3 citations · 7 across the 5 of their papers we have counts for
6 papers
Phase Retrieval for via the Provably Accurate and Noise Robust Numerical Inversion of Spectrogram Measurements
Mark Iwen, Michael Perlmutter, Nada Sissouno +1
In this paper, we focus on the approximation of smooth functions , up to an unresolvable global phase ambiguity, from a finite set of Short Time…
Inverting Spectrogram Measurements via Aliased Wigner Distribution Deconvolution and Angular Synchronization
Michael Perlmutter, Sami Merhi, Aditya Viswanathan +1
We propose a two-step approach for reconstructing a signal from subsampled short-time Fourier transform magnitude (spectogram) measurements: First, we use…
Recovery of Compactly Supported Functions from Spectrogram Measurements via Lifting
Sami Merhi, Aditya Viswanathan, Mark Iwen
A novel phase retrieval method, motivated by ptychographic imaging, is proposed for the approximate recovery of a compactly supported specimen function $f:\mathbb{R}\rightarrow\mat…
Technical Report: Improved Fourier Reconstruction using Jump Information with Applications to MRI
Jade Larriva-Latt, Angela Morrison, Alison Radgowski +3
Certain applications such as Magnetic Resonance Imaging (MRI) require the reconstruction of functions from Fourier spectral data. When the underlying functions are piecewise-smooth…
Fast Phase Retrieval from Local Correlation Measurements
Mark Iwen, Aditya Viswanathan, Yang Wang
We develop a fast phase retrieval method which can utilize a large class of local phaseless correlation-based measurements in order to recover a given signal ${\bf x} \in \mathbb{C…
Robust Sparse Phase Retrieval Made Easy
Mark Iwen, Aditya Viswanathan, Yang Wang
In this short note we propose a simple two-stage sparse phase retrieval strategy that uses a near-optimal number of measurements, and is both computationally efficient and robust t…