What Frequencies Emerge in an AM Signal with Given Parameters?

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Discussion Overview

The discussion centers around identifying the frequency components present in an amplitude-modulated (AM) signal defined by the equation A(t)=[1+asin(2πfmt)]A0sin(2πfct), with specified parameters for modulation frequency, carrier frequency, and modulation index. The scope includes theoretical understanding and potential numerical calculations related to AM signals.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • Some participants note that the carrier frequency and modulation frequency are present in the AM signal.
  • There is uncertainty regarding whether the question requires numerical answers or just a conceptual understanding.
  • Some participants suggest that numerical answers are likely necessary, as sufficient information is provided to perform calculations.
  • Participants mention the importance of reviewing the theory of amplitude modulation, particularly regarding sidebands and beat frequencies.
  • Clarification is sought on whether the task involves finding the numerical values of the carrier and modulating signal frequencies.
  • It is stated that the values for carrier and modulation frequencies are given in the problem statement, and the focus should be on determining the resulting frequencies in the transmitted signal.

Areas of Agreement / Disagreement

Participants express uncertainty about the requirement for numerical answers, with some suggesting that calculations are necessary while others seek clarification on the task. The discussion remains unresolved regarding the exact expectations of the problem.

Contextual Notes

There is a lack of consensus on whether the problem requires numerical solutions or a conceptual explanation, and participants have not fully explored the implications of sidebands and beat frequencies in their responses.

tai man
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Homework Statement


Which frequency components are present in the amplitude-modulated (AM) signal A(t)=[1+asin(2πfmt)]A0sin(2πfct), where fm= 3.5 kHz, fc = 540 kHz, and a = 0.1?

Homework Equations


A(t)=[1+M(t)]A0sin(2πfct),
where modulating signal M(t) = sin(2πfm t + ∅),
high frequency carrier = A0sin(2πfct),
fc : Carrier frequency
fm : Modulation frequency

The Attempt at a Solution


I wrote down 'Carrier frequency and modulation frequency are presented' at first, but now I am not sure that the question requires a numerical answer or not.
 
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tai man said:
I wrote down 'Carrier frequency and modulation frequency are presented' at first, but now I am not sure that the question requires a numerical answer or not.
It likely requires numerical answers as there is sufficient information given to perform the necessary calculations.

Look up "amplitude modulation" and review the theory. Pay attention to the discussion of sidebands. The concept of beat frequencies applies.
 
gneill said:
It likely requires numerical answers as there is sufficient information given to perform the necessary calculations.

Look up "amplitude modulation" and review the theory. Pay attention to the discussion of sidebands. The concept of beat frequencies applies.
So are we finding the numerical answers of the carrier frequency and the modulating signal frequency?
 
tai man said:
So are we finding the numerical answers of the carrier frequency and the modulating signal frequency?
You're given those values in the problem statement. You are to find the resulting frequencies that appear in the transmitted signal.
 
gneill said:
You're given those values in the problem statement. You are to find the resulting frequencies that appear in the transmitted signal.
OK Thank you so much
 

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