Learn About Sine Wave Separation and Sound Processing

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Discussion Overview

The discussion focuses on understanding sound processing, specifically the mathematical methods used to identify individual frequencies and amplitudes within a composite sound signal. Participants explore concepts related to Fourier Analysis and practical applications using simulation software.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant expresses a desire to learn how to mathematically determine individual frequencies and amplitudes from a sound signal containing multiple tones.
  • Another participant suggests searching for "Fourier Analysis" or "Fourier Transform" as relevant topics for understanding the problem.
  • A different participant provides a link to a resource that may help in understanding the mathematical modeling of audio for pitch shifting.
  • One participant recommends using simulation software like MULTI-SIM or Pspice to visualize the addition of sine waves and to perform a Fourier Transform to identify the individual frequencies and amplitudes.

Areas of Agreement / Disagreement

Participants generally agree on the relevance of Fourier Analysis for the topic, but there is no consensus on the best approach or tools for learning and application, as multiple suggestions are provided.

Contextual Notes

The discussion includes various approaches to sound processing and may depend on the participants' familiarity with mathematical concepts and software tools. There are no resolved mathematical steps or definitions provided.

Who May Find This Useful

Individuals interested in sound processing, audio engineering, or those seeking to understand the mathematical foundations of frequency analysis may find this discussion beneficial.

EebamXela
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Please forgive me, I don't really know how to properly ask my question, so I'll just do my best.

I want to learn how sound is processed. More specifically what math goes into figuring out what individual frequencies are within a single sound signal. Like if I had a recording of say 5 separate tones, how could I mathematically determine the individual frequencies and amplitudes?

I'm not sure what to even search for on google to learn more. Can someone please point me in the right direction? Thank you.
 
Last edited:
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You should Google "Fourier Analysis" or "Fourier Transform." It sounds like that its what you are looking for.
 
EebamXela said:
Please forgive me, I don't really know how to properly ask my question, so I'll just do my best.

I want to learn how sound is processed. More specifically what math goes into figuring out what individual frequencies are within a single sound signal. Like if I had a recording of say 5 separate tones, how could I mathematically determine the individual frequencies and amplitudes?

I'm not sure what to even search for on google to learn more. Can someone please point me in the right direction? Thank you.


It isn't easy. Here is a start.

http://dsp.stackexchange.com/questions/370/what-mathematical-model-of-audio-can-make-possible-pitch-shifting-of-individual
 
EebamXela said:
Please forgive me, I don't really know how to properly ask my question, so I'll just do my best.

I want to learn how sound is processed. More specifically what math goes into figuring out what individual frequencies are within a single sound signal. Like if I had a recording of say 5 separate tones, how could I mathematically determine the individual frequencies and amplitudes?

I'm not sure what to even search for on google to learn more. Can someone please point me in the right direction? Thank you.

Use MULTI-SIM or Pspice simulation software. Add 5 Sine waves with 5 different frequencies with 5 different amplitudes, you'll get one very weird looking wave. Run Fourier Transform of Multi-Sim on the weird wave pattern. The result will show 5 separate spikes on frequency axis with 5 different heights. They are the frequencies and amplitudes you used when added them together.

Your Fourier Math on paper will do the same thing.
 

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