What Is the RMS Amplitude of a Sinusoid in a Noisy Environment?

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Discussion Overview

The discussion revolves around calculating the RMS amplitude of a sinusoidal signal in the presence of noise, specifically focusing on the relationship between signal-to-noise ratio (SNR) and RMS values. The context is homework-related, as participants seek clarification on the problem and its solution.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant presents a question regarding the RMS amplitude of a sinusoid given the RMS value of noise and the SNR in dB.
  • Another participant confirms the calculation of SNR using the provided values, suggesting the initial answer is correct.
  • There is a suggestion that the answer might be exactly 10, indicating potential confusion or a missing relationship in the calculations.
  • A participant expresses uncertainty about the relationship involved in the problem, indicating they are new to the topic and seeking further assistance.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct answer or the relationship needed to solve the problem, indicating ongoing uncertainty and differing interpretations of the question.

Contextual Notes

Participants mention a potential missing relationship in the calculations, but do not specify what that might be. There is also ambiguity regarding whether the problem is strictly homework-related or if it involves broader theoretical concepts.

TomUIC
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Q: A single sinusoidal signal is found in a large amount of noise. If the RMS value of the noise is 0.5 volts and the SNR is 10 dB, what is the RMS amplitude of the sinusoid?

I've related the question to the following equation: SNR=20log(singal/noise)dB

My answer is 1.58 volts, BUT I'm not entirely sure if that is what they are asking for. Just looking for a little guidance on the question.
 
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Hi TomUIC. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

20.log(1.58/0.5) = 10 dB so your answer looks right. :smile:
 
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Hmmmm ... the answer is exactly 10 ... homework?
 
Windadct said:
Hmmmm ... the answer is exactly 10 ... homework?

Yes homework, what relationship am I missing? I'm new to this area so any help is appreciated.
 

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