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a) Determine the overall operator H of a system whose output signal y[n] is given by y[n]=20[ x(n+1)+x(n)+x(n-1)] Draw its cascade block diagram Major Topic Discrete-time systems F x(t) = cos t+cos-t+cos-t 3 6 9 Blooms Designation CR b) Determine whether the signal below is periodic. If it is periodic find its fundamental period. Major Topic Periodic and Non-periodic Signals Blooms Designation CR c) Prove that if x₁(n) is an even signal and x2(n) is an odd signal their product is and odd signal Major Topic Even and Odd Signals Score Blooms Designation CR 7 Score Score
a) In your own words, distinguish between a time invariance system and a time variant system. Determine whether the system below is a time invariant system or a time variant system. Majon Topic Time invariance and Time variant systems ii. y(t)=ex(t) b) Distinguish between a static system and a dynamic system and determine whether the systems below are a static system or a dynamic system. Give reason for your answer y(t)=5x(t)+3x(t-1) +10x(t-2) Major Topic y(t)=x(5t) Blooms Designation AP Static and Dynamic Systems Score 7 Blooms Designation AN Score 7 c) In your own words, explain the difference between a linear system and non-linear system. Determine whether the system below is a linear system or a non-linear system. y(t)=x(cost)