, this paper is focused on System Analysis. Hybrid Function -A Combination of Shf and TfWe can use a set of sample-and-hold functions and the set of triangular functions to form a function set, which we call a 'Hybrid Function' set. To define this set, we express the (i+1)-th member H i (t)of the m-set hybrid function H m (t)where, i = 0, 1, 2, …, (m-1), a i and b i are scaling constants. We can approximate a square integrable function f(t) of Lebesgue measure by Hybrid Function set. Fig. 1 illustrates this idea. f(t) is sampled at three equidistant points A,C,E. c 0 , c 1 , c 2 are the magnitude of these samples. Linearly joining A, C& C,E we get a SHF set composed of □ABFO &□CDGF and TF set constituted with ∆ACB & ∆CED. Hence, piecewise linear wave which we get in this manner, is nothing but HFapproximation of f(t).

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