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

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...
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...
Infrared (IR) Spectroscopy: Overview01:09

Infrared (IR) Spectroscopy: Overview

When electromagnetic radiation passes through a material, atoms or molecules transition from a lower to a higher energy state by absorbing radiation corresponding to the energy difference between the two states. The absorption of infrared (IR) radiation causes transitions between vibrational energy levels in a molecule. Therefore, IR spectroscopy is a useful analytical tool for determining the molecular structure of molecules.
Different compounds display unique properties due to their...
Discrete-time Fourier transform01:26

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...
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...

You might also read

Related Articles

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

Sort by
Same author

[Association between genetic polymorphism of tumor necrosis factor and chronic severe hepatitis B in patients].

Zhonghua yi xue za zhi·2007
Same author

In vivo translational inaccuracy in Escherichia coli: missense reporting using extremely low activity mutants of Vibrio harveyi luciferase.

Biochemistry·2007
Same author

[Construction of recombinant adenovirus vector expressing extracellular domain of TbetaR-II-RANTES fusion gene and its anti-tumor effects].

Zhonghua zhong liu za zhi [Chinese journal of oncology]·2007
Same author

[Characteristics, evolution and variation of M genes of human avian H5N1 strains in Guangdong].

Bing du xue bao = Chinese journal of virology·2007
Same author

Dynamic changes in microbial activity and community structure during biodegradation of petroleum compounds: a laboratory experiment.

Journal of environmental sciences (China)·2007
Same author

Differences in optical transport properties between human meridian and non-meridian.

The American journal of Chinese medicine·2007

Related Experiment Video

Updated: Jun 15, 2026

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

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

[Continuum based fast Fourier transform processing of infrared spectrum].

Qing-Jie Liu1, Qi-Zhong Lin, Qin-Jun Wang

  • 1Institute of Remote Sensing Application, Chinese Academy of Sciences, Beijing 100101, China. liuqingjie66@yahoo.com.cn

Guang Pu Xue Yu Guang Pu Fen Xi = Guang Pu
|March 10, 2010
PubMed
Summary

A new combined continuum processing and Fast Fourier Transform (CFFT) method effectively removes high-frequency noise from infrared spectra. This CFFT approach offers superior noise reduction for ground object recognition compared to traditional methods.

More Related Videos

High-definition Fourier Transform Infrared (FT-IR) Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology
11:05

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

Published on: January 21, 2015

Proton Transfer and Protein Conformation Dynamics in Photosensitive Proteins by Time-resolved Step-scan Fourier-transform Infrared Spectroscopy
10:03

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

Published on: June 27, 2014

Related Experiment Videos

Last Updated: Jun 15, 2026

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

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

High-definition Fourier Transform Infrared (FT-IR) Spectroscopic Imaging of Human Tissue Sections towards Improving Pathology
11:05

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

Published on: January 21, 2015

Proton Transfer and Protein Conformation Dynamics in Photosensitive Proteins by Time-resolved Step-scan Fourier-transform Infrared Spectroscopy
10:03

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

Published on: June 27, 2014

Area of Science:

  • Geoscience
  • Spectroscopy
  • Signal Processing

Context:

  • Infrared spectrum analysis is crucial for ground object recognition.
  • High-frequency noise significantly hinders spectrum feature analysis and extraction.
  • Existing noise removal methods like traditional FFT and time-domain filters have limitations.

Purpose:

  • To introduce a novel, effective, and convenient method for infrared spectrum preprocessing.
  • To enhance the accuracy of spectrum feature analysis by removing high-frequency noise.
  • To compare the performance of the new CFFT method against traditional techniques.

Summary:

  • A new method combining continuum processing and Fast Fourier Transform (CFFT) was developed for infrared spectrum preprocessing.
  • The CFFT method involves continuum removal, FFT to frequency domain, low-pass filtering, inverse FFT to time domain, and continuum recovery.
  • Experiments on chlorite spectra demonstrated CFFT's superior performance over traditional FFT and CFFP, with lower mean squared error and overcoming Gibbs phenomenon.

Impact:

  • The CFFT method provides a more convenient, dependable, and effective solution for infrared spectrum noise removal.
  • Improved spectrum quality facilitates more accurate ground object recognition using infrared data.
  • This technique has the potential to advance hyperspectral data analysis in various scientific fields.