AM waveform in frequency domain

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Discussion Overview

The discussion revolves around sketching the frequency domain representation of an amplitude modulation (AM) waveform described by the equation 8sin(2pi500kt - 4cos(2pi530kt) + 4cos(2pi(470kt). Participants are examining the total bandwidth and frequency components of the waveform, seeking clarification on specific terms and the correctness of the frequency domain sketch.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant requests feedback on their frequency domain sketch of the AM waveform and asks if it is correct.
  • Another participant questions the meaning of the "k" in the cosine terms, indicating uncertainty about its definition.
  • A different participant suggests that "k" might be a scaling factor and proposes that the frequencies should be labeled as 500k, 503k, etc., while questioning if "k" was intended to represent a factor of 10^3.
  • There is a discussion about whether the vertical axis of the sketch should represent peak voltage or RMS voltage, with a participant suggesting to refer back to notes for confirmation.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the meaning of "k" and the appropriate labeling of frequencies. There is no consensus on the correctness of the frequency domain sketch or the proper representation of voltage on the vertical axis.

Contextual Notes

Limitations include the unclear definition of "k" and the lack of information on whether peak or RMS voltage should be used in the sketch. The discussion does not resolve these uncertainties.

fran1942
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Hello, I need to sketch the frequency domain for the following AM waveform showing total bandwidth and frequency.
8sin(2pi500kt - 4cos(2pi530kt) + 4cos(2pi(470kt)

I have attached an attempt I have made.
Does anyone know if I have this correct or not ?

Thanks kindly for any input.
 

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What does that "k" mean in cos(2pi530kt)?
 
sorry I don't know what that is referring to. We were not told.

Do you think I have the frequency domain sketch correct based on what we do know?

Thanks for your help.
 
Sorry, I can't give an authoritative answer. But I'm wondering whether you might be meant to label the frequencies as 500k, 503k, etc., that k seems to be some scaling factor. Are you sure it's not meant to be x103 and you have changed it to a k?

Also, perhaps someone else can confirm that the vertical axis is okay as the peak value. I'm just wondering whether it should be RMS. Can you refer back to an example in your notes to confirm that peak voltage is what you need to use here? (I've forgotten.) https://www.physicsforums.com/images/icons/icon9.gif
 
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