论文标题

非涉及过滤库阶段(RE)构建

Non-iterative Filter Bank Phase (Re)Construction

论文作者

Průša, Zdeněk, Holighaus, Nicki

论文摘要

仅大幅度测量的信号重建是信号处理中的长期存在的问题。在此贡献中,我们提出了一种阶段(RE)构造方法,用于具有均匀拆卸和受控频率变化的滤波器库。建议的过程扩展了最近引入的相梯度堆的集成,并依赖于从高斯滤波器获得的滤波器库系数的相位质量关系。可允许的过滤库被建模为某些广义翻译不变系统的离散化,我们明确地得出了相位磁关系。描述了离散信号的实现,并在一系列真实和合成信号上评估了算法的性能。

Signal reconstruction from magnitude-only measurements presents a long-standing problem in signal processing. In this contribution, we propose a phase (re)construction method for filter banks with uniform decimation and controlled frequency variation. The suggested procedure extends the recently introduced phase-gradient heap integration and relies on a phase-magnitude relationship for filter bank coefficients obtained from Gaussian filters. Admissible filter banks are modeled as the discretization of certain generalized translation-invariant systems, for which we derive the phase-magnitude relationship explicitly. The implementation for discrete signals is described and the performance of the algorithm is evaluated on a range of real and synthetic signals.

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