GATE EC 2003 Set 1 Q76 — Analog Communications

The data for Q. 75-76 are given below. Solve the problems and choose the correct answers.

Let $m(t)=\cos \left[\left(4 \pi \times 10^{3}\right) t\right]$ be the message signal and $\left.c(t)=5 \cos \left[2 \pi \times 10^{b}\right) t\right]$ be the carrier

$c(t)$ and $m(t)$ are used to generate an $\text{FM}$ signal. If the peak frequency deviation of the generated $\text{FM}$ signal is three times the transmission bandwidth of the $\text{AM}$ signal, then the coefficient of the term $\cos \left[2 \pi\left(1008 \times 10^{3} t\right)\right]$ in the $\mathrm{FM}$ signal (in terms of the Bessel coefficients) is