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When a discrete time LTI system is said to be causal?

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in Signals and Systems by (1.2m points)
When a discrete time LTI system is said to be causal?

(a) Output y[n] must not depend on x[k] for k>n

(b) Output y[n] must not depend on x[k] for k=n

(c) Output y[n] must not depend on x[k] for k<n

(d) Output y[n] must depend on x[k] for k>n

The question was asked during a job interview.

My question is based upon Properties of LTI Systems in section Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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by (42.1k points)
The correct option is (a) Output y[n] must not depend on x[k] for k>n

To elaborate: A causal system cannot depend on the future values of the input. It can only depend on the past values or present values.

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