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Related Concept Videos

Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
Discrete Fourier Transform01:15

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
IR Spectrometers01:25

IR Spectrometers

There are two main infrared (IR) spectrophotometers: dispersive IR spectrometers and Fourier transform infrared (FTIR) spectrometers. In a dispersive IR spectrometer, a beam of infrared radiation produced by a hot wire is divided into two parallel equal-intensity beams using mirrors. One beam passes through the sample, while another is a reference beam. The beams then move through the monochromator, which separates the radiations into a continuous spectrum of different frequencies. The...
Discrete-Time Fourier Series01:20

Discrete-Time Fourier Series

The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...
Fast Fourier Transform01:10

Fast Fourier Transform

The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...

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Updated: Jun 15, 2026

Proton Transfer and Protein Conformation Dynamics in Photosensitive Proteins by Time-resolved Step-scan Fourier-transform Infrared Spectroscopy
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Proton Transfer and Protein Conformation Dynamics in Photosensitive Proteins by Time-resolved Step-scan Fourier-transform Infrared Spectroscopy

Published on: June 27, 2014

Improvements in time resolved Fourier spectroscopy.

H Sakai, R E Murphy

    Applied Optics
    |March 4, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Fourier spectroscopy, a powerful technique, is now used for time-dependent studies. This research details its principles, expected signal-to-noise ratio (SNR), and instrumentation, presenting recent findings.

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    Proton Transfer and Protein Conformation Dynamics in Photosensitive Proteins by Time-resolved Step-scan Fourier-transform Infrared Spectroscopy
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    Area of Science:

    • Spectroscopy
    • Analytical Chemistry
    • Physical Chemistry

    Background:

    • Fourier spectroscopy offers significant advantages for various analytical applications.
    • Time-dependent studies require advanced spectroscopic techniques for accurate data acquisition.

    Purpose of the Study:

    • To apply Fourier spectroscopy to time-dependent studies.
    • To discuss the principles, expected signal-to-noise ratio (SNR), and instrumentation of Fourier spectroscopy.
    • To present recent results from these time-dependent studies.

    Main Methods:

    • Application of Fourier spectroscopy.
    • Detailed discussion of spectroscopic principles.
    • Analysis of signal-to-noise ratio (SNR) expectations.
    • Description of instrumentation.

    Main Results:

    • Demonstration of Fourier spectroscopy's utility in time-dependent analyses.
    • Presentation of recent experimental results.
    • Evaluation of SNR and instrumentation performance.

    Conclusions:

    • Fourier spectroscopy is effectively applied to time-dependent studies.
    • The technique's principles, SNR, and instrumentation are crucial for successful implementation.
    • Recent results highlight the technique's capabilities.