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Related Concept Videos

Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
Deconvolution01:20

Deconvolution

Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
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...
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...
Discrete-Time Fourier Series01:20

Discrete-Time Fourier Series

The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...

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Related Experiment Video

Updated: Jun 7, 2026

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
06:25

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

IMAGE resolution enhancement by using discrete and stationary wavelet decomposition.

Hasan Demirel, Gholamreza Anbarjafari

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |October 21, 2010
    PubMed
    Summary

    This study introduces an improved image resolution enhancement method using discrete wavelet transform (DWT) and stationary wavelet transform (SWT). The technique effectively enhances edges and details, outperforming existing resolution enhancement methods.

    Related Experiment Videos

    Last Updated: Jun 7, 2026

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
    06:25

    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

    Published on: February 12, 2014

    Area of Science:

    • Digital Image Processing
    • Computer Vision
    • Signal Processing

    Background:

    • Image resolution enhancement is crucial for various applications.
    • Traditional methods often struggle with preserving fine details and edge sharpness.

    Discussion:

    • The proposed method utilizes discrete wavelet transform (DWT) for subband decomposition.
    • Stationary wavelet transform (SWT) is incorporated for intermediate edge enhancement.
    • Interpolation of high-frequency subbands and the input image refines details.

    Key Insights:

    • The integration of DWT and SWT significantly improves edge details in super-resolved images.
    • The proposed interpolation strategy enhances high-frequency components effectively.
    • Quantitative and visual results demonstrate superior performance compared to existing techniques.

    Outlook:

    • Further research could explore adaptive subband selection for varied image content.
    • Real-time implementation of this technique could be investigated for video processing.
    • Investigating the impact of different wavelet families may yield further improvements.