Question 2: Parts (a) and (b) below are independent. a) [6 pts.] Consider a discrete-time system...

 

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Question 2: Parts (a) and (b) below are independent. a) [6 pts.] Consider a discrete-time system described by y[n]=x[n] x(n-1), where xin) and yn) are the system input and output, respectively. Determine whether such a system is BIBO stable (or not) and Time-invariant (or not). Show your work to receive full credit. 5) [6 pts.] Given the following impulse response, h(t) of a continuous-time LTI system: h(t) = u(-1) such that u(t) is the unit-step function. Sketch h(t) and determine whether such a system is causal or not) and stable (or not). Show your work to receive full credit. Question 2: Parts (a) and (b) below are independent. a) [6 pts.] Consider a discrete-time system described by y[n]=x[n] x(n-1), where xin) and yn) are the system input and output, respectively. Determine whether such a system is BIBO stable (or not) and Time-invariant (or not). Show your work to receive full credit. 5) [6 pts.] Given the following impulse response, h(t) of a continuous-time LTI system: h(t) = u(-1) such that u(t) is the unit-step function. Sketch h(t) and determine whether such a system is causal or not) and stable (or not). Show your work to receive full credit.

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