4.1 Frequency Modulation The message signal m(t) = 1 0≤t<to/3 -2 to/3≤t<2to/3 0 otherwise frequency modulates the carrier c(t) = cos 2лft, where fc: = 200 Hz and to 0.15 sec. The frequency-deviation constant is kƒ = 50. Therefore, the frequen modulated signal is u(t) = cos (2x fet + 2µk; [__ m(t) dt). 4. Suppose we define the bandwidth W of m(t) as the width of th of its spectrum. Determine the modulation index ẞ and the modi bandwidth Be using Carson's rule.