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

839
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...
839
Routh-Hurwitz Criterion II01:19

Routh-Hurwitz Criterion II

1.2K
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...
1.2K
Pole and System Stability01:24

Pole and System Stability

1.3K
The transfer function is a fundamental concept representing the ratio of two polynomials. The numerator and denominator encapsulate the system's dynamics. The zeros and poles of this transfer function are critical in determining the system's behavior and stability.
Simple poles are unique roots of the denominator polynomial. Each simple pole corresponds to a distinct solution to the system's characteristic equation, typically resulting in exponential decay terms in the system's...
1.3K
Detection of Gross Error: The Q Test01:00

Detection of Gross Error: The Q Test

7.4K
When one or more data points appear far from the rest of the data, there is a need to determine whether they are outliers and whether they should be eliminated from the data set to ensure an accurate representation of the measured value. In many cases, outliers arise from gross errors (or human errors) and do not accurately reflect the underlying phenomenon. In some cases, however, these apparent outliers reflect true phenomenological differences. In these cases, we can use statistical methods...
7.4K
Routh-Hurwitz Criterion I01:15

Routh-Hurwitz Criterion I

677
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...
677
Vector Representation of Complex Numbers01:16

Vector Representation of Complex Numbers

614
Complex numbers, represented in Cartesian coordinates, can also be visualized as vectors. These vectors can be expressed in polar form, emphasizing their magnitude and angle. When a complex number is input into a function, the output is another complex number, highlighting the function's zero point from which the vector representation can originate.
Consider a function defined as the product of the complex factors in the numerator divided by the product of the complex factors in the...
614

You might also read

Related Articles

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

Sort by
Same author

Calcium Overloading-Induced UBE2O Upregulation Alleviates Neuronal Apoptosis.

Molecular neurobiology·2026
Same author

ZER1 Restrains Pressure Overload-Induced Cardiac Remodeling by Targeting DVL2 for Gly/N-Degron-Dependent Degradation.

Advanced science (Weinheim, Baden-Wurttemberg, Germany)·2026
Same author

Duration-dependent effects of sucrose intake on fear extinction via distinct mechanisms in the amygdala and hippocampus.

Brain research·2026
Same author

Synthesis of aza-β-lactams <i>via</i> B(C<sub>6</sub>F<sub>5</sub>)<sub>3</sub>-catalyzed Wolff rearrangement/[2 + 2] cascade cyclization of α-diazoketones with diazenes.

Organic & biomolecular chemistry·2026
Same author

Deep Learning for Classifying and Cognitive Profiling of Subcortical Vascular Cognitive Impairment.

Cyborg and bionic systems (Washington, D.C.)·2026
Same author

Multimodal clocks of human aging.

Cell·2026

Related Experiment Video

Updated: Mar 30, 2026

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

43.8K

Retrace error reconstruction based on point characteristic function.

He Yiwei, Xi Hou, Quan Haiyang

    Optics Express
    |November 13, 2015
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a new method using point characteristic function (PCF) to analyze retrace error in Fizeau interferometers. The PCF method accurately reconstructs retrace error, showing less than 3% difference compared to traditional ray tracing.

    More Related Videos

    Author Spotlight: Revolutionizing Remote Surgery with Augmented Reality and Robotics for Enhanced Precision and Accessibility
    07:46

    Author Spotlight: Revolutionizing Remote Surgery with Augmented Reality and Robotics for Enhanced Precision and Accessibility

    Published on: August 9, 2024

    1.2K
    Generating Strictly Controlled Stimuli for Figure Recognition Experiments
    05:39

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments

    Published on: March 18, 2019

    5.6K

    Related Experiment Videos

    Last Updated: Mar 30, 2026

    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

    43.8K
    Author Spotlight: Revolutionizing Remote Surgery with Augmented Reality and Robotics for Enhanced Precision and Accessibility
    07:46

    Author Spotlight: Revolutionizing Remote Surgery with Augmented Reality and Robotics for Enhanced Precision and Accessibility

    Published on: August 9, 2024

    1.2K
    Generating Strictly Controlled Stimuli for Figure Recognition Experiments
    05:39

    Generating Strictly Controlled Stimuli for Figure Recognition Experiments

    Published on: March 18, 2019

    5.6K

    Area of Science:

    • Optical Engineering
    • Metrology
    • Interferometry

    Background:

    • Interferometers typically operate under null conditions to minimize aberrations.
    • Non-null conditions, common in spatial carrier interferometry and aspheric testing, introduce significant retrace error.
    • Existing retrace error analysis methods rely on 4th-order aberration formalism or ray tracing.

    Purpose of the Study:

    • To analyze retrace error in Fizeau interferometers under high spatial carrier conditions using point characteristic function (PCF).
    • To develop a detailed method for reconstructing retrace error, considering element errors.
    • To compare the PCF method with traditional ray tracing approaches for retrace error analysis.

    Main Methods:

    • Utilized point characteristic function (PCF) for theoretical analysis.
    • Developed a detailed process for reconstructing retrace error.
    • Included analysis with and without optical element errors.
    • Compared results with traditional ray tracing through an interferometer model.

    Main Results:

    • Successfully reconstructed retrace error using the PCF method.
    • Demonstrated the effectiveness of the PCF method by comparing it with ray tracing.
    • Observed a small discrepancy (less than 3%) between PCF and ray tracing results, validating the PCF approach.

    Conclusions:

    • The point characteristic function (PCF) method is an effective tool for analyzing retrace error in Fizeau interferometers under high spatial carrier conditions.
    • The PCF method provides accurate retrace error reconstruction, comparable to established ray tracing techniques.
    • This work offers a novel approach for understanding and mitigating systematic errors in advanced interferometric measurements.