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

Impulse Response01:17

Impulse Response

898
The impulse response is the system's reaction to an input impulse. In an RC circuit, the voltage source is the input, and the capacitor's voltage is the output. The system's state and output response before and after input excitation are distinctly defined.
Kirchhoff's law forms an input signal equation, with the capacitor's current and voltage providing the output. Substituting the current and dividing by RC yields a differential equation. The output for an impulse input is the impulse...
898
Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

9.8K
The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
9.8K
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

863
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...
863
Deconvolution01:20

Deconvolution

698
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...
698
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

434
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
434
Convolution: Math, Graphics, and Discrete Signals01:24

Convolution: Math, Graphics, and Discrete Signals

1.2K
In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
1.2K

You might also read

Related Articles

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

Sort by
Same author

Isotopic constraints in methane inversions reveal larger trends in wetland emissions with improved linkage to terrestrial water storage.

Nature communications·2026
Same author

Clone and characterization of a cytochrome P450 gene for drought tolerance in rice.

BMC plant biology·2026
Same author

Learning to Super-Resolve Face Images via Dual-Domain Multi-scale Feature Interaction.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same author

Electronic State Coupling for Cu<sup>+</sup> Stabilization to Boost Highly Efficient Transformation of CO<sub>2</sub> to C2 Products.

Angewandte Chemie (International ed. in English)·2026
Same author

Cross-stage single-cell and spatial metabolome analyses reveal periderm specialization and tanshinone biosynthesis in Salvia miltiorrhiza roots.

The New phytologist·2026
Same author

Multi-Decadal Dynamics of Wetland Methane Emissions Revealed by Knowledge-Guided Machine Learning.

Global change biology·2026
Same journal

Through the Looking Glass: A Dual Perspective on Weakly-Supervised Few-Shot Segmentation.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Mask-guided Asymmetric Contrastive and Semantic Alignment for Unsupervised Person Re-Identification.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Hyperbolic Cycle Alignment for Infrared-Visible Image Fusion.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Learning Gaze Synthesizer via 3D-eye Controlled Diffusion and Cross-domain Feature Alignment.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

Underlying Semantic Diffusion for Effective and Efficient In-Context Learning.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
Same journal

DiffRES: Unleashing Text-to-Image Diffusion Models for Generative Referring Expression Segmentation without Information Leakage.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2026
See all related articles

Related Experiment Video

Updated: Apr 6, 2026

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions
07:34

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions

Published on: March 25, 2014

10.3K

Weighted Couple Sparse Representation With Classified Regularization for Impulse Noise Removal.

Chun Lung Philip Chen, Licheng Liu, Long Chen

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |July 18, 2015
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel weighted couple sparse representation model to effectively remove impulse noise (IN) from images. The method improves image denoising by classifying pixels and adapting data-fidelity regularizations, outperforming existing techniques.

    More Related Videos

    Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling
    06:04

    Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

    Published on: January 17, 2025

    1.8K

    Related Experiment Videos

    Last Updated: Apr 6, 2026

    A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions
    07:34

    A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions

    Published on: March 25, 2014

    10.3K
    Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling
    06:04

    Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

    Published on: January 17, 2025

    1.8K

    Area of Science:

    • Image processing
    • Computer vision
    • Signal processing

    Background:

    • Impulse noise (IN) reduction methods often fail due to inadequate noise detectors and filters.
    • Existing techniques struggle with accurately identifying and filtering corrupted image pixels.

    Purpose of the Study:

    • To propose a novel weighted couple sparse representation model for robust impulse noise reduction.
    • To enhance image denoising performance by addressing limitations in current impulse noise removal methods.

    Main Methods:

    • A weighted couple sparse representation model is developed to exploit complex relationships between reconstructed and noisy images.
    • Image pixels are classified into clear, slightly corrupted, and heavily corrupted categories.
    • Differential data-fidelity regularizations are applied based on pixel corruption levels.
    • A dictionary is trained directly on noisy data using a weighted rank-one minimization problem.

    Main Results:

    • The proposed model effectively reconstructs noise-free images by optimizing coding coefficients.
    • Pixel classification and adaptive regularization significantly improve denoising performance.
    • The dictionary training method captures more original data features, leading to superior results.
    • Experimental results show the proposed method outperforms several state-of-the-art denoising techniques.

    Conclusions:

    • The weighted couple sparse representation model offers a superior approach to impulse noise reduction.
    • The method's ability to adapt to varying pixel corruption levels enhances its effectiveness.
    • This work provides a significant advancement in image denoising technology for impulse noise removal.