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math.NA2017★ 3 cited
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…
math.NA2017
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…