If the modulated wave for AM is S(t)AM = Ac(1 + Kam(t))cos(2πfct). Where m(t) is the information signal and Accos(2πfct) is the carrier signal. The AM wave is plotted in frequency domain as in figure1- Determine Ac, Am, fc, fm 2- The bandwidth of the wave. 3 -sensitivity of the modulator. 4- Determine the average power at the carrier (assume the 1 ohm resistor). Noto : assume Modulation index 1. Fig. 1. AM wave in Frequency domain
![An amplitude modulated wave is given by s(t) = [1 + kam(t)]c(t), where ka is the modulator sensitivity, m(t) is the message wave and c(t) is the carrier wave. Assume that a sinusoidal signal is chosen as the carrier wave; c(t) = cos(2πfct), where fc is the carrier frequency. Let the message signal m(t) be a periodic triangular pulse wave shown in Fig. 1 Figure 1: Message signal m(t) (a). Find ka for 50% modulation. [hint: Percentage modulation is defined as max|kam(t)| × 100% ] (b). Sketch the amplitude modulated signal s(t) for 50% modulation.](https://www.doubtrix.com/uploads/editor/0778063553RLzvMpgLmL.jpeg)
