Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Reconstruction of Signal using Interpolation

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...

You might also read

Related Articles

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

Sort by

Same author

Spatial and temporal regularization to estimate COVID-19 reproduction number R(t): Promoting piecewise smoothness via convex optimization.

PloS one·2020

Same author

Adaptive multimode signal reconstruction from time-frequency representations.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2016

Same author

Quantitative Live Single-cell Mass Spectrometry with Spatial Evaluation by Three-Dimensional Holographic and Tomographic Laser Microscopy.

Analytical sciences : the international journal of the Japan Society for Analytical Chemistry·2016

Same author

When Interpolation-Induced Reflection Artifact Meets Time-Frequency Analysis.

IEEE transactions on bio-medical engineering·2016

Same author

2D Prony-Huang transform: a new tool for 2D spectral analysis.

IEEE transactions on image processing : a publication of the IEEE Signal Processing Society·2014

Same author

Characterization of dynamic interactions between cardiovascular signals by time-frequency coherence.

IEEE transactions on bio-medical engineering·2011

Search research articles

Related Experiment Video

Updated: May 27, 2026

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

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

Published on: January 28, 2019

Phase extraction in speckle interferometry by a circle fitting procedure in the complex plane.

Sébastien Equis¹, Patrick Flandrin, Pierre Jacquot

¹Swiss Federal Institute of Technology, Nanophotonics and Metrology Laboratory, 1015 Lausanne, Switzerland. sebastien.equis@epfl.ch

|December 6, 2011

Summary

This summary is machine-generated.

This study introduces a novel circle fitting method for speckle interferometry (SI) to accurately remove background noise from temporal signals. The new approach enhances the determination of instantaneous frequency, outperforming empirical mode decomposition (EMD).

More Related Videos

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Live Cell Imaging of F-actin Dynamics via Fluorescent Speckle Microscopy (FSM)

Live Cell Imaging of F-actin Dynamics via Fluorescent Speckle Microscopy (FSM)

Published on: August 5, 2009

Related Experiment Videos

Last Updated: May 27, 2026

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

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

Published on: January 28, 2019

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform

Published on: February 12, 2014

Live Cell Imaging of F-actin Dynamics via Fluorescent Speckle Microscopy (FSM)

Live Cell Imaging of F-actin Dynamics via Fluorescent Speckle Microscopy (FSM)

Published on: August 5, 2009

Area of Science:

Optical Metrology
Signal Processing
Interferometry

Background:

Speckle interferometry (SI) signals are characterized by amplitude and frequency modulation with fluctuating backgrounds.
Accurate background intensity elimination is crucial for subsequent phase computation in SI.
Existing methods like empirical mode decomposition (EMD) can struggle with background removal in challenging sampling conditions.

Purpose of the Study:

To develop a robust and novel method for background intensity elimination in speckle interferometry signals.
To accurately determine instantaneous frequency and modulation depth from complex temporal signals.
To compare the performance of the new method against empirical mode decomposition (EMD).

Main Methods:

Constructing a complex signal from the raw speckle interferometry data.
Fitting a circle to the sampled values of the complex signal in the complex plane.
Locally adapting the length of the point set used for the circle fit to the signal characteristics.

Main Results:

The novel circle fitting method successfully yields background intensity and modulation depth.
The method accurately determines the instantaneous frequency of the signal.
The approach demonstrates superior robustness compared to EMD, particularly for critically sampled or oversampled signals.

Conclusions:

The proposed circle fitting technique offers a significant advancement for background removal in speckle interferometry.
This method provides reliable computation of key signal parameters, enhancing the accuracy of SI measurements.
The technique is particularly advantageous in scenarios where EMD-based background elimination is prone to errors.