Pitch Tracking using the Generalized Harmonicity Indicator
Darren M. Haddad, Andrew J. Noga, T.K. Sarkar · The Journal of the Acoustical Society of America · 2008
For many audio applications, a process is required to obtain an accurate estimate of the fundamental and harmonics of periodic sections of the audio signal. The Generalized Harmonicity Indicator (GHI) is to determine, assess and track the fundamental and harmonic frequencies of consecutive time segments of a speech signal using the Matrix Pencil (MP) technique[i]. Various methods of fundamental and harmonic frequency tracking have been proposed and developed, but most have been based on other low resolution techniques such as FFT and cepstral analyses. This is opposed to using a super-resolution frequency estimation technique as provided by the MP. The prior art in the area of super-resolution speech fundamental determination consists of the "super resolution pitch determinator" (SRPD)[ii] and the "enhanced SRPD" (eSRPD) methods. Because these prior methods do not explicitly process a spectral representation or decomposition of the input audio signal, they are not considered to be in the same class as the MP GHI, although they provide a baseline for comparing different estimation techniques. [i] Haddad, D.M., Sarkar, T.K., Noga, A.J.; "Speech Compression Using the Matrix Pencil Technique"; IEEE 12th DSP Workshop; Sept. 2006; Page(s):218-221. [ii] Y. Medan, E., Yair, D., Chazan, "Super Resolution Pitch Determination of Speech Signals," IEEE Trans. On Signal Processing, ASSP-39(1):40-48, 1991.