Learn About Sine Wave Separation and Sound Processing

AI Thread Summary
Sound processing involves determining individual frequencies and amplitudes within a sound signal using mathematical techniques. The Fourier Transform is a key method for analyzing complex waveforms, allowing users to identify distinct frequencies in a combined signal. By applying simulation software like MULTI-SIM or Pspice, users can visualize the resulting waveforms and their corresponding frequency components. This process reveals how multiple sine waves combine and enables the extraction of individual frequency data. Understanding these concepts is essential for anyone looking to delve deeper into sound analysis and processing.
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.
 
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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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