Jove
Visualize
Contact Us

Related Concept Videos

Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

359
In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
359
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

309
Consider an electrical power grid, where stability is essential to prevent blackouts. The Routh-Hurwitz criterion is a valuable tool for assessing system stability under varying load conditions or faults. By analyzing the closed-loop transfer function, the Routh-Hurwitz criterion helps determine whether the system remains stable.
To apply the Routh-Hurwitz criterion, a Routh table is constructed. The table's rows are labeled with powers of the complex frequency variable s, starting from the...
309
Bulk Modulus01:21

Bulk Modulus

372
The bulk modulus is a scientific term used to describe a material's resistance to uniform compression. It is the proportionality constant that links a change in pressure to the resulting relative volume change.
372
Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

9.8K
The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
9.8K
Compacting Factor test01:22

Compacting Factor test

233
The compacting factor test is a method used to assess the workability of concrete. It is  especially suitable for concrete mixes containing aggregates up to one and a half inches in size. This test involves specialized equipment consisting of two truncated cone-shaped hoppers and a cylinder, all with polished interior surfaces to minimize friction.
The procedure begins by placing concrete into the upper hopper without any compaction. Once filled, the bottom door of this hopper is opened,...
233
Block Diagram Reduction01:22

Block Diagram Reduction

269
The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
269

You might also read

Related Articles

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

Sort by
Same author

LLM4FB: A One-Sided CSI Feedback and Prediction Framework for Lightweight UEs via Large Language Models.

Sensors (Basel, Switzerland)·2026
Same author

Enhance the Performance of Expectation Propagation Detection in Spatially Correlated Massive MIMO Channels via DFT Precoding.

Entropy (Basel, Switzerland)·2025
Same author

Two-Phase Globally Coupled Low-Density Parity Check Decoding Aided with Early Termination and Forced Convergence.

Sensors (Basel, Switzerland)·2024
Same author

On the Secure Performance of Intelligent Reflecting Surface-Assisted HARQ Systems.

Entropy (Basel, Switzerland)·2023
Same author

Sparse-View CT Reconstruction Based on a Hybrid Domain Model with Multi-Level Wavelet Transform.

Sensors (Basel, Switzerland)·2022
Same author

A Low Sampling Rate Receiver Design for Multi-Antenna Multi-User OFDM Systems.

Entropy (Basel, Switzerland)·2022
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 Experiment Video

Updated: Aug 25, 2025

Density Gradient Multilayered Polymerization DGMP: A Novel Technique for Creating Multi-compartment, Customizable Scaffolds for Tissue Engineering
12:54

Density Gradient Multilayered Polymerization DGMP: A Novel Technique for Creating Multi-compartment, Customizable Scaffolds for Tissue Engineering

Published on: February 12, 2013

12.6K

Constructing Grith Eight GC-LDPC Codes Based on the GCD FLRM Matrix with a New Lower Bound.

Kun Zhu1, Hongwen Yang1

  • 1School of Information and Communication, Beijing University of Posts and Telecommunications, Beijing 100876, China.

Sensors (Basel, Switzerland)
|October 14, 2022
PubMed
Summary

Researchers developed a new method for constructing globally coupled (GC) low-density parity-check (LDPC) codes. This approach reduces complexity and improves performance by optimizing the circulant permutation matrix (CPM) size, enabling more flexible code design.

Keywords:
full-length row multiplier matrixglobally coupled LDPCgreatest common divisorlarge girth

More Related Videos

Design and Synthesis of a Reconfigurable DNA Accordion Rack
07:44

Design and Synthesis of a Reconfigurable DNA Accordion Rack

Published on: August 15, 2018

7.2K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

21.9K

Related Experiment Videos

Last Updated: Aug 25, 2025

Density Gradient Multilayered Polymerization DGMP: A Novel Technique for Creating Multi-compartment, Customizable Scaffolds for Tissue Engineering
12:54

Density Gradient Multilayered Polymerization DGMP: A Novel Technique for Creating Multi-compartment, Customizable Scaffolds for Tissue Engineering

Published on: February 12, 2013

12.6K
Design and Synthesis of a Reconfigurable DNA Accordion Rack
07:44

Design and Synthesis of a Reconfigurable DNA Accordion Rack

Published on: August 15, 2018

7.2K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

21.9K

Area of Science:

  • Coding Theory
  • Information Theory
  • Digital Communications

Background:

  • Globally coupled (GC) low-density parity-check (LDPC) codes offer high performance and low complexity by combining local and global parity checks.
  • Quasi-cyclic (QC) LDPC codes are commonly used as local codes, with their design linked to the size of the circulant permutation matrix (CPM).
  • Existing methods for constructing GC-LDPC codes, particularly those using greatest common divisor (GCD)-based full-length row multiplier (FLRM) matrices, have constraints on CPM size to avoid cycles, impacting efficiency.

Purpose of the Study:

  • To identify a new, tighter lower bound for the circulant permutation matrix (CPM) size in GC-LDPC code construction.
  • To propose an efficient algorithm for determining the minimum CPM size and the corresponding FLRM matrix.
  • To develop novel methods for constructing GC-QC-LDPC codes with a girth of 8, leveraging the new lower bound and algorithm.

Main Methods:

  • Derivation of a new lower bound for the CPM size, improving upon existing constraints for avoiding short cycles.
  • Development of an algorithm to compute the minimum required CPM size and identify the associated FLRM matrix.
  • Construction of GC-QC-LDPC codes with girth 8 using two distinct methods based on the proposed algorithm and GCD-based FLRM matrices.

Main Results:

  • The proposed algorithm achieves a significant reduction in CPM size, up to 45% smaller than previously established sufficient conditions for girth 8.
  • The newly constructed GC-QC-LDPC codes demonstrate improved performance compared to conventional GC-LDPC constructions.
  • The method offers enhanced flexibility in designing code length and code rate for GC-LDPC codes.

Conclusions:

  • The novel lower bound and construction algorithm provide a more efficient way to design GC-LDPC codes.
  • The proposed GC-QC-LDPC codes offer superior performance and greater design flexibility, making them suitable for various communication applications.
  • This research contributes to the advancement of efficient and high-performance error-correcting codes.