In simulating multipath fading channels it is important to calibrate the simulations. It is a common practice to normalize the power profile p(τ) and the doppler spectrum S(λ) in order to have unit areas.
(a) Find the value of a for normalizing an exponential power profile of the form
(b) Find the value of K needed for normalizing the Jakes doppler spectrum.
(c) Find the area under the Ricean doppler spectrum defined by (14.61).