EEE407/591
Test 2
Tuesday 4/1/08
Name:
The first sixteen questions are short and there is no partial credit on them.
Answer all questions carefully, circle
your answers.
1. The following z transform is given
solution:
h(n) =0.9 delta(n+1)+delta(n)+(1/0.9) delta(n1)
For the same ROC sketch carefully the inverse ztransform of
(2pts)
2. The transfer function of a causal digital filter is
The filter is Unstable(2pts)
FALSE
3. The following filter is given
.
Give the group delay of this filter
(2pts)
grp delay=
3/2
4.
Write the steadystate response of the filter
The input is
(2pts)
5. Poles of a zdomain causal transfer function that are outside the unit circle but lie on the lefthand side of the
imaginary axis imply that the system is stable. (2pts)
FALSE
6. For highorder highpass filters the bilinear transform method may produce an aliased digital filter frequency
response. (2pts)
FALSE
7. The impulse invariance method does not suffer from aliasing effects for firstorder analog lowpass filter
approximations. (2 pts)
FALSE
H
(
z
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 Fall '09
 AP
 Digital Signal Processing, Lowpass filter, Finite impulse response, Digital filter, causal digital filter

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