The waveform shown in the figure is non-recurring. Write

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The waveform shown in the figure is non-recurring. Write an equation for this waveform, V (t)—

1. 3r (t) u (t) – 3r (t – 1) u (t – 1) – u (t –1) – 2 u (t – 2)
2. 3r (t) u (t) – 3r (t – 1) u (t – 1) – 2 u (t – 2)
3. 3r (t) u (t) – 3r (t – 1) u (t – 1) – u (t – 1)
4. None of the above

Correct Option: A

From the given waveform it is concluded that the required waveform is a combination of four waveforms as shown below.

V(t) = V₁(t) + V₂(t) + V₃(t) + V₄(t)
or V (t) = 3 r (t) u (t) – 3r (t – 1) u (t – 1) – u (t – 1) – 2 u (t – 2)