Question: consider the causal system for which the input x(n) and output y (n) is related by the linear constant-coefficient difference equation y(n)-y(n-1)= x(n)- x(n-1) a.

consider the causal system for which the input x(n) and output y (n) is related by the linear constant-coefficient difference equation y(n)-y(n-1)= x(n)- x(n-1)

a. determine the unit sample response of the system

b. using the result of a and convolution sum, determine the response to the input x(n) = e^jwn

c. determine the frequency response of the system

d. determine the response of the system to x(n) = cos(n*pi/2 +pi/2)

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