Consider a FM modulator with modulation index m = 5, modulating signal Vm = 2 sin(2+5kt),...
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Consider a FM modulator with modulation index m = 5, modulating signal Vm = 2 sin(2+5kt), and an unmodulated carrier frequency f. = 400 kHz, answer the following questions: (i) Number of sets of significant sidebands Sideband amplitudes 0.00 0.25 0.5 1.0 1.5 2.0 2.41 2.5 3.0 4.0 5.0 5.53 6.0 7.0 8.0 8.65 9.0 10.0 12.0 (iii) [Hint: refer to Bessel Table] Modulation index Draw the output frequency spectrum Carrier 1 1.00 2 3 4 5 0.98 0.12 0.94 0.24 0.03 0.77 0.44 0.11 0.02 0.51 0.56 0.23 0.06 0.01 0.22 0.58 0.35 0.13 0.03 0.52 0.43 0.20 0.06 0.02 6 Sideband 7 0 -0.05 0.50 0.45 0.22 -0.26 0.34 0.49 0.31 -0.40 -0.07 0.36 0.43 -0.18-0.33 0.05 0.36 0.39 0.26 0 -0.34 -0.13 0.25 0.40 0.32 0.15-0.28 -0.24 0.11 0.36 0.36 0.25 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.17 0.23 -0.11 -0.29 -0.10 0.19 0.34 0 0.27 0.06 -0.24 -0.23 0.03 0.26 0.25 0.14 -0.18-0.27 -0.06 0.20 -0.09 -0.25 0.04 0.25 0.05 -0.22 -0.08 89 10 11 0.07 0.02 0.01 0.13 0.04 0.01 0.28 0.13 0.05 0.02 0.13 0.05 0.02 0.19 Bessel Table 0.09 0.03 0.01 0.13 0.06 0.02 0.23 0.13 0.06 0.02 12 [2 marks] [9 marks] [9 marks] 13 14 15 16 0.32 0.22 0.13 0.06 0.03 0.34 0.28 0.18 0.10 0.05 0.02 0.33 0.31 0.21 0.12 0.06 0.03 0.01 0.06 -0.22 -0.23 -0.01 0.22 0.32 0.29 0.21 0.12 0.06 0.03 0.01 0.20 0.18 -0.07 -0.24 -0.17 0.05 0.23 0.30 0.27 0.20 0.12 0.07 0.03 0.01 Consider a FM modulator with modulation index m = 5, modulating signal Vm = 2 sin(2+5kt), and an unmodulated carrier frequency f. = 400 kHz, answer the following questions: (i) Number of sets of significant sidebands Sideband amplitudes 0.00 0.25 0.5 1.0 1.5 2.0 2.41 2.5 3.0 4.0 5.0 5.53 6.0 7.0 8.0 8.65 9.0 10.0 12.0 (iii) [Hint: refer to Bessel Table] Modulation index Draw the output frequency spectrum Carrier 1 1.00 2 3 4 5 0.98 0.12 0.94 0.24 0.03 0.77 0.44 0.11 0.02 0.51 0.56 0.23 0.06 0.01 0.22 0.58 0.35 0.13 0.03 0.52 0.43 0.20 0.06 0.02 6 Sideband 7 0 -0.05 0.50 0.45 0.22 -0.26 0.34 0.49 0.31 -0.40 -0.07 0.36 0.43 -0.18-0.33 0.05 0.36 0.39 0.26 0 -0.34 -0.13 0.25 0.40 0.32 0.15-0.28 -0.24 0.11 0.36 0.36 0.25 0.30 0.00 -0.30 -0.17 0.16 0.35 0.34 0.17 0.23 -0.11 -0.29 -0.10 0.19 0.34 0 0.27 0.06 -0.24 -0.23 0.03 0.26 0.25 0.14 -0.18-0.27 -0.06 0.20 -0.09 -0.25 0.04 0.25 0.05 -0.22 -0.08 89 10 11 0.07 0.02 0.01 0.13 0.04 0.01 0.28 0.13 0.05 0.02 0.13 0.05 0.02 0.19 Bessel Table 0.09 0.03 0.01 0.13 0.06 0.02 0.23 0.13 0.06 0.02 12 [2 marks] [9 marks] [9 marks] 13 14 15 16 0.32 0.22 0.13 0.06 0.03 0.34 0.28 0.18 0.10 0.05 0.02 0.33 0.31 0.21 0.12 0.06 0.03 0.01 0.06 -0.22 -0.23 -0.01 0.22 0.32 0.29 0.21 0.12 0.06 0.03 0.01 0.20 0.18 -0.07 -0.24 -0.17 0.05 0.23 0.30 0.27 0.20 0.12 0.07 0.03 0.01
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