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Fourier Transforms in Spectroscopy

TLDR
In this article, the authors define general properties of Fourier Transformer Transformer Transform, Discrete Fourier Transform, Fast Fourier transform, Laplace Transform, and Other Integral Transformer transform.
Abstract
I MATHEMATICAL FUNDAMENTALS: Basic Definitions General Properties of Fourier Transforms Discrete Fourier Transforms Fast Fourier Transforms Laplace and Other Integral Transforms II SPECTRAL APPLICATIONS: Fourier Transform Spectroscopy Fourier Transform Nuclear Magnetic Resonance (NMR) Spectrometry FT Ion Cyclotron Resonance Mass Spectrometry Diffraction and Fourier Transform Uncertainty Principle Signal Processing Fourier Self-Deconvolution Linear Prediction.

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Citations
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Journal ArticleDOI

Adaptive ranging for optical coherence tomography

TL;DR: An adaptive optical coherence tomography system with a 7.0 mm range is demonstrated by matching the imaging depth to the approximately 1.5 mm penetration depth in tissue, resulting in a 3 dB sensitivity improvement over conventional imaging systems.
Book

Handbook of Fourier Analysis & Its Applications

TL;DR: In this article, Fourier Transforms in Probability, Random Variables and Stochastic Processes are used for time-frequency representation of signal and image synthesis in the context of Fourier analysis.
MonographDOI

IR and Raman spectroscopy : fundamental processing

TL;DR: The OPUS Workstation as discussed by the authors is an OPUS system for Vibrational Spectroscopy that uses Fourier Transform Technique (FTT) to transform vibrational spectroscopy data.
Journal ArticleDOI

Micromachined Fourier transform spectrometer on silicon optical bench platform

TL;DR: In this article, a miniaturized Fourier transform spectrometer is implemented on a silicon optical bench platform, which combines the flexible definition capability of deep reactive ion etching with the good surface quality provided by anisotropic KOH wet etching.
Journal ArticleDOI

Single-Perturbation-Cycle Online Battery Impedance Spectrum Measurement Method With Closed-Loop Control of Power Converter

TL;DR: The presented method utilizes closed-loop control operation for the EIS measurement functionality, which allows for better control of the output voltage and for upgrading the concept to be able to achieve no added perturbation ripple at the output of the system.