The frequency modulation transfer function provides supplemental measures for the objective evaluation of pitch extractors

We propose to apply the frequency modulation transfer function as a supplemental measure for evaluating pitch extractors' performance. We introduced a new family of time-stretched-pulse for acoustic system analysis (Kawahara and Yatabe, ICASSP2021, called CAPRICEP). Composing a test signal using the CAPRICEP units by Walsh-Hadamard sequence enables simultaneous measurement of the linear-time-invariant, non-linear-time-invariant, and random-time-varying attributes. We applied the proposed analysis method to eighteen pitch extractors and visualized their behavior (represented more than five thousand plots) as a movie. The proposed procedure will be available as open-source tools in our GitHub repository.