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Observational Data: Analysis of the Frequency Spectrum

Sarbani Basu and William J. Chaplin

in Asteroseismic Data Analysis: Foundations and Techniques

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691162928
eISBN:
9781400888207
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691162928.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter is an analysis of the frequency-power spectrum. It first discusses the probabilistic methods for detecting signatures of individual modes in the spectrum, including schemes that ... More


A System of Rhythms: From Simple to Complex Dynamics

Buzsáki György

in Rhythms of the Brain

Published in print:
2006
Published Online:
May 2009
ISBN:
9780195301069
eISBN:
9780199863716
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195301069.003.0005
Subject:
Neuroscience, Neuroendocrine and Autonomic, Techniques

Neuronal networks in the mammalian cortex generate several distinct oscillatory bands. These neuronal oscillators are linked to the much slower metabolic oscillators. The mean frequencies of the ... More


Observational Data: Detailed Characteristics in the Frequency Domain

Sarbani Basu and William J. Chaplin

in Asteroseismic Data Analysis: Foundations and Techniques

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691162928
eISBN:
9781400888207
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691162928.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter details the frequency-domain properties of observational data on stars. It is from the analysis of the frequency spectrum of the observations that the asteroseismic parameters are ... More


Periodically modulated quantum nonlinear oscillators

M. I. Dykman

in Fluctuating Nonlinear Oscillators: From Nanomechanics to Quantum Superconducting Circuits

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199691388
eISBN:
9780191742255
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691388.003.0007
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the ... More


Neural Coherence and Stochastic Resonance

André Longtin

in Stochastic Methods in Neuroscience

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199235070
eISBN:
9780191715778
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199235070.003.0004
Subject:
Mathematics, Biostatistics

This chapter concerns the influence of noise and periodic rhythms on the firing patterns of neurons in their subthreshold regime. Such a regime conceals many computations that lead to successive ... More


Transforms of Deterministic Continuous-Time Signals

Stevan Berber

in Discrete Communication Systems

Published in print:
2021
Published Online:
September 2021
ISBN:
9780198860792
eISBN:
9780191893018
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198860792.003.0012
Subject:
Physics, Atomic, Laser, and Optical Physics, Condensed Matter Physics / Materials

Chapter 12 presents a detailed analysis of continuous-time signals and systems in the frequency domain, including the theory of Fourier series and Fourier transforms, and key examples relevant for ... More


The Planck mission

François R. Bouchet

in Post-Planck Cosmology: Lecture Notes of the Les Houches Summer School: Volume 100, July 2013

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198728856
eISBN:
9780191795794
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198728856.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter discusses some aspects of the Planck mission, whose prime objective was a very accurate measurement of the temperature anisotropies of the cosmic microwave background (CMB). Planck is a ... More


The evolution of the large-scale structure of the universe: beyond the linear regime

Francis Bernardeau

in Post-Planck Cosmology: Lecture Notes of the Les Houches Summer School: Volume 100, July 2013

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198728856
eISBN:
9780191795794
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198728856.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter introduces analytical tools, methods, and results describing the growth of large-scale structure beyond the linear regime. The presentation focuses on the single-flow regime of the ... More


Coherence

Charles S. Adams and Ifan G. Hughes

in Optics f2f: From Fourier to Fresnel

Published in print:
2018
Published Online:
January 2019
ISBN:
9780198786788
eISBN:
9780191828980
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198786788.003.0008
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter considers the sum of many waves that do not necessarily have a well-defined phase relation. The examples of Michelson’s interferometer and Young’s interferometer are used to measure the ... More


Linear-Gaussian systems and signal processing

Max A. Little

in Machine Learning for Signal Processing: Data Science, Algorithms, and Computational Statistics

Published in print:
2019
Published Online:
October 2019
ISBN:
9780198714934
eISBN:
9780191879180
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198714934.003.0007
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy, Mathematical Physics

Linear systems theory, based on the mathematics of vector spaces, is the backbone of all “classical” DSP and a large part of statistical machine learning. The basic idea -- that linear algebra ... More


Surface Roughness

C. Mathew Mate and Robert W. Carpick

in Tribology on the Small Scale: A Modern Textbook on Friction, Lubrication, and Wear

Published in print:
2019
Published Online:
October 2019
ISBN:
9780199609802
eISBN:
9780191747724
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199609802.003.0002
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

When two surfaces are brought into contact, they first touch where the summits of the surface asperities make contact. Consequently, surface roughness or topography strongly influences those physical ... More


Introduction To Stochastic Processes

Abraham Nitzan

in Chemical Dynamics in Condensed Phases: Relaxation, Transfer and Reactions in Condensed Molecular Systems

Published in print:
2006
Published Online:
November 2020
ISBN:
9780198529798
eISBN:
9780191916649
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198529798.003.0013
Subject:
Chemistry, Physical Chemistry

As discussed in Section 1.5, the characterization of observables as random variables is ubiquitous in descriptions of physical phenomena. This is not immediately obvious in view of the fact that ... More


Electromechanics and its devices

Sandip Tiwari

in Nanoscale Device Physics: Science and Engineering Fundamentals

Published in print:
2017
Published Online:
August 2017
ISBN:
9780198759874
eISBN:
9780191820847
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198759874.003.0005
Subject:
Physics, Condensed Matter Physics / Materials, Atomic, Laser, and Optical Physics

Electromechanics—coupling of mechanical forces with others—exhibits a continuum-to-discrete spectrum of properties. In this chapter, classical and newer analysis techniques are developed for devices ... More


The growth of structure

Andrew M. Steane

in Relativity Made Relatively Easy Volume 2: General Relativity and Cosmology

Published in print:
2021
Published Online:
December 2021
ISBN:
9780192895646
eISBN:
9780191943911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895646.003.0024
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The growth of structure by gravitational collapse from initially small perturbations is described. The Jeans instability is calculated. The structure equations are obtained and solved in various ... More


Generalized Information Measures and the Analysis of Brain Electrical Signals

A. Plastino, M.T. Martin, and O. Rosso

in Nonextensive Entropy: Interdisciplinary Applications

Published in print:
2004
Published Online:
November 2020
ISBN:
9780195159769
eISBN:
9780197562024
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195159769.003.0020
Subject:
Earth Sciences and Geography, Atmospheric Sciences

The traditional way of analyzing brain electrical activity, on the basis of electroencephalogram (EEG) records, relies mainly on visual inspection and years of training. Although it is quite ... More


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