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...

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...

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...

Discrete-time Fourier transform

Discrete-time Fourier transform

The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...

IR Spectrometers

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...

You might also read

Related Articles

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

Sort by

Same author

Molecular analysis and genotype-phenotype correlation of Diamond-Blackfan anemia.

Clinical genetics·2017

Same author

System for time-resolved laser absorption spectroscopy and its application to high-power impulse magnetron sputtering.

The Review of scientific instruments·2017

Same author

A modified Katsumata probe--Ion sensitive probe for measurement in non-magnetized plasmas.

The Review of scientific instruments·2015

Same author

Surface plasmon polaritons at linearly graded semiconductor interfaces.

Optics express·2015

Same author

Time-resolved tunable diode laser absorption spectroscopy of pulsed plasma.

Optics letters·2013

Same author

Autofluorescence imaging can identify preinvasive or clinically occult lesions in fallopian tube epithelium: a promising step towards screening and early detection.

Gynecologic oncology·2011

Search research articles

Related Experiment Video

Updated: Jul 6, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Interferometric optical fourier-transform processor for calculation of selected spatial frequencies.

P M Lane¹, M Cada

¹Department of Electrical and Computer Engineering, Dalhousie University, PO Box 1000, Halifax, Nova Scotia B3H 1H1. plane@bccancer.bc.ca

|March 21, 2008

Summary

A new optical processor computes image Fourier transforms efficiently at specific points. This hybrid optical-digital method is over 1000 times faster than digital methods for certain applications.

More Related Videos

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

Implementation of a Reference Interferometer for Nanodetection

Implementation of a Reference Interferometer for Nanodetection

Published on: April 26, 2014

Related Experiment Videos

Last Updated: Jul 6, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

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

Implementation of a Reference Interferometer for Nanodetection

Implementation of a Reference Interferometer for Nanodetection

Published on: April 26, 2014

Area of Science:

Optics and Photonics
Image Processing
Computational Science

Background:

Fourier transform is crucial for image analysis.
Existing methods can be computationally intensive for specific applications.
Need for efficient computation of Fourier transforms at selected spatial frequencies.

Purpose of the Study:

To present a novel interferometric optical Fourier-transform processor.
To enable computation of complex-valued Fourier transforms at preselected points.
To demonstrate a hybrid optical-digital approach for enhanced speed and efficiency.

Main Methods:

Utilizing a common-path interferometer to interfere image Fourier spectra.
Employing a reference image for fringe visibility and spectrum determination.
Postprocessing interferograms to extract real and imaginary parts of the spectrum.
Implementing a hybrid optical-digital technique.

Main Results:

The processor accurately determines real and imaginary parts of the Fourier spectrum.
The hybrid method is computationally advantageous for sparse frequency sampling.
Demonstrated effectiveness in a moving-object trajectory estimation system.
Achieved speed improvements of over 3 orders of magnitude compared to all-digital computation.

Conclusions:

The interferometric optical Fourier processor offers significant speed advantages for specific computational tasks.
This hybrid approach is suitable for applications requiring Fourier transform at a limited number of spatial frequencies.
The system shows promise for real-time applications like trajectory estimation.