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Fourier Analysis for Neuroscientists [PDF]
, 2013 In this Chapter, we introduce a piece of mathematical theory that is of importance in many different fields of theoretical neurobiology, and, indeed, for scientific computing in general. It is included here not so much because it is a genuine part of computational neuroscience, but because computational and systems neuroscience make extensive use of it.
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2015
Motivated by the study of heat diffusion, Joseph Fourier claimed that any periodic signals can be represented as a series of harmonically related sinusoids. Fourier’s idea has a profound impact in geoscience. It took one and a half centuries to complete the theory of Fourier analysis.
Zhihua Zhang, John C. Moore
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Motivated by the study of heat diffusion, Joseph Fourier claimed that any periodic signals can be represented as a series of harmonically related sinusoids. Fourier’s idea has a profound impact in geoscience. It took one and a half centuries to complete the theory of Fourier analysis.
Zhihua Zhang, John C. Moore
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2007
Publisher Summary This chapter aims to provide a comprehensive review of the principles and techniques for implementing discrete time Fourier analysis. This is valuable because Fourier analysis is used to calculate the frequency content of deterministic signals and is fundamental to spectral analysis. Although aperiodic signals are much more prevalent
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Publisher Summary This chapter aims to provide a comprehensive review of the principles and techniques for implementing discrete time Fourier analysis. This is valuable because Fourier analysis is used to calculate the frequency content of deterministic signals and is fundamental to spectral analysis. Although aperiodic signals are much more prevalent
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2015
As we have seen in the last chapter, music signals are generally complex sound mixtures that consist of a multitude of different sound components. Because of this complexity, the extraction of musically relevant information from a waveform constitutes a difficult problem.
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As we have seen in the last chapter, music signals are generally complex sound mixtures that consist of a multitude of different sound components. Because of this complexity, the extraction of musically relevant information from a waveform constitutes a difficult problem.
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Oscillations and Fourier Analysis
1998A universal property of material objects is their ability to vibrate, whether the vibration results in an audible sound, as in the ringing of a bell, or is subtle and inaudible, as the motion in a quartz crystal. It can be a microscopic oscillation on an atomic scale, or as large as an earthquake.
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Concept, implementations and applications of Fourier ptychography
Nature Reviews Physics, 2021Guoan Zheng, Cheng Shen, Shaowei Jiang
exaly
Integrated photodetectors for compact Fourier-transform waveguide spectrometers
Nature Photonics, 2022Matthias J Grotevent, Sergii V Yakunin
exaly