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X [n] and y [n] is as shown below, the relationship between x [n] and y [n] is given by ______

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in Signals and Systems by (1.2m points)
X [n] and y [n] is as shown below, the relationship between x [n] and y [n] is given by ______

(a) X [n] = y [n]/3

(b) X [n] = 3* y [n]

(c) Y [n] = x [n]/3

(d) Y [n] = 3*x [n]

The question was posed to me in final exam.

Asked question is from Basic Operations on Signals in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Correct option is (c) Y [n] = x [n]/3

To explain: The given y [n] is amplitude scaling of a discrete time signal by a factor 1/3.

Hence the amplitude is reduced by 1/3.

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