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The signal x(t)=2a/(t^2+a^2) , - infinity < t < infinity is passing through a band-limiting low-pass...

The signal
x(t)=2a/(t^2+a^2) , - infinity < t < infinity

is passing through a band-limiting low-pass filter with bandwidth B Hz. Determine the minimum
value of B in terms of a so that the output of the filter has 99% of the energy of the input signal.

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