Thank you so much for getting back to me. It never specified so I took t>0. Would the Fourier transform still be correct were that the case? In the Fourier transform examples we were given we were always given t>0.
As it refers to it being a perfect low pass filter could you take it as being ideal and so xo(jω) = x(jω) and then use the bandwidth as the interval over which you're integrating, so you'd be integrating according to 0<|ω| < B? Sound right to anyone?
Homework Statement
x(t) is input into a perfect lowpass filter with frequency response H(ω), having a bandwidth of BHz and a passband gain of 1. For B = (2πT)-1 Hz, calculate the ratio of the output signal energy to the input signal energy.
Homework Equations
x(t) = Ae-|t|/T
The...