The step, ramp and parabolic test input signals can respectively be expressed as
UGC NET - 2014,
Answer: A
The Laplace transforms are \(R(S) = \frac{A}{S}\) for the step, \(\frac{A}{S^{2}}\) for the ramp and \(\frac{2A}{S^{3}}\) for the parabolic input. A step \(A\) has transform \(A/S\), a ramp \(At\) has \(A/S^{2}\), and a parabola \(At^{2}\) has \(2A/S^{3}\).
Option B uses the constant A for the step, which is the time-domain value, and its parabolic transform \(A/S^{2}\) is the ramp's. Options C and D confuse the transforms with powers of S in the numerator or give the ramp as \(2A/S\).
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