Explain in details with all figures and equations the modulation index of Amplitude Modulation (AM) and then show the AM wave when the modulation index > 1 , modulation index < 1 and modulation index =1.choose the best case and why. 1-draw the three cases. 2-write an example.

Depanment of Electronics Engineering IX. A carrier signal is amplitude modulated by a sinewave. The resulting AM waveform Is shown below. zed 6V 2.5V a) What is the percentage of modulation? b) What is the amplitude of the carrier signal? c) To achieve 75 percent modulation, what amplitude of the modulating signal is needed? d) Calculate the effective voltage of the AM signal SSA AILE Q + Page 4 I 5 X. The frequency spectrum of an AM signal is shown betow: (9 pts)

IX. A carrier signal is amplitude modulated by a sinewave. The resulting AM waveform is shown below. a) b) c) d) 5.5V- 2V What is the percentage of modulation? What is the amplitude of the carrier signal? To achieve 75 percent modulation, what amplitude of the modulating signal is needed? Calculate the effective voltage of the AM signal

Why is a high percentage of modulation desirable?

What is the graph of the FM and PM magnitude spectrum with sine modulation?

I need the answer quickly

please answer with detail solutions with formula

7-2

Q2: A modulating signal is used to modulate a carrier signal(AM modulation). Let Pr . Pc. PSB. PuSB. PLSB and u are the total power, carrier power, side band power, upper side band power, lower side band power and modulation index respectively. Prove the following: a. Pc = Pr () c. Pusn = Pisn =) Pr m2 b. Psn = Pr %3D 2+m2 LSB 2+m? (2+m2

• Discussion: 1. Define modulation. 2. Explain why modulation is necessary or desirable. 3. Define: a) The circuit that causes one signal to modulate another, and give the names of the two signals applied to this circuit. b) What is the name given to the new signals generated by the modulation process. 4. Are these statements true or false. Explain your answer a) The carrier frequency is usually lower than the modulating frequency. b) The carrier frequency remains constant during AM. c) The carrier of an AM signal contains information. 5. Explain why the modulation is linear in amplitude modulation system. 6. Explain the reason for making the modulation index (m) less than unity in DSB_LC modulation. 7. What percentage of the total power in an AM signal is in the carrier, one sideband, and both sidebands. 8. Write the trigonometric expression for a sine wave carrier signal.