(Solved): 3. A conventional AM signal of the form Ac(1+m(t))cos(2fct) is shown in Figure 1. The ca ...

3. A conventional AM signal of the form $$A_c(1+?m(t))\cos \left(2?f_{c}t\right)$$ is shown in Figure 1. The carrier frequency is $$20\mathrm{KHz}$$. Figure 1: AM Signal (a) Determine the value of $$?$$ and $$A_c$$. (b) Determine $$m(t)$$. Write an equation for $$m(t)$$ including the amplitude and frequency. (c) What is the average power of the modulated signal? (d) Determine the Fourier transform of the modulated signal and plot its amplitude spectrum.