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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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