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Theory of Short-Time Generalized Harmonic Analysis (SGHA) and Its Fundamental Characteristics

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Current digital signal processing was utilized practically by rapid progresses of processing hardwares brought by IC technology and processing algorithms such as FFT and digital filterings. In short, the processings are for modifying any digitalized signals and classified into following two methods; (1) Digital filtering [Parametric processing] and (2) Analysis-Synthesis [Non-parametric processing]. Both methods commonly have a weak point when detecting and removing any locally existing frequency components without any side effects. This difficulty will be removed by applying inharmonic frequency analysis and its fundamental principle was proven by N. Wiener in his publication of "Generalized Harmonic Analysis (GHA)" in 1930. Its application to practical signal processing was achieved by Dr. Y. Hirata in 1994, and the method corresponds to GHA's short time & sequential processing, therefore let us call it Short-time Generalized Harmonic Analysis (SGHA). The authors have been engaged in research of its fundamental characteristics and application to noise reduction, and reported the results in previous AES conventions. This time, SGHA's fundamental theory will be explained together with its characteristics.

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