Digital Signal Processing Reference
In-Depth Information
6.3.
As illustrated in Figure P6.3, the periodic square wave is the input signal to an ideal
low-pass filter with the frequency spectrum shown. Find the output signal if the input
signal has a period of
(a)
40 ms;
(b)
25 ms;
(c)
20 ms;
(d)
12.5 ms;
(e)
10 ms;
(f)
6.25 ms.
Sketch each of the output signals.
H
( )
1
x
(
t
)
y
(
t
)
Ideal low-
pass filter
180
0
180
x
(
t
)
1
T
4
T
4
0
T
2
T
t
Figure P6.3
6.4.
Use MATLAB and S
IMULINK
to show if the ideal low-pass filter of Problem 6.3 is
replaced by an
RC
low-pass (first-order Butterworth) filter with
y(t)
v
c
= 200p.
(See
Example 6.6.)
6.5.
Calculate the frequency response of the circuit shown in Figure P6.5 and determine
what type of ideal filter is approximated by this circuit.
L
C
R
v
i
(
t
)
v
o
(
t
)
Figure P6.5
6.6.
Calculate the frequency response of the circuit shown in Figure P6.6 and determine
what type of ideal filter is approximated by this circuit.
R
C
v
i
(
t
)
v
o
(
t
)
L
Figure P6.6
