Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Fast Fourier Transform01:10

Fast Fourier Transform

912
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...
912
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

612
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...
612
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

747
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...
747
Discrete Fourier Transform01:15

Discrete Fourier Transform

858
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...
858
A Multimodal Wide-Field Fourier-Transform Raman Microscope06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

165
A wide-field Fourier-transform microscope, based on a compact and ultra-stable birefringent interferometer, allows the parallel acquisition of spectra for all pixels of a 2D detector. The time-domain approach enables the disentanglement of photoluminescence and Raman signals, and allows rapid Raman mapping (~5 ms/pixel) with ~1-µm spatial and 23-cm-1 spectral...
165
A Fourier Transform Infrared Spectroscopy Technique to Study Peptide Self-Assembly03:04

A Fourier Transform Infrared Spectroscopy Technique to Study Peptide Self-Assembly

1.4K
This video demonstrates the self-assembly of amyloid peptides into a beta sheet-rich supramolecular structure using Fourier transform infrared spectroscopy. An infrared beam is passed through a crystal with a high refractive index, and energy absorption across the interface of the crystal and the sample is recorded. The secondary structures of the sample proteins are identified by analyzing their characteristic absorption peaks at specific regions of the infrared spectrum, which aids in...
1.4K

You might also read

Related Articles

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

Sort by
Same author

Clinical characteristics and prognosis of therapy-related acute myeloid leukemia patients with RUNX1::RUNX1T1.

BMC cancer·2026
Same author

Decreased anticipatory and consummatory pleasure in adolescents with non-suicidal self-injury and its association with suicidal attempt.

Child and adolescent psychiatry and mental health·2026
Same author

Decoding the molecular drivers of TP53-mutant acute myeloid leukaemia: Clinical implications and prognostic insights.

British journal of haematology·2025
Same author

Joint effect of emotion regulation and impulsivity on identifying adolescents with non-suicidal self-injury.

Journal of psychiatric research·2025
Same author

Social Support, Psychopathology, and Non-Suicidal Self-Injury: Specific Effect of Threatening or Deprivation Experiences.

Journal of interpersonal violence·2025
Same author

Leukemia stem cells for relapse prediction in AML patients receiving allografts: long-term follow-up of a prospective study.

Bone marrow transplantation·2025
Same journal

Multi-module collaborative optimization-driven fast speckle correlation imaging in variable environments.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Secrecy performance analysis of NOMA-UWOC systems over a vertically stratified WGG oceanic turbulence channel.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Backscattering of plane waves in a composite system containing a rough surface and anisotropic scatterers.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Aspherical surface construction methods based on extended Jacobi polynomials.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

OCT sidelobe suppression method based on dual-path phase sinusoidal modulation and minimum value fusion.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
Same journal

Optical design concepts using wavelength-selective diffractive optics to enable miniaturized multimodal endoscopic imaging across separated spectral ranges.

Journal of the Optical Society of America. A, Optics, image science, and vision·2026
See all related articles

Related Experiment Video

Updated: Jan 19, 2026

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

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

165

Combinatorial optical complex wavelet-fractional Fourier transform.

Cui-Hong Lv, Fei-Fei Tang, Li-Juan Shi

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |September 11, 2019
    PubMed
    Summary
    This summary is machine-generated.

    We introduce a new quantum optics tool, the combinatorial optical complex wavelet-fractional Fourier transform, to analyze quantum states. This method helps identify and understand different quantum optical states like vacuum and number states.

    More Related Videos

    A Fourier Transform Infrared Spectroscopy Technique to Study Peptide Self-Assembly
    03:04

    A Fourier Transform Infrared Spectroscopy Technique to Study Peptide Self-Assembly

    1.4K
    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
    08:42

    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

    Published on: September 3, 2021

    3.5K

    Related Experiment Videos

    Last Updated: Jan 19, 2026

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

    A Multimodal Wide-Field Fourier-Transform Raman Microscope

    Published on: December 30, 2025

    165
    A Fourier Transform Infrared Spectroscopy Technique to Study Peptide Self-Assembly
    03:04

    A Fourier Transform Infrared Spectroscopy Technique to Study Peptide Self-Assembly

    1.4K
    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method
    08:42

    Measurement of the Directional Information Flow in fNIRS-Hyperscanning Data using the Partial Wavelet Transform Coherence Method

    Published on: September 3, 2021

    3.5K

    Area of Science:

    • Quantum Optics
    • Quantum Information Theory
    • Wavelet Transforms

    Background:

    • Quantum optical states are fundamental to quantum information processing.
    • Analyzing and identifying these states is crucial for advancements in quantum technologies.
    • Existing methods may have limitations in characterizing complex quantum states.

    Purpose of the Study:

    • To introduce a novel mathematical transform for quantum optics.
    • To develop a new tool for analyzing and identifying quantum optical states.
    • To explore the application of this transform to specific quantum states.

    Main Methods:

    • Utilizing the technique of integration within ordered product of operators.
    • Formulating the combinatorial optical complex wavelet-fractional Fourier transform.
    • Deducing the normally ordered form of the unitary operator for the transform.

    Main Results:

    • The unitary operator for the new transform was successfully derived.
    • The normally ordered form of the operator was deduced.
    • The transform was applied to two-mode vacuum and number states, demonstrating its utility.

    Conclusions:

    • The combinatorial optical complex wavelet-fractional Fourier transform is a viable new tool in quantum optics.
    • This transform can effectively analyze and identify various quantum optical states.
    • The method offers potential for further research in quantum state characterization.