(Solved):
Consider a Frequency Modulation (FM) modulator with the following parameters: Modulation index, \( ...
Consider a Frequency Modulation (FM) modulator with the following parameters: Modulation index, \( \mathrm{m}=1.5 \) Modulating signal, \( v_{m}(t)=V_{m} \sin (2 \pi 1000 t) \mathrm{V} \) Unmodulated carrier signal, \( v_{c}(t)=20 \sin (2 \pi 500 k t) \mathrm{V} \) Using the Bessel Table in Appendix I, answer the following questions: (i) Determine the number of sets of the significant side frequencies. (ii) Determine the sideband amplitudes. [2 marks] (iii) Draw the frequency spectrum. [3 marks] (iv) Determine the bandwidth. [3 marks] (v) Determine the bandwidth if the amplitude of the modulating signal increases by a factor of \( 2.65 \) [3 marks] (vi) Assume load resistance \( \mathrm{R}_{\mathrm{L}}=50 \Omega \), determine the unmodulated carrier power. (vii) The total power in the angle modulated wave. [3 marks] [3 marks]