Separation of adjacent frequency components in generalized harmonic analysis (GHA)

Generalized harmonic analysis (GHA) is applicable to any unstationary signals, thanks to the principle that it represents any signals using sinusoids in inharmonic relationship. However its fundamental characteristics are unknown yet. The authors tried to clarify the limit of its frequency resolution using two adjacent sinusoids. Consequently, it was found that the limit is determined plural factors such as analyzing window, frequency difference between two sinusoids and their respective initial phases. Rectangular window is most profitable for GHA. And the averaged minimum frequency resolution is 1.11 times larger than the fundamental analyzing frequency given as the reciprocal of window length.