Your signal is basically composed of two types of signals that are:
1 - The deterministic ones, like tones or DC
2 - The non-deterministic ones, like true noise

When you take a single snap-shot and perform an FFT, it can sometimes
be difficult to determine whether a "peak" is caused by a
deterministic tone or happens to be a noise component, especially if
your expected tones are of the same order of level as your expected
noise components. A single FFT measurement of a pure white noise
signal typically results in a variation in level (as function of
frequency) of more than 10 dB, so you may see peaks that may be
confusing.

That is where averaging becomes handy. So if you are averaging
correctly (RMS averaging), and your "peak" disappears, it most likely
means that ... it wasn't a tone.

If you want to detect tones that are "almost" embedded in the noise,
you have different options, including:

1 - Use RMS averaging and see if that uncovers your tones

2 - If not, try to perform your FFT on a longer time record. You will
achieve 3 dB improvement in selectivity every time you double your
record length.

3 - (This may not be applicable in your case). If you have a way of
triggering on a "copy" of the signal you are looking for (like if you
want to detect 50-60 Hz power hum, you could trig on the Main power),
you can then use Vector averaging. This will more or less average your
tone signal correctly while removing un-correlated noise the more you
average.

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