ECE210 Fall 2002 3: Frequency Response and Fourier Series , Page 1 of 3 3: Frequency Response and Fourier Series Objective: The objective of this lab is to study band -pass filtering and to introduce the Fourier series describing a periodic signal as a sum of harmonic components. Pre-Lab: Compute the Fourier series representation of the following periodic signal, f(t). That is, find a n such that: ∞ f(t) = ∑ a n cos(n ϖ0 t), where ϖ 0 = 2p/T. Notice a0 /2 = 0. n = 1 A –A T t Laboratory: Equipment : Function generator, oscilloscope, protoboard, and wires. Components : 741 op amp, two 0.1μF, 1k Ω , 2.7k Ω and three 2.2k Ω . Part I: Frequency Response 1. Construct the circuit shown in Figure 3-1. R = 2.2k Ω , C = 0.1 μF, R a = 1 k Ω , R b = 2.7k Ω . Remember the rules for wiring up and using the 741 op amp. They are repeated below in Figure 3-2. CH2 CH1 R R C C R R a R b – + Figure 3-1 3: Frequency Response and Fourier Series , Page 2 of 3 Pins 1 & 5 are offset null corrections
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This note was uploaded on 08/08/2009 for the course ECE 210 taught by Professor Whoever during the Fall '07 term at University of Illinois at Urbana–Champaign.