Problem 2: The FM (frequency modulation) modulated signal is expressed (time t is in seconds, report each frequency f in Hz)
u(t) = 12cos(2π88000t + 3sin(2π5000t))
a) Determine and give the instantaneous frequency f_(i)(t) (includes carrier component) as a function of t.
b) What is the carrier frequency f_(c), and what is the maximum frequency deviation f_(d) from f_(c)?
c) What is the value of the FM modulation index β?
d) Give the value of an approximation to the signal bandwidth of u(t) (as an extent in Hz spanning both sides of the carrier frequency).
e) What is the average power P_(u) of modulated signal u(t)?