An independent voltage source in series with an impedance Z_s=R_s+jX_s delivers a maximum average power to a load impedance Z_L when

In the following scheme, if the spectrum M(f) of m(t) is as shown, then the spectrum Y(f) of y(t) will be:

A Hilbert transformer is a

The 3 - dB bandwidth of the low - pass signal $${e^{ - 1}}$$ u(t), where u(t) is the unit step function, is given by