#593 Consider a 2-point averaging filter

Consider a 2-point averaging filter - Electrical Engineering

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3) Consider a 2-point averaging filter (a discrete-time system whose present output signal equals the average value of the present and previous input signal values): 

a) What is the differential equation for this system?

b) What is the unit sample response of this system?

c) Use numeric convolution, determine the response of this system to the input sequence: 1, 2, 3,4, 53?

d) Verify that the system performed the averaging operation properly in Part c)

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