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

Inverse z-Transform by Partial Fraction Expansion01:20

Inverse z-Transform by Partial Fraction Expansion

312
The inverse z-transform is a crucial technique for converting a function from its z-domain representation back to the time domain. One effective method for finding the inverse z-transform is the Partial Fraction Method, which involves decomposing a function into simpler fractions with distinct coefficients. These fractions correspond to known z-transform pairs, facilitating the inverse transformation process.
To begin the process, the poles of the function are identified and the function is...
312
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule01:10

Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

1.2K
In the AX proton spin system, proton A can sense the two spin states of a coupled proton X, resulting in a doublet NMR signal with two peaks of equal (1:1) intensity. When proton A is coupled to two equivalent protons (AX2 spin system), the spin states of each X can be aligned with or against the external field, creating three possible scenarios. This results in a 1:2:1  triplet signal, where the central peak corresponds to the chemical shift of A and is twice as large or intense as the...
1.2K
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

1.0K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.0K
Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

186
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...
186
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

192
Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
192
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

954
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...
954

You might also read

Related Articles

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

Sort by
Same author

A hybrid bio inspired neural model based on Ropalidia Marginata behavior for multi disease classification.

Scientific reports·2025
Same author

Outcomes of revision surgery for idiopathic macular hole after failed primary vitrectomy.

Frontiers in medicine·2023
Same author

PxBLAT: An efficient python binding library for BLAT.

bioRxiv : the preprint server for biology·2023
Same author

Biocompatible Gallium Nanodots against Drug-Resistant Bacterial Pneumonia and Liver Abscess.

ACS applied materials & interfaces·2023
Same author

Synthesis and Properties of Carbon Microspheres from Waste Office Paper.

Molecules (Basel, Switzerland)·2023
Same author

Energy metabolism: A critical target of cardiovascular injury.

Biomedicine & pharmacotherapy = Biomedecine & pharmacotherapie·2023

Related Experiment Video

Updated: Jun 17, 2025

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures
08:49

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures

Published on: December 1, 2023

1.3K

Fractional synchrosqueezing transform for enhanced multicomponent signal separation.

Yangyang Li1, Dzati Athiar Ramli2

  • 1School of Electrical and Electronic Engineering, USM Engineering Campus, Universiti Sains Malaysia, 14300, Nibong Tebal, Malaysia.

Scientific Reports
|August 5, 2024
PubMed
Summary

This study introduces Fractional Synchrosqueezing Transform (FrSST) for improved multicomponent signal separation. FrSST enhances accuracy and reconstruction, offering better performance than traditional methods.

Keywords:
Fractional Fourier transform (FrFT)Multicomponent signalSignal reconstructionSynchrosqueezing transform (SST)Time–frequency ridge

More Related Videos

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

8.4K
Multiplex Chemical Imaging Based on Broadband Stimulated Raman Scattering Microscopy
09:57

Multiplex Chemical Imaging Based on Broadband Stimulated Raman Scattering Microscopy

Published on: July 25, 2022

3.9K

Related Experiment Videos

Last Updated: Jun 17, 2025

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures
08:49

Author Spotlight: Unveiling the Potential of VSFG Microscopy in Studying Mesoscopically Heterogeneous Self-Assembled Structures

Published on: December 1, 2023

1.3K
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

8.4K
Multiplex Chemical Imaging Based on Broadband Stimulated Raman Scattering Microscopy
09:57

Multiplex Chemical Imaging Based on Broadband Stimulated Raman Scattering Microscopy

Published on: July 25, 2022

3.9K

Area of Science:

  • Signal Processing
  • Applied Mathematics

Background:

  • Accurate separation of multicomponent signals is challenging due to signal complexity and interference.
  • Traditional Synchrosqueezing Transform (SST) faces limitations in squeezing difficulty and effectiveness.

Purpose of the Study:

  • To introduce an innovative Fractional Synchrosqueezing Transform (FrSST) for enhanced multicomponent signal separation.
  • To improve the accuracy of time-frequency ridges and the precision of signal separation.

Main Methods:

  • The proposed method utilizes FrSST, which rearranges signals along the fractional frequency axis.
  • Chirp multiplication and energy rearrangement are employed during signal reconstruction to compensate for chirp basis effects.
  • Improved ridges derived from FrSST ensure effective signal reconstruction.

Main Results:

  • FrSST-based reconstructed components show favorable approximation to original signals across a range of SNRs (-5 to 15 dB).
  • The algorithm demonstrates satisfactory computational efficiency as the sample size increases.

Conclusions:

  • FrSST offers a more precise and effective approach to multicomponent signal separation compared to existing methods.
  • The method provides improved energy concentration and reconstruction potential, leading to better signal fidelity.