Algorithm to determine fundamental frequency from potential harmonics

Question

I am attempting to extract a fundamental frequency from a sound source. maybe someone is singing A3 into the microphone, so I want to be detecting ~ 110Hz

my appr

Answer 1

A Cepstum (or Cepstral analysis) and Harmonic Product Spectrum are two well studied algorithms that estimate the exciter frequency from an overtone series.

If the sequences of overtones are appropriately spaced, than a Cepstrum (FFT of the log of the FFT peaks) may be useful in estimating the period of the frequency spacing, which can then be used to estimate the frequency.

The Harmonic Product Spectrum basically compares the spectral peaks with nth multiple copies of themselves by decimating the spectrum by multiple low integer ratios and overlapping them.