Digital Filter Problem
Problem Freq4P09
Name_______________________________________
        You have a digital filter that implements the following difference equation.

xk+1 =  0.8xk + 0.2uk

        This difference equation is in a loop that operates at 1 second intervals.

In puttering with this filter, the user inadvertently changes the timing to 0.5 seconds and 0.25 seconds. Sketch the response (both cases) when the input is a constant.