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How is the discrete time impulse function defined in terms of the step function?

How is the discrete time impulse function defined in terms of the step function?

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asked Sep 29, 2022 in Signals and Systems by Lucy (1.2m points)

How is the discrete time impulse function defined in terms of the step function?

(a) d[n] = u[n+1] – u[n].

(b) d[n] = u[n] – u[n-2].

(c) d[n] = u[n] – u[n-1].

(d) d[n] = u[n+1] – u[n-1].

The question was asked in an interview for internship.

My query is from The Impulse Function topic in portion Signals and Systems Basics of Signals and Systems

signals and systems
signals and systems basics
the impulse function

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answered Oct 8, 2022 by leeyal (42.1k points)

Correct option is (c) d[n] = u[n] – u[n-1].

To explain I would say: Using the definition of the Heaviside function, we can come to this conclusion.

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