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

Difference from Background: Limit of Detection01:05

Difference from Background: Limit of Detection

4.6K
The limit of detection (LOD) is the smallest amount of analyte that can be distinguished from the background noise. The LOD value corresponds to the concentration at which the analyte signal is three times larger than the standard deviation of the blank signal. Below this value, the analyte signal cannot be differentiated from the background noise. It is calculated by dividing the calibration slope by 3 times the standard deviation of the blank signals.
The LOD indicates the presence or absence...
4.6K
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

56
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,...
56
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

589
When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
589
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

79
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....
79
Upsampling01:22

Upsampling

161
Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
161
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

71
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
71

You might also read

Related Articles

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

Sort by
Same author

The design and synthesis of highly efficient FAK inhibitor for the potential treatment of colorectal cancer harboring KRAS mutation.

Bioorganic chemistry·2026
Same author

Discovery and mutasynthetic optimization of ansatrienin B: A new broad-spectrum inhibitor against RNA viruses.

Acta pharmaceutica Sinica. B·2026
Same author

Temporal and spatial-adapted metal ions delivery system for spinal cord injury repair with Mg-Zn-doped bilayer bioactive glasses.

Journal of nanobiotechnology·2026
Same author

[Effects of arbuscular mycorrhizal fungi inoculation on growth and physiological characteristics of walnut seedlings under NaCl stress].

Ying yong sheng tai xue bao = The journal of applied ecology·2026
Same author

Erratum to "TNF inhibits SARS-CoV-2 induced cell-cell fusion through activating the SDC4-RhoA signaling to promote actin bundles formation" [Cell Insight 5 (2026) 100310].

Cell insight·2026
Same author

Integrated Multiomics Reveals Key Drivers and Immune Cell Phenotypes of Infrapopliteal Atherosclerosis and Calcification.

Annals of vascular surgery·2026
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: May 11, 2025

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
15:06

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

12.8K

Noise Constraints for Nonlinear Exceptional Point Sensing.

Xu Zheng1, Y D Chong1,2

  • 1Nanyang Technological University, Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Singapore 637371, Singapore.

Physical Review Letters
|April 18, 2025
PubMed
Summary
This summary is machine-generated.

Nonlinear exceptional points (EPs) in non-Hermitian systems may not enhance sensing as expected. Noise and nonlinearity create new obstacles, reducing signal-to-noise ratio and altering EP behavior, challenging previous assumptions.

More Related Videos

Author Spotlight: Using Hyperpolarized Xenon-129 MRI to Study Lung Diseases
09:55

Author Spotlight: Using Hyperpolarized Xenon-129 MRI to Study Lung Diseases

Published on: January 5, 2024

1.1K
Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

3.7K

Related Experiment Videos

Last Updated: May 11, 2025

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
15:06

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle

Published on: January 3, 2016

12.8K
Author Spotlight: Using Hyperpolarized Xenon-129 MRI to Study Lung Diseases
09:55

Author Spotlight: Using Hyperpolarized Xenon-129 MRI to Study Lung Diseases

Published on: January 5, 2024

1.1K
Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
13:04

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation

Published on: January 18, 2022

3.7K

Area of Science:

  • Quantum physics
  • Non-Hermitian systems
  • Sensing technologies

Background:

  • Exceptional points (EPs) are critical points in non-Hermitian systems where eigenvalues and eigenvectors merge.
  • EPs offer potential for enhanced sensing but are limited by shot noise divergence.
  • Nonlinear regimes are proposed to overcome these limitations.

Purpose of the Study:

  • Investigate the impact of noise and nonlinearity on EP-enhanced sensing.
  • Analyze the behavior of noise near nonlinear EPs.
  • Determine the feasibility of nonlinear EPs for improved sensing applications.

Main Methods:

  • Analysis of an exemplary nonlinear system.
  • Stochastic numerical simulations.
  • Semianalytical estimation of noise levels.

Main Results:

  • The interplay of noise and nonlinearity introduces new challenges for sensing.
  • Noise displaces EPs in parameter space and reduces their order.
  • This reduction eliminates the expected signal-to-noise ratio divergence.
  • Noise near nonlinear EPs exhibits stronger divergence than predicted by standard models.

Conclusions:

  • Nonlinear EP sensors may not avoid shot noise limitations as previously thought.
  • The study reveals complex noise-EP interactions in nonlinear regimes.
  • Findings necessitate re-evaluation of EP-based sensing strategies.