y(n) = a * y(n-1) + K * b * x(n-1) + K * x(n), where |a| < 1.(adsbygoogle = window.adsbygoogle || []).push({});

(a) Calculate its impulse response, h(n).

the homogenous equation is l^n-1(l-a) = 0 => 1 = a

so h(n) = [ka^n ] u(n)

(b) Calculate its step response.

I can't seem to find any examples online and my book says nothing about step responses. I am not sure where to start.

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# Step impulse response

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