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The input- output relation of a device is represented asi(t)=ao+a1v1(t)+a2v^2 (t)+⋯. Does this device have memory?

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The input- output relation of a device is represented asi(t)=ao+a1v1(t)+a2v^2 (t)+⋯. Does this device have memory?

(a) Has memory

(b) Does not have memory

(c) It is dynamic

(d) Insufficient information

I have been asked this question in exam.

This intriguing question comes from Properties of Systems in section Signals and Systems Basics of Signals and Systems

1 Answer

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by (42.1k points)
Correct choice is (b) Does not have memory

The explanation: In the given equation, v (t) is the voltage applied I (t) is the current flowing through the device and a0, a1, a2 are the constants. It does not involve any past value of the input signal and hence memory less.

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