3 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Lower Lipschitz Bounds for Phase Retrieval from Locally Supported Measurements
Mark A. Iwen, Sami Merhi, Michael Perlmutter
In this short note, we consider the worst case noise robustness of any phase retrieval algorithm which aims to reconstruct all nonvanishing vectors (u…
A New Class of Fully Discrete Sparse Fourier Transforms: Faster Stable Implementations with Guarantees
Sami Merhi, Ruochuan Zhang, Mark A. Iwen +1
In this paper we consider Sparse Fourier Transform (SFT) algorithms for approximately computing the best -term approximation of the Discrete Fourier Transform (DFT) $\mathbf{\ha…
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…