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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
(d) A rst-order low-pass digital lter with z-domain transfer function
H(z) ¼
^
T(z)
T(z)
¼
(1 a)z
z a
¼
(1 a)
1 az
1
(4:693)
is used to lter the monthly temperature variations and pass any low-frequency lake
temperature variation with time. Plot the discrete-time frequency response magnitude and
phase for a ¼0.99. Find the cutoff frequency and determine whether it is less or greater than
v
0
¼p=6 rad=month. In addition, nd jH(e
jv0T
)j.
(e) Find the difference equation relating
^
T
k
and T
k
. Solve it recursively for
^
T
k
, k ¼1,2,...,300
and plot both input and output on the same graph.
(a) Taking the z-transform of Equation 4.692 gives
^
T(z) ¼
1
12
[z
1
T(z) þ
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Publisher Resources

ISBN: 9781439836736