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Related Concept Videos

Fast Fourier Transform01:10

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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.
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Properties of Fourier Transform I01:21

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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.
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Properties of Fourier Transform II01:24

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The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
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Discrete Fourier Transform01:15

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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...
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Basic signals of Fourier Transform01:07

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The Fourier Transform is a pivotal mathematical tool in signal processing, enabling the transformation of time-domain signals into their frequency-domain representations. Among the numerous elements within this domain, certain functions like the sinc function, delta function, and exponential signals hold significant importance due to their unique properties and implications.
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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...
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Updated: Jan 21, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

179

A Multimodal Wide-Field Fourier-Transform Raman Microscope.

M Riva1, B Ardini1, A Di Benedetto1

  • 1Dipartimento di Fisica, Politecnico di Milano.

Journal of Visualized Experiments : Jove
|January 19, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a wide-field Fourier-transform Raman microscope for rapid chemical mapping. The new technique significantly speeds up data acquisition and improves signal clarity compared to traditional methods.

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Area of Science:

  • Chemical Imaging
  • Spectroscopy
  • Microscopy

Background:

  • Spontaneous Raman microscopy offers chemical composition analysis but faces limitations in mapping large areas due to slow pixel dwell times.
  • Existing frequency-domain detection methods struggle to separate Raman signals from photoluminescence backgrounds.

Purpose of the Study:

  • To present a wide-field Fourier-transform (FT) Raman microscope for rapid acquisition of large-area chemical maps.
  • To demonstrate a time-domain approach for enhanced signal clarity and reduced measurement times.

Main Methods:

  • Integration of an ultra-stable common-path birefringent interferometer into a commercial microscope setup.
  • Utilizing Fourier-transform detection for parallel acquisition of spectra from all pixels of a 2D detector.
  • Development of a protocol for hyperspectral measurements, including alignment, parameter selection, and data analysis.

Main Results:

  • Achieved ~1-µm spatial and ~23-cm-1 spectral resolution for extended samples.
  • Reduced measurement time by 10-100x compared to point-scanning methods.
  • Successfully disentangled Raman signals from photoluminescence backgrounds using a time-domain approach.

Conclusions:

  • The developed wide-field FT Raman microscope enables significantly faster and more robust chemical mapping of large samples.
  • This technique overcomes key limitations of conventional Raman microscopy, offering improved efficiency and signal quality.
  • The protocol facilitates hyperspectral analysis for detailed investigation of sample chemistry.