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Z-transform converts convolution of time-signals to

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Z-transform converts convolution of time-signals to

(a) Addition

(b) Subtraction

(c) Multiplication

(d) Division

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

The origin of the question is The z- and s-Domain Relationship topic in chapter Digital Control Systems of Control Systems

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The correct option is (c) Multiplication

Explanation: Convolution is the combination of addition and multiplication that is between the same signal or the different signals and convolution in time domain is always multiplication in z domain.

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