利用相位谱信息重构信号唯一性的研究

On the Uniquaness of Signal Reconstruction Using Phasa Information Only

本文讨论了信号频域相位与零点的关系,着重研究了频域非重零点对信号重构唯一性的影响。证明了仅利用相位信息唯一重构原信号的充要条件,并进一步给出了仅用频域有限样本点处相位信息重构原信号的唯一性定理。

In this paper the relation between phase and zeros in frequency domain is given, special attention is paid to the influence of simple real zeros on the uniqueness of reconstruction. A sufficient and necessary condition for unique reconstruction is proved. Furthermore, conditions for unique reconstruction of a finite-length signal using only finite number phase samples are consideid.