GATE Electrical Engineering (EE) 2015 Shift 1 Solved Paper

Question : 45 of 65

Marks: +1, -0

Consider a discrete time signal given by

x [n] = \: (−0.25) ^{n}\:u [n] \: + \: (0.5) ^{n}\:u [−n−1]

The region of convergence of its Z – transform would be

The region inside the circle of radius 0.5 and cantered at origin
the region outside the circle of radius 0.25 and centred at origin
the angular region between the two circles, both centred at origin and having radii 0.25 and 0.5
The entire Z plane

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