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

Deconvolution01:20

Deconvolution

728
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...
728
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

2.3K
Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single...
2.3K
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

5.6K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
5.6K
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

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

1.9K
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...
1.9K
¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

2.2K
The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
2.2K
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

457
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....
457

You might also read

Related Articles

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

Sort by
Same author

Analytical study on steady seepage of a foundation pit adjacent to a structure.

Scientific reports·2025
Same author

PKG-Mediated Phosphorylation of TOP2A Activates HDAC to Drive Photoreceptor Cell Death in rd1 Mouse Inherited Retinal Degeneration.

Journal of neurochemistry·2025
Same author

A Circularly Polarized Broadband Composite Spiral Antenna for Ground Penetrating Radar.

Sensors (Basel, Switzerland)·2025
Same author

Fabricating a Three-Dimensional Surface-Enhanced Raman Scattering Substrate Using Hydrogel-Loaded Freeze-Induced Silver Nanoparticle Aggregates for the Highly Sensitive Detection of Organic Pollutants in Seawater.

Sensors (Basel, Switzerland)·2025
Same author

Investigating immune cell infiltration and gene expression features in pterygium pathogenesis.

Scientific reports·2025
Same author

Clinical characteristics and risk factors for readmission after deep anterior lamellar keratoplasty: a nationwide, cross-sectional, multicenter study.

BMC ophthalmology·2025
Same journal

Multifunctional reconfigurable terahertz metasurface based on vanadium dioxide phase transition: achieving broadband absorption and efficient polarization conversion.

Applied optics·2026
Same journal

High-Q-factor electromagnetically induced transparency utilizing quasi-bound states in the continuum in an all-dielectric terahertz metasurface.

Applied optics·2026
Same journal

Automated stitching interferometry for high-precision metrology of X-ray mirrors.

Applied optics·2026
Same journal

Experimental demonstration of an approach to designing a metal-dielectric DBR resonant cavity structure.

Applied optics·2026
Same journal

High-precision wavefront reconstruction from a single-shot interferogram using a physics-driven hybrid feature calibration network.

Applied optics·2026
Same journal

Ultra-high-Q Fano resonance based on coupled topological corner states in Kagome photonic crystals.

Applied optics·2026
See all related articles

Related Experiment Video

Updated: Apr 18, 2026

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

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

802

Adaptive total variation-based spectral deconvolution with the split Bregman method.

Hai Liu, Sanya Liu, Zhaoli Zhang

    Applied Optics
    |January 22, 2015
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel maximum a posteriori (MAP) algorithm using adaptive total variation (ATV) regularization to resolve overlapping peaks in spectroscopic data, simultaneously reducing noise and preserving spectral information.

    More Related Videos

    ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
    07:11

    ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

    Published on: August 19, 2021

    3.1K
    High Speed Sub-GHz Spectrometer for Brillouin Scattering Analysis
    13:31

    High Speed Sub-GHz Spectrometer for Brillouin Scattering Analysis

    Published on: December 22, 2015

    15.9K

    Related Experiment Videos

    Last Updated: Apr 18, 2026

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

    A Multimodal Wide-Field Fourier-Transform Raman Microscope

    Published on: December 30, 2025

    802
    ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
    07:11

    ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

    Published on: August 19, 2021

    3.1K
    High Speed Sub-GHz Spectrometer for Brillouin Scattering Analysis
    13:31

    High Speed Sub-GHz Spectrometer for Brillouin Scattering Analysis

    Published on: December 22, 2015

    15.9K

    Area of Science:

    • Spectroscopy
    • Signal Processing
    • Computational Chemistry

    Background:

    • Spectroscopic data frequently exhibit band overlap and noise, complicating analysis.
    • Accurate interpretation of spectral data is crucial across various scientific disciplines.

    Purpose of the Study:

    • To develop a robust algorithm for spectral deconvolution addressing band overlap and noise.
    • To enhance the recovery of spectral peak structures and improve signal-to-noise ratio.

    Main Methods:

    • A maximum a posteriori (MAP) framework was utilized for spectral deconvolution.
    • Adaptive total variation (ATV) regularization was employed for the prior probability density function (PDF).
    • The split Bregman iteration algorithm optimized the ATV spectral deconvolution model for accelerated processing.

    Main Results:

    • The algorithm effectively recovered overlapping peaks in both simulated and real spectroscopic data.
    • Simultaneous noise suppression and preservation of peak structure information were achieved.
    • The method demonstrated robustness concerning the regularization parameter.

    Conclusions:

    • The proposed MAP-based algorithm with ATV regularization offers a powerful solution for spectral deconvolution.
    • This approach significantly improves the quality and interpretability of spectroscopic data.
    • The algorithm's ability to handle noise and overlap makes it valuable for diverse analytical applications.