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Signal and systems miscellaneous

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  1. Laplace transform has the following merit ever Fourier transform—
    1. former is more informative
    2. latter is more informative
    3. former converges for more functions
    4. 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.



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