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

Deconvolution

Deconvolution

Deconvolution, also known as inverse filtering, is the process of extracting the impulse response from known input and output signals. This technique is vital in scenarios where the system's characteristics are unknown, and they must be inferred from the observable signals.
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...

Discrete Fourier Transform

Discrete Fourier Transform

The Discrete Fourier Transform (DFT) is a fundamental tool in signal processing, extending the discrete-time Fourier transform by evaluating discrete signals at uniformly spaced frequency intervals. This transformation converts a finite sequence of time-domain samples into frequency components, each representing complex sinusoids ordered by frequency. The DFT translates these sequences into the frequency domain, effectively indicating the magnitude and phase of each frequency component present...

Convergence of Fourier Series

Convergence of Fourier Series

The Fourier series is a powerful mathematical tool for representing periodic signals as an infinite sum of complex exponentials. In practice, this infinite series is truncated to a finite number of terms, yielding a partial sum. This truncation makes the approximation of the signal feasible but introduces certain challenges, particularly near discontinuities, known as the Gibbs phenomenon.
The Gibbs phenomenon refers to the persistent oscillations and overshoots that occur near discontinuities...

Basic signals of Fourier Transform

Basic signals of Fourier Transform

The Fourier Transform is a pivotal mathematical tool in signal processing, enabling the transformation of time-domain signals into their frequency-domain representations. Among the numerous elements within this domain, certain functions like the sinc function, delta function, and exponential signals hold significant importance due to their unique properties and implications.
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at zero. It...

Properties of Fourier Transform I

Properties of Fourier Transform I

The application of Fourier Transform properties in radio broadcasting is multifaceted, enabling significant advancements in the way signals are transmitted and received. Key areas where these properties are utilized include simultaneous multi-channel transmission, audio clip speed adjustments, live broadcast delays for different time zones, audio frequency adjustments, and signal demodulation.
In radio broadcasting, multiple audio signals often need to be transmitted simultaneously. The Fourier...

Discrete-time Fourier transform

Discrete-time Fourier transform

The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...

You might also read

Related Articles

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

Sort by

Same author

The distinctive characteristics of the micro-vasculature and immune cell infiltration in cystic pancreatic neuroendocrine tumors.

Journal of endocrinological investigation·2020

Same author

[A summary of China's 70 years of development in diagnosis and treatment targeting corneal diseases].

[Zhonghua yan ke za zhi] Chinese journal of ophthalmology·2020

Same author

[A special on epidemic prevention and control: ophthalmologic research and prevention of 2019 novel coronavirus based on ocular manifestations of viral diseases].

[Zhonghua yan ke za zhi] Chinese journal of ophthalmology·2020

Same author

Transmission of viral pathogens in a social network of university students: the eX-FLU study.

Epidemiology and infection·2020

Same author

Long noncoding RNA UCA1 promotes proliferation and metastasis of thyroid cancer cells by sponging miR-497-3p.

European review for medical and pharmacological sciences·2020

Same author

[Bronchiolar adenoma: a clinicopathological analysis of 15 cases].

Zhonghua bing li xue za zhi = Chinese journal of pathology·2020

Search research articles

Related Experiment Video

Updated: Jun 28, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Wavelet transform-based Fourier deconvolution for resolving oscillographic signals.

X Zhang¹, J Zheng, H Gao

¹Institute of Electroanalytical Chemistry, Northwest University, Xi'an 710069, People's Republic of China.

|October 31, 2008

Summary

This study introduces a novel wavelet transform-based Fourier deconvolution method. It enhances signal resolution and reduces noise sensitivity, offering a convenient alternative for electrochemical signal analysis.

More Related Videos

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Published on: January 17, 2025

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

Published on: July 5, 2016

Related Experiment Videos

Last Updated: Jun 28, 2026

A Multimodal Wide-Field Fourier-Transform Raman Microscope

A Multimodal Wide-Field Fourier-Transform Raman Microscope

Published on: December 30, 2025

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Functional Near-Infrared Spectroscopy Hyperscanning Study in Psychological Counseling

Published on: January 17, 2025

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

Published on: July 5, 2016

Area of Science:

Analytical Chemistry
Signal Processing

Background:

Fourier self-deconvolution effectively resolves overlapped bands but is sensitive to noise and requires a mathematical model.
Wavelet transform offers noise reduction and feature capturing due to its time-frequency localization properties.

Purpose of the Study:

To propose a wavelet transform-based Fourier deconvolution method for improved signal resolution and noise robustness.
To provide a convenient deconvolution technique for electrochemical signals without requiring a mathematical model.

Main Methods:

Wavelet transform was used to obtain discrete approximations of the original data for deconvolution.
A discrete approximation was employed as a lineshape function for deconvolution.
B-spline wavelet was utilized for smoothing deconvolved data to enhance signal-to-noise ratio.

Main Results:

The proposed method demonstrates reduced sensitivity to noise compared to traditional Fourier self-deconvolution.
Significant resolution enhancement was achieved, particularly for signals with high noise levels.
The method eliminates the need for a mathematical model, simplifying the deconvolution process.

Conclusions:

Wavelet transform-based Fourier deconvolution offers a robust and convenient approach for spectral band resolution.
This technique is particularly advantageous for analyzing noisy electrochemical signals.
The method significantly improves signal-to-noise ratio and resolution without complex modeling.