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We define y[n] = nx[n] – (n-1)x[n]. Now, z[n] = z[n-1] + y[n]. Is z[n] a causal system?

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We define y[n] = nx[n] – (n-1)x[n]. Now, z[n] = z[n-1] + y[n]. Is z[n] a causal system?

(a) No

(b) Yes

I have been asked this question in quiz.

I would like to ask this question from Discrete Time Signals in section Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
The correct answer is (b) Yes

Best explanation: As the value of the function depends solely on the value of the input at a time presently and/or in the past, it is a causal system.

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