I'm writing an algorithm that analyzes results of discrete Fourier transform (DFT). The algorithm should detect amplitude peaks in predefined ranges of frequencies. This is an example of such a peak:
Vertical red lines are range boundaries (left and right) and range center (middle).
What are the best criteria for determining the absence of this peak in a specified range?
For now I'm using standard deviation and comparing it to some calibration value. But it can be easily confused with some high amplitude noise like this:
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