1. 清华大学
2. 清华大学 北京
纸质出版:1988
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[1]徐雷,阎平凡,常迥.信号延拓Fourier变换的零点集与信号重建[J].电子学报,1988(01):12-17.
Xu Lei, Yan Ping-fan, Chang Tong. Zero Set of Extended Fourier Transform and Signal Reconstruction[J]. Acta Electronica Sinica, 1988, (1): 12-17.
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。
This paper has analysed several important zero subsets of the extended FT of finite length signal. With Hadamard factorization theorem
several theorem are developed to expose the relationship between these zero subsets and FT spectral magnitude or phase. The results for reconstruction of discrete finite length signal from FT spectral magnitude or phase are further extended for that of continuous signal
and both are expressed in a unified form by the zero set of the extended FT. In addition
a new result for reconstruction of mixture phase signal from FT spectral magnitude is obtained.
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