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

In summary, for a frequency modulated carrier wave with an amplitude of 12 volts and frequency of 600 kHz, the amplitude does not change during frequency modulation. The maximum frequency occurs when the information signal has maximum displacement, but the exact value cannot be determined without more information. The minimum frequency occurs when the information signal has minimum displacement. The number of times per second that the frequency of the carrier wave changes from maximum to minimum and back to maximum value cannot be determined without more information.
  • #1
ay2k
29
0
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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  • #2
excuse me...anything wrong?
 

1. What is frequency modulation (FM)?

Frequency modulation is a method of encoding information onto a carrier wave by varying the frequency of the wave. In FM, the amplitude of the wave remains constant while the frequency changes according to the modulating signal.

2. How does amplitude affect FM?

In FM, the amplitude of the carrier wave remains constant, regardless of the frequency changes caused by the modulating signal. This means that the amplitude does not carry any information and can be used to increase the signal-to-noise ratio of the transmission.

3. What is the maximum and minimum frequency in FM?

The maximum and minimum frequency in FM refer to the highest and lowest frequencies that the carrier wave can reach during modulation. The maximum frequency is determined by the amplitude of the modulating signal, while the minimum frequency is determined by the frequency deviation of the modulating signal.

4. What is the change rate in FM?

The change rate in FM refers to how quickly the frequency of the carrier wave changes in response to the modulating signal. It is typically measured in hertz per second (Hz/s) and is directly related to the frequency deviation of the modulating signal.

5. What are some applications of FM?

FM is commonly used in radio broadcasting, where the varying frequency of the carrier wave allows for a higher quality audio signal to be transmitted over long distances. It is also used in telecommunications, radar systems, and music synthesizers.

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