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Laplace transform has the following merit ever Fourier transform—
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- former is more informative
- latter is more informative
- former converges for more functions
- latter has exponential decay
Correct Option: C
As we know that for the existance of Laplace transform, the integral
∫∞– ∞ f(t)e– st dt must be converge.
or ∫∞– ∞ |f(t)e– st|dt < ∞
where as σ → damping coefficient + jω
∫∞– ∞ f(t) e– σt e– jωt dt
In this expression the factor e– σt is the convergence factor.
Hence, alternative (C) is the correct choice.