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.
翻译:从量度测量进行信号重建,是信号处理的一个长期问题。在这个贡献中,我们提议了一种阶段(再)建造方法,用于具有统一毁灭和受控频率变异的过滤库。建议的程序扩大了最近推出的阶段级梯式集成,并依靠从高西亚过滤器获得的过滤库系数的阶段-放大关系。可允许的过滤库建模为某些通用翻译变异系统离散化,我们为此明确得出了阶段-放大关系。对离散信号的实施进行了描述,对算法的性能进行了一系列真实和合成信号的评估。