The carrier C(t) = 4 COS (2 n 10t ) is the frequency modulated (FM) by the sinusoidal signal m (t) = 8 COS ( 4 000rt ). The sensitivity constant Kf = 5 KHz/V. 1. Determine the modulation index B 2. Determine the bandwidth in each case using Carson's rule 3. If the amplitude of m (t) is decreased by a factor of two, how would your answer to parts one & two change? 4. If the frequency of m (t) is increased by a factor of two, how would your answer to parts one & two change?

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The carrier C(t) = 4 COS ( 2 n 106t ) is the frequency modulated (FM) by the
sinusoidal signal m (t) = 8 COS ( 4 000nt ). The sensitivity constant Kf = 5
KHz/V.
1. Determine the modulation index B
2. Determine the bandwidth in each case using Carson's rule
3. If the amplitude of m (t) is decreased by a factor of two, how would your
answer to parts one & two change?
4. If the frequency of m (t) is increased by a factor of two, how would your
answer to parts one & two change?
5. Write the FM wave with all values for part 1.
6. Draw the FM wave in frequency and time domain for part one
Transcribed Image Text:The carrier C(t) = 4 COS ( 2 n 106t ) is the frequency modulated (FM) by the sinusoidal signal m (t) = 8 COS ( 4 000nt ). The sensitivity constant Kf = 5 KHz/V. 1. Determine the modulation index B 2. Determine the bandwidth in each case using Carson's rule 3. If the amplitude of m (t) is decreased by a factor of two, how would your answer to parts one & two change? 4. If the frequency of m (t) is increased by a factor of two, how would your answer to parts one & two change? 5. Write the FM wave with all values for part 1. 6. Draw the FM wave in frequency and time domain for part one
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