Should the real time instruments like CRO and DSO be time invariant ?

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  1. Yes
  2. Never
  3. Sometimes
  4. No relation with the time invariance

Answer (Detailed Solution Below)

Option 1 : Yes
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Detailed Solution

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Concept:

A time-invariant system has the property that a certain input will always give the same output (up to timing), without regard to when the input was applied to the system.

F24 Neha B 18-3-2021 Swati D4

F24 Neha B 18-3-2021 Swati D5

In this figure,

x(t) and x(t−t0) are passed through the system TI.

Because the system is time-invariant, the inputs x(t) and x(t−t0) produce the same output.

The only difference is that the output due to x(t−t0) is shifted by a time t0.

Analysis:

CRO (for cathode-ray oscilloscope), or DSO ( digital storage oscilloscope), is a type of electronic test instrument that graphically displays varying signal voltages, usually as a calibrated two-dimensional plot of one or more signals as a function of time.

CRO and DSO produce the same output for even delayed input, So they must be time-invariant.

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