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

Reconstruction of Signal using Interpolation01:10

Reconstruction of Signal using Interpolation

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 sampling...
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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.
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Definition of Laplace Transform01:22

Definition of Laplace Transform

The Laplace transform is an indispensable mathematical technique for simplifying the resolution of differential equations by converting them into more manageable algebraic expressions. The Laplace transform of a function is denoted by L[x(t)], where x(t) is the time-domain function. The laplace transform is mathematically expressed as

You might also read

Related Articles

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

Sort by
Same author

A non-invasive, patient-derived organoid platform from uterine lavage fluid for modeling endometrial implantation and disease.

Stem cell research & therapy·2026
Same author

Informed Consent Disclosures and Minimum Requirements in AI Clinical Trials: Cross-Sectional Analysis.

Journal of medical Internet research·2026
Same author

A three-dimensional dynamic in vitro bone remodeling model reveals multicellular effects of anti-osteoporotic agents.

Life sciences·2026
Same author

Neural Architecture Search With Spatial-Spectral Attention for Higher-Order Nonlinear Hyperspectral Unmixing.

IEEE transactions on neural networks and learning systems·2026
Same author

Vitamin E and related tocols in cancer: Unraveling the paradox of antioxidant and pro-oxidant roles.

The Journal of nutritional biochemistry·2026
Same author

Lnc-Gm26626 in visceral adipose tissues participates in energy metabolism via IDH3α-associated tricarboxylic acid cycle activity.

The Journal of nutritional biochemistry·2025

Related Experiment Video

Updated: May 8, 2026

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
10:44

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging

Published on: June 21, 2024

Lattice structure for generalized-support multidimensional linear phase perfect reconstruction filter bank.

Xieping Gao, Bodong Li, Fen Xiao

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |August 27, 2013
    PubMed
    Summary

    This study introduces generalized-support multidimensional linear phase perfect reconstruction filter banks (GSMDLPPRFB) using a novel lattice structure. This approach expands design choices, improving the trade-off between filter support and performance.

    More Related Videos

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    Related Experiment Videos

    Last Updated: May 8, 2026

    Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
    10:44

    Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging

    Published on: June 21, 2024

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
    08:39

    Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

    Published on: January 28, 2019

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture
    09:04

    Lens-free Video Microscopy for the Dynamic and Quantitative Analysis of Adherent Cell Culture

    Published on: February 23, 2018

    Area of Science:

    • Digital Signal Processing
    • Filter Bank Design
    • Lattice Structures

    Background:

    • Multidimensional linear phase perfect reconstruction filter banks (MDLPPRFB) are typically designed using lattice structures with specific filter support constraints.
    • Existing methods, like Muramatsu's, limit the choice of diagonal matrices (Ξ), restricting filter bank design options.

    Purpose of the Study:

    • To develop a generalized lattice structure for multidimensional filter banks with flexible filter support (GSMDLPPRFB).
    • To establish theoretical conditions for designing and ensuring the existence of these generalized filter banks.

    Main Methods:

    • Established necessary and sufficient conditions for linear-phase generalized-support multidimensional filter banks.
    • Proposed necessary conditions for GSMDLPPRFB existence based on filter support and symmetry polarity (ns, na).
    • Developed a minimal lattice structure for GSMDLPPRFB using a novel polyphase matrix combination method.

    Main Results:

    • The developed lattice structure for GSMDLPPRFB offers more design flexibility than previous methods.
    • The theoretical conditions provide guidance for designing and identifying suitable GSMDLPPRFB.
    • The proposed method encompasses Muramatsu's work as a special case.

    Conclusions:

    • The novel lattice structure and theoretical framework enable the design of generalized-support multidimensional linear phase perfect reconstruction filter banks.
    • This work expands the design space for filter banks, allowing for optimized performance and support characteristics.