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What does the associative property apply?

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in Signals and Systems by (1.2m points)
What does the associative property apply?

(a) Parallel connection of two systems is equivalent to a single system only in case of a continuous system

(b) Series and parallel interconnection of two systems is equivalent to a single system only in case of discrete system

(c) Series interconnection of two systems is equivalent to a single system in case of both continuous  and discrete system

(d) Series interconnection of two systems is equivalent to a single system only in case of discrete

I got this question by my school teacher while I was bunking the class.

Question is taken from Properties of LTI Systems topic in division Time-Domain Analysis of CT Systems of Signals and Systems

1 Answer

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Right choice is (c) Series interconnection of two systems is equivalent to a single system in case of both continuous  and discrete system

Easiest explanation: Series interconnection of two systems is equivalent to a single system in case of both continuous and discrete system. This can be generalized to an arbitrary number of LTI systems in cascade.

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