Transfer function of an LTI continuous time system is given in the following form e-2s(s + 2) H(s) (s + 1)²(s² + 5s + 6) a) Obtain the impulse response of this system if it is a causal system. b) Obtain the impulse response of this system if it is a noncausal system. c) Obtain the impulse response of this system if it is an anticausal system. d) Discuss the stability of the given system by sketching and considering its pole-zero plot.|

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Transfer function of an LTI continuous time system is given in the following form
e
25(s + 2)
H(s)
(s + 1)2(s² + 5s + 6)
a) Obtain the impulse response of this system if it is a causal system.
b) Obtain the impulse response of this system if it is a noncausal system.
c) Obtain the impulse response of this system if it is an anticausal system.
d) Discuss the stability of the given system by sketching and considering its pole-zero plot.|
Transcribed Image Text:Transfer function of an LTI continuous time system is given in the following form e 25(s + 2) H(s) (s + 1)2(s² + 5s + 6) a) Obtain the impulse response of this system if it is a causal system. b) Obtain the impulse response of this system if it is a noncausal system. c) Obtain the impulse response of this system if it is an anticausal system. d) Discuss the stability of the given system by sketching and considering its pole-zero plot.|
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