Shamgar Gurevich

  1. Computing the Matched Filter in Linear Time.

    Authors: Shamgar Gurevich, Ronny Hadani, Alexander Fish, Oded Schwartz, Akbar Sayeed
    Subjects: Information Theory
    Abstract

    A fundamental problem in wireless communication is the time-frequency shift
    (TFS) problem: Find the time-frequency shift of a signal in a noisy
    environment. The shift is the result of time asynchronization of a sender with
    a receiver, and of non-zero speed of a sender with respect to a receiver. A
    classical solution of a discrete analog of the TFS problem is called the
    matched filter algorithm. It uses a pseudo-random waveform S(t) of the length
    p, and its arithmetic complexity is O(p^{2} \cdot log (p)), using fast Fourier
    transform.

  2. Quantization of symplectic vector spaces over finite fields.

    Authors: Shamgar Gurevich, Ronny Hadani
    Subjects: Representation Theory
    Abstract

    In this paper, we construct a quantization functor, associating a complex
    vector space H(V) to a finite dimensional symplectic vector space V over a
    finite field of odd characteristic. As a result, we obtain a canonical model
    for the Weil representation of the symplectic group Sp(V). The main new
    technical result is a proof of a stronger form of the Stone-von Neumann
    property for the Heisenberg group.

  3. Quantization of symplectic vector spaces over finite fields.

    Authors: Shamgar Gurevich, Ronny Hadani
    Subjects: Representation Theory
    Abstract

    In this paper, we construct a quantization functor, associating a complex
    vector space H(V) to a finite dimensional symplectic vector space V over a
    finite field of odd characteristic. As a result, we obtain a canonical model
    for the Weil representation of the symplectic group Sp(V). The main new
    technical result is a proof of a stronger form of the Stone-von Neumann
    property for the Heisenberg group.

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