Signal induced breaking of universal noise statistical properties

ORAL

Abstract

We consider the Z-transform of a random time series, extension to the complex plane of the dicrete time Fourier transform. Regardless of the specific characteristics of the random signal itself, the singularities of the Z-transform are universally distributed. Addition of a regular signal to the random one locally perturbs this distribution. Deviations from universality therefore indicate the presence of regular signals even when low signal to noise ratio prevents their direct detection. We present examples suggesting that these properties can lead to practical applications such as the detection of faint transients in heavy noise.

–

Authors

  • Luca Perotti

    Texas Southern University

  • Allan Headley

    Texas A\&M, Sam Houston State University, Southern Methodist University, Dept of Physics, Texas Tech University, Depts of Cell Physiology and Molecular Biophysics, Texas Tech University HSC, Texas Tech University, Lee College, Texas A\&M University, Texas A\&M Univ.-Commerce, University of North Texas, Texas A\&M University and Princeton University, Princeton University, The University of North Texas, University of Texas at Austin, Center for High Energy Density Science, University of Texas at Austin, Institute for Fusion Studies, University of Texas at Austin, UT Arlington, Stephen F. Austin State University, Texas A&M University--Commerce, University of Texas at Dallas, University of Texas at El Paso, Department of Physics, The University of Texas at Dallas, Department of Physics and Astronomy, Francis Marion University, University of Texas at Brownsville, Texas State University--San Marcos, UTSA, Northwestern University, Rice University, Abilene Christian University, Texas Southern University, Department of Physics, Southern Methodist University, Dallas, Texas A\&M University Cyclotron Institute, Sciprint.org, University of Texas MD Anderson Cancer Center, University of Texas at San Antonio, Paschal High School, Fort Worth, TX, Department d'Enginyeria Electronica, Universitat Autonoma de Barcelona, Department of Physics, Texas State University at San Marcos, Texas State University at San Marcos, Angelo State University, Texas State University-San Marcos, Department of Surgery, The University of Texas Southwestern Medical Center, Dallas, TX 75390, Department of Medicine, Baylor College of Medicine, Department of Bioengineering, Rice University, Department of Physics and Astronomy, Rice University, Department of Surgery, University of Texas Southwestern Medical Center, University of Texas at Dallas, Physics, Viginia State University, Jefferson Laboratory, Trinity University, LIGO, UTB-TSC, Mount Holyoke College, Texas A&M University, Electrical and Computer Engineering, TAMU, American Institute of Physics, University of Texas at Arlington, Texas Christian University, Fort Worth, TX, University of Pennsylvania, Philadelphia, PA, University of Missouri-Columbia, Columbia, MO, Paine College, Augusta, GA, Univ. of Edinburgh, INFN-LNS, INFN LNS CATANIA ITALY, Arkansas Technical University, AR, USA, Cyclotron Institute Texas A\&M University College Station Usa, and Heather Galloway, Texas State University--San Marcos

  • Allan Headley

    Texas A\&M, Sam Houston State University, Southern Methodist University, Dept of Physics, Texas Tech University, Depts of Cell Physiology and Molecular Biophysics, Texas Tech University HSC, Texas Tech University, Lee College, Texas A\&M University, Texas A\&M Univ.-Commerce, University of North Texas, Texas A\&M University and Princeton University, Princeton University, The University of North Texas, University of Texas at Austin, Center for High Energy Density Science, University of Texas at Austin, Institute for Fusion Studies, University of Texas at Austin, UT Arlington, Stephen F. Austin State University, Texas A&M University--Commerce, University of Texas at Dallas, University of Texas at El Paso, Department of Physics, The University of Texas at Dallas, Department of Physics and Astronomy, Francis Marion University, University of Texas at Brownsville, Texas State University--San Marcos, UTSA, Northwestern University, Rice University, Abilene Christian University, Texas Southern University, Department of Physics, Southern Methodist University, Dallas, Texas A\&M University Cyclotron Institute, Sciprint.org, University of Texas MD Anderson Cancer Center, University of Texas at San Antonio, Paschal High School, Fort Worth, TX, Department d'Enginyeria Electronica, Universitat Autonoma de Barcelona, Department of Physics, Texas State University at San Marcos, Texas State University at San Marcos, Angelo State University, Texas State University-San Marcos, Department of Surgery, The University of Texas Southwestern Medical Center, Dallas, TX 75390, Department of Medicine, Baylor College of Medicine, Department of Bioengineering, Rice University, Department of Physics and Astronomy, Rice University, Department of Surgery, University of Texas Southwestern Medical Center, University of Texas at Dallas, Physics, Viginia State University, Jefferson Laboratory, Trinity University, LIGO, UTB-TSC, Mount Holyoke College, Texas A&M University, Electrical and Computer Engineering, TAMU, American Institute of Physics, University of Texas at Arlington, Texas Christian University, Fort Worth, TX, University of Pennsylvania, Philadelphia, PA, University of Missouri-Columbia, Columbia, MO, Paine College, Augusta, GA, Univ. of Edinburgh, INFN-LNS, INFN LNS CATANIA ITALY, Arkansas Technical University, AR, USA, Cyclotron Institute Texas A\&M University College Station Usa, and Heather Galloway, Texas State University--San Marcos