Related Experiment Video

Updated: Dec 31, 2025

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
09:04

Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

Published on: February 23, 2018

9.9K

Numerical far field simulations with the fast Fourier transformation and Fourier space interpolation

Raoul-Amadeus Lorbeer, Heiko Meyer, Tammo Ripken

    Optics Express
    |April 4, 2015
    PubMed

    More Related Videos

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry12:14

    The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

    Published on: August 12, 2013

    22.4K
    Simulation, Fabrication and Characterization of THz Metamaterial Absorbers13:44

    Simulation, Fabrication and Characterization of THz Metamaterial Absorbers

    Published on: December 27, 2012

    15.8K

    Related Concept Videos

    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...
    812
    Trigonometric Fourier series01:17

    Trigonometric Fourier series

    Fourier series is a foundational mathematical technique that decomposes periodic functions into an infinite series of sinusoidal harmonics. This method enables the representation of complex periodic signals as sums of simple sine and cosine functions, facilitating their analysis and interpretation in various fields, including signal processing, acoustics, and electrical engineering.
    The trigonometric Fourier series specifically expresses a periodic function with a defined period T using sine...
    683
    Convergence of Fourier Series01:21

    Convergence of Fourier Series

    The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
    The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...
    345
    Parseval's Theorem for Fourier transform01:15

    Parseval's Theorem for Fourier transform

    Parseval's theorem is a fundamental principle in signal processing that enables the calculation of a signal's energy in either the time domain or the frequency domain. This theorem is pivotal in demonstrating energy conservation between these two domains, ensuring that the computed energy value remains consistent regardless of the domain of analysis.
    To understand Parseval's theorem, it is essential to first comprehend how signal energy is typically calculated. When considering a...
    2.0K
    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...
    773
    Reconstruction of Signal using Interpolation01:10

    Reconstruction of Signal using Interpolation

    Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
    640