33 citations · 84 across the 19 of their papers we have counts for
19 papers
Iterative Polynomial Approximation Algorithms for Inverse Graph Filters
Cheng Cheng, Qiyu Sun, Cong Zheng
Chebyshev interpolation polynomials exhibit the exponential approximation property to analytic functions on a cube. Based on the Chebyshev interpolation polynomial approximation, w…
Learning Nonlinear Couplings in Network of Agents from a Single Sample Trajectory
Arash Amini, Qiyu Sun, Nader Motee
We consider a class of stochastic dynamical networks whose governing dynamics can be modeled using a coupling function. It is shown that the dynamics of such networks can generate…
Graph Fourier transforms on directed product graphs
Cheng Cheng, Yang Chen, Jeon Yu Lee +1
Graph Fourier transform (GFT) is one of the fundamental tools in graph signal processing to decompose graph signals into different frequency components and to represent graph signa…
Graph Fourier transform based on singular value decomposition of directed Laplacian
Yang Chen, Cheng Cheng, Qiyu Sun
Graph Fourier transform (GFT) is a fundamental concept in graph signal processing. In this paper, based on singular value decomposition of Laplacian, we introduce a novel definitio…
Wiener filters on graphs and distributed polynomial approximation algorithms
Cong Zheng, Cheng Cheng, Qiyu Sun
In this paper, we consider Wiener filters to reconstruct deterministic and (wide-band) stationary graph signals from their observations corrupted by random noises, and we propose d…
Distributed algorithms to determine eigenvectors of matrices on spatially distributed networks
Nazar Emirov, Cheng Cheng, Qiyu Sun +1
Eigenvectors of matrices on a network have been used for understanding spectral clustering and influence of a vertex. For matrices with small geodesic-width, we propose a distribut…
Preconditioned Gradient Descent Algorithm for Inverse Filtering on Spatially Distributed Networks
Cheng Cheng, Nazar Emirov, Qiyu Sun
Graph filters and their inverses have been widely used in denoising, smoothing, sampling, interpolating and learning. Implementation of an inverse filtering procedure on spatially…
Polynomial graph filter of multiple shifts and distributed implementation of inverse filtering
Nazar Emirov, Cheng Cheng, Junzheng Jiang +1
Polynomial graph filters and their inverses play important roles in graph signal processing. An advantage of polynomial graph filters is that they can be implemented in a distribut…
Phase retrieval of complex and vector-valued functions
Yang Chen, Cheng Cheng, Qiyu Sun
The phase retrieval problem in the classical setting is to reconstruct real/complex functions from the magnitudes of their Fourier/frame measurements. In this paper, we consider a…
Space-Time Sampling for Network Observability
Hossein K. Mousavi, Qiyu Sun, Nader Motee
Designing sparse sampling strategies is one of the important components in having resilient estimation and control in networked systems as they make network design problems more co…
Stable Phaseless Sampling and Reconstruction of Real-Valued Signals with Finite Rate of Innovations
Cheng Cheng, Qiyu Sun
A spatial signal is defined by its evaluations on the whole domain. In this paper, we consider stable reconstruction of real-valued signals with finite rate of innovations (FRI), u…
Nonsubsampled Graph Filter Banks and Distributed Implementation
Junzheng Jiang, Cheng Cheng, Qiyu Sun
In this paper, we consider nonsubsampled graph filter banks (NSGFBs) to process data on a graph in a distributed manner. Given an analysis filter bank with small bandwidth, we prop…
Polynomial control on stability, inversion and powers of matrices on simple graphs
Chang Eon Shin, Qiyu Sun
Spatially distributed networks of large size arise in a variety of science and engineering problems, such as wireless sensor networks and smart power grids. Most of their features…
Phaseless Sampling and Reconstruction of Real-Valued Signals in Shift-Invariant Spaces
Cheng Cheng, Junzheng Jiang, Qiyu Sun
Sampling in shift-invariant spaces is a realistic model for signals with smooth spectrum. In this paper, we consider phaseless sampling and reconstruction of real-valued signals in…
Phase retrieval from multiple-window short-time Fourier measurements
Lan Li, Cheng Cheng, Deguang Han +2
In this paper, we introduce two symmetric directed graphs depending on supports of signals and windows, and we show that the connectivity of those graphs provides either necessary…
Phase Retrieval of Real-Valued Signals in a Shift-Invariant Space
Yang Chen, Cheng Cheng, Qiyu Sun +1
Phase retrieval arises in various fields of science and engineering and it is well studied in a finite-dimensional setting. In this paper, we consider an infinite-dimensional phase…
Spatially Distributed Sampling and Reconstruction
Cheng Cheng, Yingchun Jiang, Qiyu Sun
A spatially distributed system contains a large amount of agents with limited sensing, data processing, and communication capabilities. Recent technological advances have opened up…
Reconstruction of sparse wavelet signals from partial Fourier measurements
Yang Chen, Cheng Cheng, Qiyu Sun
In this paper, we show that high-dimensional sparse wavelet signals of finite levels can be constructed from their partial Fourier measurements on a deterministic sampling set with…
Sampling and Galerkin reconstruction in reproducing kernel spaces
Cheng Cheng, Yingchun Jiang, Qiyu Sun
In this paper, we consider sampling in a reproducing kernel subspace of . We introduce a pre-reconstruction operator associated with a sampling scheme and propose a Galerkin r…