Test a gas stove at, e.g., five different powers. Record the acoustic signal and the sound pressure level [this latter will not be a precise value, but their ratios will be]. For the acoustic signal, you can use, e.g., the Spectroid or Spectrogram app (there are a lot of apps out there to do FFT on the microphone signal). For the sound pressure level, you can use, e.g., the Andro sensor app.
need recommendations for above statement..
The acoustic method for the detection of gas stove output level seems fine and you can proceed in this direction using the suitable microphone and app for recording and analysis. But as mentioned by @Anders Buen the purpose of doing this is not clear to me as well. If you really want to estimate the output level of gas stove then there are other simple ways.
I just want to get output of it and also 2-3 pages of of its diagram .
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