Q1: which of these statements are True and which 1 1. Without the knowledge of the ROC, there is no unique relationship between a sequence and its z-transform. $ 2. The gain margin is the change in closed-loop gain, expressed in decibels (dB), required at 180 o of phase shift to make the closed- loop system unstable. 3. The phase margin is the change in open-loop phase shift, required at unity gain to make the closed-loop system unstable. only if its imnulse

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Q1: which of these statements are True and which one is False?
* 1. Without the knowledge of the ROC, there is no unique relationship
between a sequence and its z-transform.
2. The gain margin is the change in closed-loop gain, expressed in
decibels (dB), required at 180 o of phase shift to make the closed-
loop system unstable.
3. The phase margin is the change in open-loop phase shift, required at
unity gain to make the closed-loop system unstable.
4. A discrete-time linear system is BIBO stable if and only if its impulse
response sequence is stable.
5(z-2)
(z-0.1)(z-0.8)
5. The system has transfer function such as G(s) =
would
be stable.
Transcribed Image Text:Q1: which of these statements are True and which one is False? * 1. Without the knowledge of the ROC, there is no unique relationship between a sequence and its z-transform. 2. The gain margin is the change in closed-loop gain, expressed in decibels (dB), required at 180 o of phase shift to make the closed- loop system unstable. 3. The phase margin is the change in open-loop phase shift, required at unity gain to make the closed-loop system unstable. 4. A discrete-time linear system is BIBO stable if and only if its impulse response sequence is stable. 5(z-2) (z-0.1)(z-0.8) 5. The system has transfer function such as G(s) = would be stable.
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