ecel303_lab8se - DrexelUniversity ,ECEL303 TITLE:...

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TITLE:  Fourier Analysis and Filter Design  NAME:  Seher Ahmad PARTNER:  Palak Chandra   TA:  Elaine Garbarine   DATE PERFORMED:  06/01/2007   DATE DUE:  06/08/2007 DATE RECEIVED Drexel University Electrical and Computer Engineering Dept. Electrical Engineering Laboratory III, ECEL-303
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FOURIER ANALYSIS AND FILTER DESIGN OBJECT:- The object of the experiment was to become familiar with the Fourier series representation of a periodic wave. This was done by calculating the Fourier series of a periodic square wave followed by the design of a filter and the effect it has on the periodic signal. CIRCUIT DIAGRAMS Circuit Diagrams & Figures Fig. 1. Effect of an ideal low-pass filter Gyanam Hazarika & Sourav Das, November 17, 2006
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Fig. 2. Low-pass RC filter and Bode approximation plot Gyanam Hazarika & Sourav Das, November 17, 2006 DATA and CALCULATIONS We first calculated the value of capacitance 1 c R C ϖ = × (1) 1 2 c f RC π = , where 0 3 3 c f f = × = × 400Hz = 1200 Hz 1 1 2 2 1200 100 c C f R Hz k π π = = = × × × 1.326 nF To determine the coefficients a n and b n , of the Fourier series, we used Maple by using the fundamental frequency of 400Hz Calculation of a n > > >
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Therefore, the terms a n of the Fourier series are 0. This was expected since a square wave
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