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6

There can't be. One man's signal is another man's noise. In fact, a communication system making the absolute most of a bandwidth would be spectrally white, just like white noise, and hence be indistinguishable from noise to anyone but the receiver for that specific system.


2

First of all, in order to have a Fourier transform, the original signal has to be multiplied by the unit step function: $$x(t)=e^{-t}u(t)$$ Giving indeed the transform: $$X(\omega)=\frac{1}{j\omega+1}$$ The way to plot a complex function on the frequency domain is by finding both its amplitude and its phase, and drawing one graph for each. For the ...


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