In Example 3.4.1 we solved for x (n) , n < 0, by performing contour integrations for each value of n. In general, this procedure proves to be tedious. It can be avoided by making a transformation:in the contour integral from z-plane to the w = 1/z plane. Thus a. circle of radius R in the z-plane is mapped into a circle of radius 1/R? in the iv-plane. As a consequence, a pole inside the unit circle in the z-plane is mapped into a pole outside the unit circle in the w-plane. By making the change of variable w = 1/z in the contour integral, determine the sequence x(n) for n < 0 in Example 3.4.1.
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