時間関数の継続度合におよぼす振幅・位相スペクトル特性の効果

概要

論文の詳細を見る
With a view to getting better insights into the spread of a time function as correlated to its Fourier spectral properties, the study begins with preparatory recognition of the necessary and sufficient role of three factors (frequency-axis distribution of amplitude, amplitude gradient, and phase gradient) for specifying the time-axis RMS duration. Then the succeeding examinations include negative tendency proper to the sign of phase gradient derived for a general class of causal time functions, effects of different positioning of additional zero points on the right-half complex frequency plane with the amplitude spectrum left unchanged, those of sinusoidal peak-to-trough modification done primarily toward amplitude spectra, and also what the so-called uncertainty principle implies for oscillatory time functions. Strict formula expression in the evaluation of related definite integrals features the current presentation.
一般社団法人日本建築学会の論文
2004-03-20