Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Fast Fourier Transform

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...

Properties of Fourier Transform I

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...

Properties of Fourier Transform II

Properties of Fourier Transform II

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.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...

Discrete Fourier Transform

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...

Basic signals of Fourier Transform

Basic signals of Fourier Transform

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.
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...

Continuous -time Fourier Transform

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...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Deep-learning reconstruction of aspheric microlens arrays from intensity maps.

Applied optics·2026

Same author

Towards noninvasive blood count using a deep learning pipeline from bulbar conjunctiva videos.

NPJ digital medicine·2026

Same author

Deep learning for optical misalignment diagnostics in multi-lens imaging systems.

Optics letters·2025

Same author

Shaping Ultrafast Pulses for Enhanced Resonant Nonlinear Interactions.

Nano letters·2025

Same author

Photoluminescence Detection of Polytype Polarization in r-MoS<sub>2</sub> Enabled by Asymmetric Dielectric Environments.

ACS nano·2025

Same author

Observation of Localized Resonant Phonon Polaritons in Biaxial α-MoO<sub>3</sub> Nanoparticles.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2025

Search research articles

Related Experiment Video

Updated: Jan 23, 2026

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

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

Published on: June 27, 2014

High-resolution multi-scan compact Fourier transform-infrared spectrometer.

Erga Lifshitz, Uri Arieli, Shahar Katz

|June 15, 2019

Summary

This summary is machine-generated.

This study introduces a novel method to enhance Fourier transform-infrared (FT-IR) spectrometer resolution without increasing its size. By stitching multiple short scans, we achieve high-resolution spectral characterization in a compact device.

More Related Videos

High-definition Fourier Transform Infrared FT-IR Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology

High-definition Fourier Transform Infrared FT-IR Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology

Published on: January 21, 2015

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Related Experiment Videos

Last Updated: Jan 23, 2026

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

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

Published on: June 27, 2014

High-definition Fourier Transform Infrared FT-IR Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology

High-definition Fourier Transform Infrared FT-IR Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology

Published on: January 21, 2015

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Area of Science:

Spectroscopy
Analytical Chemistry
Materials Science

Background:

Fourier transform-infrared (FT-IR) spectrometry is a key technique for material and chemical analysis.
Traditional FT-IR spectrometers face a resolution-footprint tradeoff due to interferometer arm length limitations.

Purpose of the Study:

To develop a novel method for enhancing FT-IR spectral resolution.
To overcome the inherent resolution-footprint tradeoff in FT-IR spectrometer design.

Main Methods:

Development of an interferogram stitching algorithm.
Combining multiple short FT-IR scans to create an effectively long interferogram.
Simulation and experimental validation of the enhanced spectrometer.

Main Results:

Demonstrated significant increase in spectral resolution for FT-IR spectrometers.
Achieved high-resolution spectral characterization with a compact spectrometer design.
Validated the effectiveness of the interferogram stitching algorithm.

Conclusions:

The novel multi-scan technique effectively overcomes traditional FT-IR resolution limits.
This method enables the development of compact, high-resolution FT-IR spectrometers.
The interferogram stitching algorithm offers a viable solution for advanced spectral analysis.