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 Experiment Videos

Discrete and integral fourier transforms: analytical examples.

W J Thompson1, J R Macdonald

  • 1Department of Physics and Astronomy, University of North Carolina, Chapel Hill, NC 27599-3255, USA.

Proceedings of the National Academy of Sciences of the United States of America
|August 1, 1993
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by
Same author

Inner-mitochondrial membrane protein PfMPV17 is linked to P. falciparum in vitro resistance to the indoloquinolizidine alkaloid alstonine.

The Journal of antimicrobial chemotherapy·2025
Same author

Antiplasmodial activity of the natural product compounds alstonine and himbeline.

International journal for parasitology. Drugs and drug resistance·2021
Same author

The importance of evaluating specific myeloid malignancies in epidemiological studies of environmental carcinogens.

BMC cancer·2021
Same author

Case of Castration Said to Be Self-Inflicted.

The Indian medical gazette·2017
Same author

Malocclusion model of temporomandibular joint osteoarthritis in mice with and without receptor for advanced glycation end products.

Archives of oral biology·2016
Same author

Anomalous diffusion and memory effects on the impedance spectroscopy for finite-length situations.

Journal of physics. Condensed matter : an Institute of Physics journal·2011

This study analyzes the discrete Fourier transform (DFT) and its relationship with the Fourier integral transform (FIT). It provides methods to estimate and reduce approximation errors between these essential signal processing transforms.

Area of Science:

  • Signal Processing
  • Applied Mathematics
  • Numerical Analysis

Background:

  • The discrete Fourier transform (DFT) and Fourier integral transform (FIT) are fundamental in signal processing.
  • Understanding their relationship is crucial for accurate data analysis and error estimation.

Purpose of the Study:

  • To elucidate the connections between the DFT and FIT using analytical examples.
  • To quantify approximation errors when using DFT for FIT and vice versa.
  • To propose strategies for minimizing these errors.

Main Methods:

  • Mathematical and numerical analysis of the time-to-frequency DFT for complex exponential functions.
  • Analysis of the frequency-to-time inverse DFT for relaxation functions.
  • Comparison with exact FITs to identify aliasing and truncation effects.

Related Experiment Videos

Main Results:

  • Analytical examples demonstrate the relationship between DFT and FIT.
  • Quantification of errors arising from approximating one transform with the other.
  • Identification of aliasing and truncation as key factors influencing DFT accuracy.

Conclusions:

  • The study clarifies the impact of aliasing and truncation on DFT accuracy.
  • Provides a framework for estimating and reducing errors in DFT approximations.
  • Enhances understanding of transform relationships in signal processing.