128 citations · 738 across the 58 of their papers we have counts for
6 papers · 2 filters
ROAST: Rapid Orthogonal Approximate Slepian Transform
Zhihui Zhu, Santhosh Karnik, Michael B. Wakin +2
In this paper, we provide a Rapid Orthogonal Approximate Slepian Transform (ROAST) for the discrete vector that one obtains when collecting a finite set of uniform samples from a b…
Time-Limited Toeplitz Operators on Abelian Groups: Applications in Information Theory and Subspace Approximation
Zhihui Zhu, Michael B. Wakin
Toeplitz operators are fundamental and ubiquitous in signal processing and information theory as models for linear, time-invariant (LTI) systems. Due to the fact that any practical…
The Eigenvalue Distribution of Discrete Periodic Time-Frequency Limiting Operators
Zhihui Zhu, Santhosh Karnik, Mark A. Davenport +2
Bandlimiting and timelimiting operators play a fundamental role in analyzing bandlimited signals that are approximately timelimited (or vice versa). In this paper, we consider a ti…
The Global Optimization Geometry of Low-Rank Matrix Optimization
Zhihui Zhu, Qiuwei Li, Gongguo Tang +1
This paper considers general rank-constrained optimization problems that minimize a general objective function over the set of rectangular matrices that have ran…
Atomic Norm Minimization for Modal Analysis from Random and Compressed Samples
Shuang Li, Dehui Yang, Gongguo Tang +1
Modal analysis is the process of estimating a system's modal parameters such as its natural frequencies and mode shapes. One application of modal analysis is in structural health m…
Global Optimality in Low-rank Matrix Optimization
Zhihui Zhu, Qiuwei Li, Gongguo Tang +1
This paper considers the minimization of a general objective function over the set of rectangular matrices that have rank at most . To reduce the computationa…