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本文分析了有限时宽信号的延拓FT的若干重要零点子集,通过Hadamard分解定理,给出了零点子集与FT的幅谱、相谱间关系的若干定理。将幅谱、相谱重建离散有限长信号的结果推广于连续场合,并用延拓FT的零点集统一表述。文中还给出了由幅谱重建混合相位有限长信号的新结果。
In this paper, we analyze several important zero subsets of the extended FT of finite-duration signals. By the Hadamard decomposition theorem, we give some theorems about the relations between the zero-subset and the spectra of FT. The results of spectrum and phase spectrum reconstructing discrete finite-length signals are extended to continuous cases, and the zero-point sets of continuation FT are unified. In this paper, new results of spectrum reconstruction of finite-length mixed-phase signal are given.