Is a limit of detection published for the AudioMoth? This number was really important in instrumental analysis. I believe it is defined as three times the standard deviation of ambient measurement above the mean.
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I think someone made a detailed study of this within the last year (after all of the above comments), and that it might be available on GitHub or somewhere similar - does anyone recall the citation I'm referencing? I can't refind it!
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I am not sure that Limit of Detection is an appropriate measure when trying to detect impulsive signals against a noise background. Detectability is usually considered to be based on S/N ratio but even that is a tricky measure in acoustics. Noise level could be the broad-band noise level across the full recording spectrum - which is relevant if trying to detect signals in the time domain - e.g for a zero-crossing detector, but detectability in a sonagram is different because you are looking at signal against a noise level within an FFT frequency band and so consideration of noise/sqrt(Hz) would be a better measure. But then for structured signals such as bat calls detection is not limited to a single frequency-bin but is distributed across the bandwidth of the signal. Couple all of that with the fact of having an uncalibrated microphone with a sensitivity that varies with frequency and it is clear that there is no simple measure which can define a limit of detection when applied to recording animals.
No, I haven't come across that measure. I'll look into it.