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Is y[n] = n*sin(n*pi/4)u[-n] a causal system?

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in Signals and Systems by (1.2m points)
Is y[n] = n*sin(n*pi/4)u[-n] a causal system?

(a) Yes

(b) No

(c) Marginally causal

(d) None of the mentioned

I had been asked this question during an interview.

This is a very interesting question from Properties of LTI Systems topic in chapter Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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by (42.1k points)
Correct choice is (b) No

Explanation: The anti causal u[-n] term makes the system non causal.

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