1. A 16-V, 1000-Hz modulating signal amplitude modulates a 20-V, 20-KHZ carrier. Determine the modulation index, percent

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1 A 16 V 1000 Hz Modulating Signal Amplitude Modulates A 20 V 20 Khz Carrier Determine The Modulation Index Percent 1 (100.31 KiB) Viewed 20 times

1. A 16-V, 1000-Hz modulating signal amplitude modulates a 20-V, 20-KHZ carrier. Determine the modulation index, percent modulation, the upper and lower sideband frequencies, bandwidth of the wave, and write the AM equation. 2. An audio signal described as 30 sin 2π (1800) amplitude modulates a carrier which is described as 65 sin 2T (50 X 10º)t Determine the modulation factor, percent modulation and the upper and lower sideband frequencies and write the AM equation. 3. Given the AM wave equation: eAM = 40 sin (2 x 10°)mt + 12.5 cos 1,990,000mt-12.5 cos 2,010,000mt, calculate the modulation index, percent modulation, amplitude of the modulating signal and the frequency of the carrier and modulating signal. 4. An amplitude-modulated signal contains a total of 6 KW, Calculate the power being transmitted at the carrier and at each of the sidebands when the percent modulation is 100%. 5. The power content of the carrier of an AM wave is 1.5 KW. Determine the power content of each sidebands and the total power transmitted when the carrier is modulated 75%. 6. An AM signal contains 500 W at its carrier and 45 W in each of the sidebands. Determine percent modulation of the AM signal. 7. Determine the %modulation of an AM signal if the maximum voltage is 70 V and the minimum voltage is 10V. 8. The total power radiated by an AM wave modulated 60% by a single wave is 15 KW. The radiated power increases to 19.065KW when another wave simultaneously modulated the carrier. What is the percent modulation of the second wave?

FREQUENCY MODULATION Exercises: 1. A 93.2 MHz carrier is frequency modulated by a 5-KHz sine wave. The resultant FM signal has a frequency deviation of 40 KHz. (a) Find the carrier swing of the FM signal. (b) Determine the highest and lowest frequencies attained by the modulated signal. (c) What is the modulation index of the FM wave (d) Calculate the percent modulation? (e) Determine the bandwidth using Carson's Rule. 2. Calculate the frequency deviation and the carrier swing of a frequency-modulated wave which was produced by modulating a 50.4 MHz carrier. The highest frequency reached by the FM wave is 50.415 MHz. Then calculate the lowest frequency reached by the FM wave. If the frequency of the modulating signal is 5 KHz, what is the bandwidth of the FM wave (use the table of Bessel functions)? Table 5-1 FM Side Frequencies from Bessel Functions # OR ORDER x (CARRIER) (my) J₂ J₁ J₂ J₂ J₁ Js J₂ Jie Ju Ju Jus Ju Jus Ju 0.00 1.00 0.25 0.98 0.12 0.5 0.94 0.24 0.03 1.0 0.77 0.44 0.11 0.02 1.5 0.51 0.56 2.0 0.22 0.58 2.5 -0.05 0.50 0.45 0.22 0.07 0.02 0.31 0.13 0.04 0.01 3.0 -0.26 0.34 0.49 4.0 -0.40 -0.07 0.36 0.43 0.28 0.13 0.05 0.02 5.0 -0.18 -0.33 0.05 0.36 0.39 0.26 6.0 0.15 0.13 0.05 0.02 -0.28-0.24 0.11 0.36 0.36 0.25 0.13 0.06 0.02 0.00 -0.30 -0.17 0.16 0.35 7.0 0.30 8.0 0.17 0.02 0.06 0.03 9.0 -0.09 0.12 0.06 0.03 0.01 0.34 0.23 0.13 0.06 0.23 -0.11 -0.29 -0.10 0.19 0.34 0.32 0.22 0.13 0.24 0.14 -0.18-0.27 -0:06 0.20 0.33 0.30 0.21 0.04 0.25 0.06 -0.22 -0.23 -0.01 0.22 0.31 0.29 -0.22 -0.08 0.20 0.18 -0.07 -0.24 -0.17 0.05 0.23 0.21 0.04 -0.19 -0.12 0.13 0.21 0.03 -0.17 -0.22 Source: E. Cambi, Bessel Functions, Dever Publications, Inc.. New York, 1948. Courtesy of the publisher. 10.0 -0.25 0.05 0.20 0.12 0.06 0.03 0.01 12.0 15.0 -0.01 0.30 0.27 0.20 0.12 0.07 0.03 0.01 -0.09 0.10 0.24 0.28 0.25 0.18 0.12 0.23 0.06 0.01 0.35 0.13 0.03 J₁ || 11 J₂ J₁