Signals and Sys...

Consider a causal LTI system with frequency response \(H\left( {j\omega } \right) = \frac{1}{{j\omega + 2}}\), for a particular input x(t), this system is observed to produce the output y(t) = (e^-2t - e^-4t) u(t). Determine x(t)

What is the Fourier transform of x(t) = e^-2|t| sgn(t)

The percentage of total energy in signal \(f\left( t \right) = {e^{ - t}}u\left( t \right)\) is contained in frequency band |ω| < 5 rad/sec is ______