ECE464/564: Digital Signal Processing
HW#1 Solution
4.5
a)
xc (t ) 0,
| 2 .5000
TheNyquistrateis2timesthehighestfrequency. T
1
sec.ThisavoidsallaliasingintheC/C
10000
converter.
b)
1
10kHz
T
T
1
c
8 10000
c 2 .625rad / sec
f c 625 Hz
c)
1
20kHz
T
T
ECE-464/564 Digital Signal Processing
Midterm Exam #2
Thursday, March 1, 2012
4:00 5:00pm (1 hour)
Instructions
Closed book and closed notes.
Two formula sheets (US Letter size) are allowed.
You may use a calculator.
Please provide all answers according t
HW # 3
ECE464/564: Digital Signal Processing
5.14)
5.17)
a) H1 ( z ) has a zero outside the unit circle at z 2 so it is not minimum phase.
b) H 2 ( z ) is minimum phase since its poles and zeros are inside the unite circle.
c) H 3 ( z ) is minimum phase s
Solution HW#2(ECE464/564)
2.23
.
2.31)
4.24)
4.27)
X d (e jw )
1
w
X c ( j ),
T
T
w .
Now
Yd (e jw ) H d (e jw ) X d (e jw )
=
1
w
H d (e jw ) X c ( j ),
T
T
w .
TheD/Cconverterincludesanideallowpasfilterofbandwith
T
andgain T
Therefore
j T
TYd (e ),
Yc