Q5. If the quality factor Q is large enough then the impulse response function of a particular LCR analogue filter can be approximated, (1)e-1/(2RC) RC h(1) = cos wol %3D where wo = 1/VLC. %3D (a) Describe what is meant by the quality factor Q of a filter. (b) Using the properties of Fourier transforms and the tabulated selected transforms, determine the frequency transfer function H(w) corresponding to this impulse response function. (c) Sketch the form of the power spectrum |H(w) of the frequency transfer function. Assume a large Q so you can neglect the term which resonates at w = -Wo. (d) Is this a low-pass, high-pass or a band-pass filter?
Q5. If the quality factor Q is large enough then the impulse response function of a particular LCR analogue filter can be approximated, (1)e-1/(2RC) RC h(1) = cos wol %3D where wo = 1/VLC. %3D (a) Describe what is meant by the quality factor Q of a filter. (b) Using the properties of Fourier transforms and the tabulated selected transforms, determine the frequency transfer function H(w) corresponding to this impulse response function. (c) Sketch the form of the power spectrum |H(w) of the frequency transfer function. Assume a large Q so you can neglect the term which resonates at w = -Wo. (d) Is this a low-pass, high-pass or a band-pass filter?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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