3. (20 points) Consider the causal and BIBO-stable LTI system described by the following first order constant coincide deference equation: (a) Determine the system function H(z) and the impulse response h(n), by taking the inverse Z-transform of H(z). (b) Suppose the system is initially relaxed, is applied to the relaxed system. Determine the output y(n) (note that y(n) is the zero-state response of the system). Determine the natural response of the system ynr(n), and the forced response of the system yfr(n). (c) Suppose the system is non-relaxed is applied to the non-relaxed system. Determine the zero-input response of the system yzi(n), the zero-state response of the system yzs(n), and the total response of the system y(n). • (Bonus Problem, 5 points) Based on the pole-zero plot and the ROC of H(z), what type of

image 22 - 3. (20 points) Consider the causal and BIBO-stable LTI system described by the following first order constant coincide deference equation: (a) Determine the system function H(z) and the impulse response h(n), by taking the inverse Z-transform of H(z). (b) Suppose the system is initially relaxed, is applied to the relaxed system. Determine the output y(n) (note that y(n) is the zero-state response of the system). Determine the natural response of the system ynr(n), and the forced response of the system yfr(n). (c) Suppose the system is non-relaxed            is applied to the non-relaxed system. Determine the zero-input response of the system yzi(n), the zero-state response of the system yzs(n), and the total response of the system y(n). • (Bonus Problem, 5 points) Based on the pole-zero plot and the ROC of H(z), what type of
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sign up for premium and access unlimited solutions for a month at just 5$(not renewed automatically) images - 3. (20 points) Consider the causal and BIBO-stable LTI system described by the following first order constant coincide deference equation: (a) Determine the system function H(z) and the impulse response h(n), by taking the inverse Z-transform of H(z). (b) Suppose the system is initially relaxed, is applied to the relaxed system. Determine the output y(n) (note that y(n) is the zero-state response of the system). Determine the natural response of the system ynr(n), and the forced response of the system yfr(n). (c) Suppose the system is non-relaxed            is applied to the non-relaxed system. Determine the zero-input response of the system yzi(n), the zero-state response of the system yzs(n), and the total response of the system y(n). • (Bonus Problem, 5 points) Based on the pole-zero plot and the ROC of H(z), what type of already a member please login