Frequency Modulation: Amplitude, Max/Min Freq, Change Rate

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SUMMARY

The discussion centers on frequency modulation (FM) using a sinusoidal carrier wave with an amplitude of 12 volts and a frequency of 600 kHz. The frequency of the carrier wave changes by 25 kHz per volt, resulting in a maximum frequency of 600 kHz + (25 kHz * 2 volts) = 650 kHz and a minimum frequency of 600 kHz - (25 kHz * 2 volts) = 550 kHz. The amplitude remains constant at 12 volts during frequency modulation. The frequency of the carrier wave changes from maximum to minimum and back to maximum at a rate determined by the information signal frequency of 3 kHz, resulting in a frequency deviation of 3 kHz.

PREREQUISITES
  • Understanding of frequency modulation principles
  • Knowledge of sinusoidal waveforms and their properties
  • Familiarity with amplitude and frequency calculations
  • Basic grasp of signal transmission concepts
NEXT STEPS
  • Study the mathematical principles of frequency modulation
  • Learn about the impact of amplitude on FM signals
  • Explore the relationship between frequency deviation and modulation index
  • Investigate the applications of FM in communication systems
USEFUL FOR

Electronics engineers, communication system designers, and students studying signal processing will benefit from this discussion on frequency modulation and its characteristics.

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A sinusodial carrier wave has amplitude 12 volts and frequency 600 kHz.
The frequency of the carrier wave changes by 25 kHz per volt.
The carrier wave is to be used for the transmission of a signal of frequency 3 kHz and amplitude 2 volts.

For the frequency modulated carrier wave, state

1) the amplitude
2) the maximum frequency
3) the minimum frequency
4) the number of times per second that the frequency of the carrier wave changes from the maximum to minimum and then back to maximum value.
___________________________________________________________________________


f=1/T



1) 12volts i believe since carrier wave doesn't change amplitude in frequency modulation
2) I believe it should occur when the information signal has maximum displacement b/c disp of the signal is varying in synchrony with frequency. But i don't know how to fine it
3)Maybe at minimum disp of signal.
4)No idea at all.
___________________________________________________________________________

PLEASE INCLUDE EXPLANATORY NOTES WITH ANSWERS.
 
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