Thread: What is the mathematical bandwidth of the signal?

Given a signal is angle modulate and is:

Xc(t)=10cos(2 pi 10^8 t + 200cos 2 pi 10^3 t)


Find what is the bandwith?

Originally Posted by orendacl

Given a signal is angle modulate and is:

Xc(t)=10cos(2 pi 10^8 t + 200cos 2 pi 10^3 t)


Find what is the bandwith?

The analytic representation of this signal is:



so the instantaneous phase is:



and the instantaneous frequency is:



and the bandwidth is therefor the difference between the higest and lowest instataneous frequencies:



CB