Advanced Digital Signal Processing Quiz: 2

Name: _____________________________ Date: February 24, 2004 a: Give the equivalent impulse response of the following 3 LTI systems.

h1 h3h2

where

3

h1[n]1

0

h2[n]

-2

2 0

h3[n]

-1

3

K>Q@

b: Compute x[n] for the system where y[n] is given

0

y[n]

1

3

-2

4

[ >Q@

c: Is the following system i)Causal ii) stable

]3[]2[]4[)6.0(]2[)5.0(][ −+++−+−= nnnununh nn δδ i)no due to the third term ii) yes

Advanced Digital Signal Processing Quiz: 2

Name: _____________________________ Date: February 24, 2004 a: Give the equivalent impulse response of the following 3 LTI systems.

h1 h3h2

where

0

h1[n]1

0

h2[n]1

-1 0

h3[n]1

4

K>Q@

b: Compute x[n] for the system where y[n] is given

[ >Q@

0

y[n]

1

3

23

-2

c: Is the following system i)Causal ii) stable

]3[]2[]4[)2.0(]2[)9.0(][ −+−+−+−= nnnununh nn δδ i)yes ii) yes

Advanced Digital Signal Processing Quiz: 2

Name: _____________________________ Date: February 24, 2004 a: Give the equivalent impulse response of the following 3 LTI systems.

h1 h3h2

where

0

h1[n]1

0

h2[n]

2

2 0

h3[n]

-1

3

K>Q@

b: Compute x[n] for the system where y[n] is given

\ >Q@ [ >Q@

c: Is the following system i)Causal ii) stable

]6[]4[)2.0(]1[)8.0(][ ++−+−= nnununh nn δ i)no due to the fourth term ii) yes