Douglas Cochran

  1. An Information-geometric Approach to Sensor Management.

    Authors: Douglas Cochran, Stephen D. Howard, Bill Moran
    Subjects: Applications
    Abstract

    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 arises by observing that, given a parameter
    estimation problem to be addressed through management of sensor assets, any
    particular sensor configuration corresponds to a Riemannian metric on the
    parameter manifold. With this perspective, managing sensors involves navigation
    on the space of all Riemannian metrics on the parameter manifold, which is
    itself a Riemannian manifold.

  2. Maximum-entropy Surrogation in Network Signal Detection.

    Authors: Douglas Cochran, Stephen D. Howard, Bill Moran, Harry A. Schmitt
    Subjects: Applications
    Abstract

    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 multiple-channel detectors, such as those based on
    generalized coherence or multiple coherence, use pairwise measurements from
    every pair of sensors in the network and are thus directly applicable only to
    networks whose graphs are completely connected.

  3. Sensor Management: Past, Present, and Future.

    Authors: Douglas Cochran, Alfred O. Hero III
    Subjects: Applications
    Abstract

    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 system has the capability of actively managing these
    resources; i.e., changing its operating configuration during deployment in
    reaction to previous measurements. Examples of systems in which sensor
    management is currently used or is likely to be used in the near future include
    autonomous robots, surveillance and reconnaissance networks, and waveform-agile
    radars.

  4. Estimation and Registration on Graphs.

    Authors: Douglas Cochran, Stephen D. Howard, William Moran, Frederick R. Cohen
    Subjects: Networking and Internet Architecture
    Abstract

    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 framework enables an estimation-theoretic approach to the design
    and characterization of synchronization algorithms. The Fisher information is
    expressed in terms of the distribution of the measurement noise and standard
    mathematical descriptors of the network's graph structure for several important
    cases.

  5. Geometry of the Welch Bounds.

    Authors: Somantika Datta, Stephen Howard, Douglas Cochran
    Subjects: Information Theory
    Abstract

    A geometric perspective is used to derive the entire family of Welch bounds.
    This perspective unifies a number of observations that have been made regarding
    tightness of the bounds and their connections to symmetric k-tensors, tight
    frames, homogeneous polynomials, and t- designs.

  6. Geometry of the Welch Bounds.

    Authors: Somantika Datta, Stephen Howard, Douglas Cochran
    Subjects: Information Theory
    Abstract

    A geometric perspective is used to derive the entire family of Welch bounds.
    This perspective unifies a number of observations that have been made regarding
    tightness of the bounds and their connections to symmetric k-tensors, tight
    frames, homogeneous polynomials, and t- designs.

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