(A) Two LTI systems with individual impulse responses h1[n] and h2[n] given below h1[n] = [2, 2, -10, 7, 20], -3sns1 h2[n] = [-2, 0, 0, 8, 4, 6], Osns5 1- Test the causality and stability of h1[n] only. 2- Find the overall impulse response when the two systems are connected in parallel. Hint: Use the convolution property in your solution.
(A) Two LTI systems with individual impulse responses h1[n] and h2[n] given below h1[n] = [2, 2, -10, 7, 20], -3sns1 h2[n] = [-2, 0, 0, 8, 4, 6], Osns5 1- Test the causality and stability of h1[n] only. 2- Find the overall impulse response when the two systems are connected in parallel. Hint: Use the convolution property in your solution.
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Related questions
Question
![(A) Two LTI systems with individual
impulse responses h1[n] and h2[n] given
below
h1[n] = [2, 2, -10, 7, 20], -3sns1
h2[n] = [-2, 0, 0, 8, 4, 6], Osns5
%3D
1- Test the causality and stability of h1[n]
only.
2- Find the overall impulse response when
the two systems are connected in
parallel. Hint: Use the convolution property
in your solution.
(B) For a CT system, given the following
set of poles and zeros. poles: sp1=-0.7,
sp2=2, sp3=-0.7+j2. Zeros: s1=-2, s2=-0.5.
1- Draw the pole-zero diagram.
2- Does the system stable or not? prove
3- Find the transfer function H(s) in a
rational form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1631d24f-a58c-4444-a740-ee1dd7ba03e9%2Fa416b7ea-13e9-4f8b-b43c-6d4b2e2a60f5%2Fpi7c402_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(A) Two LTI systems with individual
impulse responses h1[n] and h2[n] given
below
h1[n] = [2, 2, -10, 7, 20], -3sns1
h2[n] = [-2, 0, 0, 8, 4, 6], Osns5
%3D
1- Test the causality and stability of h1[n]
only.
2- Find the overall impulse response when
the two systems are connected in
parallel. Hint: Use the convolution property
in your solution.
(B) For a CT system, given the following
set of poles and zeros. poles: sp1=-0.7,
sp2=2, sp3=-0.7+j2. Zeros: s1=-2, s2=-0.5.
1- Draw the pole-zero diagram.
2- Does the system stable or not? prove
3- Find the transfer function H(s) in a
rational form.
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