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In the following diagram, X [n] and y [n] are related by ______

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In the following diagram, X [n] and y [n] are related by ______

(a) Y [n] = 2*x [n]

(b) Y [n] = -2*x [n]

(c) Y [n] = x [2n]

(d) Y [n] = x [-2n]

I have been asked this question by my school principal while I was bunking the class.

I want to ask this question from Basic Operations on Signals in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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Correct choice is (a) Y [n] = 2*x [n]

The explanation: Y [n] = 2*x [n] is an example for amplitude scaling of discrete time signal. The given figure is an example for 2*x [n] hence Y [n] = 2*x [n] is correct.

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