A second order analog low pass filter has a transfer function where Q is called the quality factor of the filter (a) Show that the maximum of the magnitude cent for Q 1 2occurs at Icirc copy 0 cent for Q yen 1 2occurs at a frequency different from zero (b) Show that for Q 1 2 0 707, the half power ...

a The magnitude square of the filter is To maximize it we equivalently minimize D so ...

A second-order analog low-pass filter has a transfer function where Q is called the quality factor of

Question:

A second-order analog low-pass filter has a transfer function

H(s) s +s/Q+1

where Q is called the quality factor of the filter.

(a) Show that the maximum of the magnitude

€¢ for Q < 1/ˆš2occurs at Î© = 0.

€¢ for Q ‰¥ 1/ˆš2occurs at a frequency different from zero.

(b) Show that for Q = 1/ˆš2 = 0.707, the half-power frequency of this filter is Î©_hp = 1 rad/sec.

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 28, 2018 11:43 AM

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A second-order analog low-pass filter has a transfer function where Q is called the quality factor of

Question:

H(s) s +s/Q+1

Step by Step Answer:

a The magnitude square of the filter is To maximize it we equivalently minimize D so ...View the full answer

Signals and Systems using MATLAB

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