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

Mixing Time01:19

Mixing Time

481
The concept of mixing time is significant in producing a uniform concrete mix with the required strength. The mixing period starts once all components are in the mixer. Initially, the mixer is charged with 10% of the water, followed by the consistent addition of solids and then 80% of the water. The remaining water is added later, within the first quarter of the mixing period. The minimum mixing time varies according to the mixer's capacity; for example, mixers with up to 1 cubic yard...
481
Framing Effects03:26

Framing Effects

8.0K
Information is everywhere and its presentation—such as how and when items are presented—can impact our perceptions and decisions surrounding the info. This broad concept umbrellas framing effects—influences that occur due to the way information is framed in its appearance, whether it’s purely the order or the specific wording of a message. Let’s take a look at numerous ways in which two versions of something can objectively say the same thing, yet we respond in...
8.0K
Frames01:30

Frames

844
Frames are essential components of various mechanical and structural systems used daily. These structures are known for their stability and ability to bear heavy loads. A frame is constructed using two-force and multi-force members, interconnected using pin joints. In contrast, trusses are made entirely of two-force members.
Frames are versatile and widely used in various applications such as structural supports for beams and columns, automobile chassis construction, and in the construction...
844
Frames: Problem Solving II01:26

Frames: Problem Solving II

501
Consider a hydraulic hoist supporting a load of 1 kN. Assuming a simplified schematic representation of this frame structure, the force acting on BD and BF members can be determined.
501
Rationalizing Substitutions01:29

Rationalizing Substitutions

59
Integrals involving non-rational functions are often difficult to evaluate using standard techniques, especially when radicals appear in the integrand. Rationalizing substitution provides a systematic method for simplifying such integrals by converting them into rational forms that are easier to handle.Consider a rod whose linear mass density depends on a constant linear density, a characteristic length, and the distance from the left end of the rod. Determining the total mass requires...
59
Frames: Problem Solving I01:24

Frames: Problem Solving I

974
Consider a jib crane with an external load suspended from the pulley. The dimensions of the crane members are shown in the figure. A systematic analysis of the frame structure is required to determine the reaction forces at the pin joints, assuming that the pulleys are frictionless.
974

You might also read

Related Articles

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

Sort by
Same author

A human serum albumin-binding-based fluorescent probe for monitoring hydrogen sulfide and bioimaging.

The Analyst·2024
Same author

A structural optimized fluorescent probe for monitoring hydrogen sulfide in cells and zebrafish.

Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy·2024
Same author

A time domain characterization of vector-valued subspace weak Gabor bi-frames.

Journal of inequalities and applications·2018
Same author

Some new inequalities for continuous fusion frames and fusion pairs.

SpringerPlus·2016
Same author

Prevention and treatment effect of total flavonoids in Stellera chamaejasme L. on nonalcoholic fatty liver in rats.

Lipids in health and disease·2015

Related Experiment Video

Updated: Feb 3, 2026

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
14:58

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters

Published on: June 2, 2010

10.0K

Subspace mixed rational time-frequency multiwindow Gabor frames and their Gabor duals.

Yan Zhang1, Yun-Zhang Li2

  • 11School of Mathematics and Information Science, North Minzu University, Yinchuan, P.R. China.

Journal of Inequalities and Applications
|October 27, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces subspace mixed multiwindow Gabor systems, a generalization of standard Gabor systems. Researchers characterized these systems and their duals, revealing key differences from traditional multiwindow Gabor frames.

Keywords:
DualGabor dualGabor frameMixed multiwindow Gabor frameOblique dual

More Related Videos

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
06:51

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

7.5K
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

43.6K

Related Experiment Videos

Last Updated: Feb 3, 2026

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
14:58

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters

Published on: June 2, 2010

10.0K
Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations
06:51

Microparticle Manipulation by Standing Surface Acoustic Waves with Dual-frequency Excitations

Published on: August 21, 2018

7.5K
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

43.6K

Area of Science:

  • Signal Processing
  • Harmonic Analysis
  • Time-Frequency Analysis

Background:

  • Standard multiwindow Gabor systems utilize common time-frequency shifts.
  • Mixed multiwindow Gabor systems offer a generalization with window-dependent shifts.

Purpose of the Study:

  • To characterize subspace mixed multiwindow Gabor frames with rational time-frequency product lattices.
  • To extend previous work on discrete and continuous subspace mixed Gabor systems.

Main Methods:

  • Utilized a Zak transform matrix method for analysis.
  • Characterized Gabor frames and their duals within subspace mixed multiwindow systems.

Main Results:

  • Obtained explicit expressions for Gabor duals.
  • Established criteria for the uniqueness of Gabor duals.
  • Demonstrated significant differences between mixed and usual multiwindow Gabor frames through examples.

Conclusions:

  • The characterization of subspace mixed multiwindow Gabor frames provides new insights into their properties.
  • Explicit dual frame expressions and uniqueness conditions are established.
  • The findings highlight the distinct nature of mixed multiwindow Gabor frames compared to their standard counterparts.