Non-iterative Filter Bank Phase (Re)Construction
Abstract
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.
Cite
@article{arxiv.2202.07498,
title = {Non-iterative Filter Bank Phase (Re)Construction},
author = {Zdeněk Průša and Nicki Holighaus},
journal= {arXiv preprint arXiv:2202.07498},
year = {2022}
}