207 citations · 414 across the 10 of their papers we have counts for
12 papers
Positive operator-valued measures and densely-defined operator-valued frames
Benjamin Robinson, Bill Moran, Doug Cochran
In the signal-processing literature, a frame is a mechanism for performing analysis and reconstruction in a Hilbert space. By contrast, in quantum theory, a positive operator-value…
Bounds on Multiple Sensor Fusion
Bill Moran, Fred Cohen, Zengfu Wang +5
We consider the problem of fusing measurements from multiple sensors, where the sensing regions overlap and data are non-negative---possibly resulting from a count of indistinguish…
Operator-Valued Frames for the Heisenberg Group
Benjamin Robinson, William Moran, Douglas Cochran +1
A classical result of Duffin and Schaeffer gives conditions under which a discrete collection of characters on , restricted to , forms a Hilbert-space…
Applying the Regularization Parameter Estimator by Downsampling Through Relations with The Singular Value Expansion
Rosemary A. Renaut, Michael Horst, Yang Wang +2
The solution, , of the linear system of equations arising from the discretization of an ill-posed integral equation with a square integrable kernel is co…
A Coverage Theory of Bistatic Radar Networks: Worst-Case Intrusion Path and Optimal Deployment
Xiaowen Gong, Junshan Zhang, Douglas Cochran
In this paper, we study optimal radar deployment for intrusion detection, with focus on network coverage. In contrast to the disk-based sensing model in a traditional sensor networ…
Maximum-entropy Surrogation in Network Signal Detection
Douglas Cochran, Stephen D. Howard, Bill Moran +1
Multiple-channel detection is considered in the context of a sensor network where raw data are shared only by nodes that have a common edge in the network graph. Established multip…
An Information-geometric Approach to Sensor Management
Bill Moran, Stephen D. Howard, Douglas Cochran
An information-geometric approach to sensor management is introduced that is based on following geodesic curves in a manifold of possible sensor configurations. This perspective ar…
Optimal Allocation of Interconnecting Links in Cyber-Physical Systems: Interdependence, Cascading Failures and Robustness
Osman Yagan, Dajun Qian, Junshan Zhang +1
We consider a cyber-physical system consisting of two interacting networks, i.e., a cyber-network overlaying a physical-network. It is envisioned that these systems are more vulner…
Conjoining Speeds up Information Diffusion in Overlaying Social-Physical Networks
Osman Yagan, Dajun Qian, Junshan Zhang +1
We study the diffusion of information in an overlaying social-physical network. Specifically, we consider the following set-up: There is a physical information network where inform…
Sensor Management: Past, Present, and Future
Alfred O. Hero, Douglas Cochran
Sensor systems typically operate under resource constraints that prevent the simultaneous use of all resources all of the time. Sensor management becomes relevant when the sensing…
Estimation and Registration on Graphs
Stephen D. Howard, Douglas Cochran, William Moran +1
A statistical framework is introduced for a broad class of problems involving synchronization or registration of data across a sensor network in the presence of noise. This framewo…
Geometry of the Welch Bounds
Somantika Datta, Stephen Howard, Douglas Cochran
A geometric perspective involving Grammian and frame operators is used to derive the entire family of Welch bounds. This perspective unifies a number of observations that have been…