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Unformatted text preview: Uniﬁed Engineering I Fall 2003 Problem S14 (Signals and Systems)
Consider the RLC circuit of Problem S13, shown below: L1
C2 – R3 y(t)
– 1. Find the transfer function, G(s), of the system, using
G(s) = C (sI − A)−1 B + D (1) 2. Find the transfer function using impedance methods. Show that your result
agrees with the result in part (1).
3. For component values
L1 = 1 H, C2 = 0.25 F, R3 = 10 Ω
plot the magnitude of the transfer function G(jω ) vs. ω . Explain why the ﬁlter
is called a notch ﬁlter.
Note: You may ﬁnd it useful to use Matlab or a spreadsheet to calculate values of
the transfer function, since there is a fair amount of complex arithmetic. ...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.
- Fall '05