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The order of the Cascade system doesn’t depend on the output. Which is the property?

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The order of the Cascade system doesn’t depend on the output. Which is the property?

(a) Commutative

(b) Associative

(c) Commutative and distributive

(d) Distributive

This question was posed to me by my college professor while I was bunking the class.

Query is from Properties of LTI Systems in chapter Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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The correct choice is (b) Associative

The best explanation: Series interconnection of two systems is equivalent to a single system in case of both continuous and discrete system, which is the associative property. This can be generalized to an arbitrary number of LTI systems in cascade.

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