Michael Robinson

  1. Multipath-dominant, pulsed doppler analysis of rotating blades.

    Authors: Michael Robinson
    Subjects: and Science, Computational Engineering, Finance
    Abstract

    We present a novel angular fingerprinting algorithm for detecting changes in
    the direction of rotation of a target with a monostatic, stationary sonar
    platform. Unlike other approaches, we assume that the target's centroid is
    stationary, and exploit doppler multipath signals to resolve the otherwise
    unavoidable ambiguities that arise. Since the algorithm is based on an
    underlying differential topological theory, it is highly robust to distortions
    in the collected data.

  2. Euler Calculus with Applications to Signals and Sensing.

    Authors: Michael Robinson, Justin Curry, Robert Ghrist
    Subjects: Algebraic Topology
    Abstract

    This article surveys the Euler calculus - an integral calculus based on Euler
    characteristic - and its applications to data, sensing, networks, and imaging.

  3. The cohomology of lambda-rings and K-theory.

    Authors: Michael Robinson
    Subjects: K-Theory and Homology
    Abstract

    We introduce the Andre-Quillen cohomology of lambda-rings and Psi-rings, this
    is different to the lambda-ring cohomology defined by Yau in 2005. We show that
    there is a natural transformation connecting the cohomology of the K-theory of
    spheres to the homotopy groups of spheres.

Syndicate content