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If describe x [n] as superposition of two step functions.

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in Signals and Systems by (1.2m points)
If  describe x [n] as superposition of two step functions.

(a) X [n] = u [n] – u [n-5].

(b) X [n] = u [n] + u [n-5].

(c) X [n] = u [n-5] – u [n].

(d) X [n] = u [n-5] + u [n].

I had been asked this question during an interview for a job.

My doubt is from Elementary Signals in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Correct option is (a) X [n] = u [n] – u [n-5].

The best I can explain: X [n] will be of amplitude for the interval 0 to 4 and zero otherwise. It can be obtained by the equation x [n] = u [n] – u [n-5].

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