114 citations · 125 across the 8 of their papers we have counts for
8 papers
Random sampling and reconstruction of concentrated signals in a reproducing kernel space
Yaxu Li, Qiyu Sun, Jun Xian
In this paper, we consider (random) sampling of signals concentrated on a bounded Corkscrew domain of a metric measure space, and reconstructing concentrated signals approximat…
Phase Retrieval From the Magnitudes of Affine Linear Measurements
Bing Gao, Qiyu Sun, Yang Wang +1
In this paper, we consider the phase retrieval problem in which one aims to recover a signal from the magnitudes of affine measurements. Let $\{{\mathbf a}_j\}_{j=1}^m \subset {\ma…
Nonlinear frames and sparse reconstructions in Banach spaces
Qiyu Sun, Wai-Shing Tang
In the first part of this paper, we consider nonlinear extension of frame theory by introducing bi-Lipschitz maps between Banach spaces. Our linear model of bi-Lipschitz maps i…
Localized nonlinear functional equations and two sampling problems in signal processing
Qiyu Sun
Let . In this paper, we consider solving a nonlinear functional equation where belong to and has continuous bounded gradient in an…
Recovery of sparsest signals via -minimization
Qiyu Sun
In this paper, it is proved that every -sparse vector can be exactly recovered from the measurement vector …
Wiener's Lemma for Infinite Matrices II
Qiyu Sun
In this paper, we introduce a class of infinite matrices related to the Beurling algebra of periodic functions, and we show that it is an inverse-closed subalgebra of ${\mathcal B}…