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

Fast Fourier Transform01:10

Fast Fourier Transform

1.0K
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...
1.0K
Properties of Fourier Transform I01:21

Properties of Fourier Transform I

708
The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...
708
Bandpass Sampling01:17

Bandpass Sampling

570
In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2....
570
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

1.3K
This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
1.3K
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

398
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....
398
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

382
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
382

You might also read

Related Articles

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

Sort by
Same author

Effects of trampoline training on lower-limb strength and balance in children and adolescents with special needs: a multilevel systematic review and meta-analysis.

Frontiers in medicine·2026
Same author

Association Between Different Vericiguat Dose Exposures, Concomitant Quadruple Heart Failure Therapy, and Myocardial Fibrosis Burden in Older Adults with Worsening Heart Failure with Reduced Ejection Fraction.

Anatolian journal of cardiology·2026
Same author

RasGRP3 Promotes RAP1B Activity to Inhibit Endothelial Inflammation and Alleviate Atherosclerosis in High-Fat Diet-Fed ApoE<sup>-/-</sup> Mice.

Inflammation·2026
Same author

Advances in Silicon Carbides and Their MEMS Pressure Sensors for High Temperature and Pressure Applications.

ACS applied materials & interfaces·2025
Same author

NLRP3 inflammasome activation promotes the development of allergic rhinitis via epithelium pyroptosis.

Biochemical and biophysical research communications·2019
Same author

Construction of an irreversible allergic rhinitis-induced olfactory loss mouse model.

Biochemical and biophysical research communications·2019

Related Experiment Video

Updated: Feb 21, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
09:02

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Published on: January 31, 2025

1.7K

Optimal model for 4-band biorthogonal wavelets bases for fast calculation.

Qingyun Zou1, Guoqiu Wang2

  • 1Hunan Province Cooperative Innovation Center for The Construction Development of Dongting Lake Ecological Economic Zone, Hunan University of Arts and Science, Changde, Hunan 415000 P.R. China.

Journal of Inequalities and Applications
|October 6, 2017
PubMed
Summary

Researchers constructed novel 4-band symmetric biorthogonal wavelet bases. These wavelets offer flexibility and efficient computation for various applications.

Keywords:
biorthogonal waveletscircular matrixmulti-band waveletssymmetryvanishing movement

More Related Videos

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.7K
A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

547

Related Experiment Videos

Last Updated: Feb 21, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
09:02

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population

Published on: January 31, 2025

1.7K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.7K
A Multimodal Wide-Field Fourier-Transform Raman Microscope
06:48

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

547

Area of Science:

  • Signal Processing
  • Applied Mathematics
  • Numerical Analysis

Background:

  • Wavelet analysis is crucial for signal processing and data compression.
  • Existing wavelet bases often have restrictive conditions for construction.
  • Symmetric biorthogonal wavelets offer advantages in filter design and application.

Purpose of the Study:

  • To construct a new class of 4-band symmetric biorthogonal wavelet bases.
  • To establish flexible conditions for wavelet construction.
  • To explore applications requiring efficient boundary processing and computation.

Main Methods:

  • Construction of 4-band symmetric biorthogonal wavelet bases.
  • Derivation of high-pass filters from low-pass filters via position exchange and sign change.
  • Analysis of transformation matrix properties.
  • Development of an optimal model with high vanishing moments.

Main Results:

  • A novel class of 4-band symmetric biorthogonal wavelet bases was successfully constructed.
  • The construction method allows for the least restrictive conditions, enabling reversed free degrees for specific applications.
  • Concrete examples with high vanishing moments were provided.
  • The properties of the transformation matrix were studied, leading to an optimal model.

Conclusions:

  • The developed symmetric biorthogonal wavelets offer convenient boundary processing.
  • These wavelets facilitate highly efficient computations in practical applications.
  • The flexible construction conditions enhance the adaptability of wavelet systems.