Home » Signals and Systems » Signal and systems miscellaneous » Question

Signal and systems miscellaneous

Signals and Systems

  1. y(t) = 2 x(t) is an invertible system whose inverse system H–1 is—
    1. 1
      x(t)
      2
    2. 1
      x2(t)
      2
    3. 3
      y(t)
      2
    4. 1
      y(t)
      2
Correct Option: D

From given figure

y(t) = H x(t)
H– 1 2x(t) = y′(t)
y(t)=2x(t)
Again from figure
y′(t) = y(t). H– 1

or y′(t) = 2. x(t)
1
2

or y′(t) = x(t)
Therefore, it is clear that the system is invertible.
Hence, alternative (D) is the correct choice.



Your comments will be displayed only after manual approval.