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Related Concept Videos

Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
Discrete Fourier Transform01:15

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...
Fast Fourier Transform01:10

Fast Fourier Transform

The Fast Fourier Transform (FFT) is a computational algorithm designed to compute the Discrete Fourier Transform (DFT) efficiently. By breaking down the calculations into smaller, manageable sections, the FFT significantly reduces the computational complexity involved. Direct computation of an N-point DFT requires N2 complex multiplications, whereas the FFT algorithm needs only (N/2)log⁡2N multiplications, offering a much faster performance.
The computational efficiency of the FFT becomes...
Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...

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Related Experiment Video

Updated: Jun 26, 2026

High-Resolution Endocardial and Epicardial Optical Mapping in a Sheep Model of Stretch-Induced Atrial Fibrillation
09:17

High-Resolution Endocardial and Epicardial Optical Mapping in a Sheep Model of Stretch-Induced Atrial Fibrillation

Published on: July 29, 2011

Feature extraction of the atrial fibrillation signal using the continuous wavelet transform.

Ken W Lee1, Thomas H Everett, H Tolga Ilhan

  • 1Div. of Cardiology, California Univ., San Francisco, CA, USA.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference
|February 3, 2007
PubMed
Summary

Atrial fibrillation, a common heart rhythm disorder, presents challenges in treatment. New analysis methods reveal organization within this arrhythmia, potentially leading to better therapies for cardiovascular health.

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Estimating Bilateral Atrial Function by Cardiovascular Magnetic Resonance Feature Tracking in Patients with Paroxysmal Atrial Fibrillation
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Estimating Bilateral Atrial Function by Cardiovascular Magnetic Resonance Feature Tracking in Patients with Paroxysmal Atrial Fibrillation

Published on: July 20, 2022

Area of Science:

  • Cardiology
  • Biomedical Engineering
  • Signal Processing

Background:

  • Atrial fibrillation is a primary cause of cardiovascular morbidity and mortality.
  • Despite advances, effective management of atrial fibrillation remains a significant clinical challenge.
  • Periods of organization exist within the chaotic atrial fibrillation signal, but analysis is limited.

Purpose of the Study:

  • To address the limitations in analyzing atrial fibrillation signals due to lack of time-frequency resolution.
  • To explore the utility of the continuous wavelet transform for analyzing atrial fibrillation.
  • To investigate temporal and spatial information regarding arrhythmia organization.

Main Methods:

  • Utilizing the continuous wavelet transform (CWT) for signal analysis.
  • Applying CWT to high-density atrial mappings of atrial fibrillation.
  • Leveraging CWT's time-frequency multi-resolution capabilities.

Main Results:

  • The continuous wavelet transform provides enhanced time-frequency resolution for atrial fibrillation signals.
  • CWT analysis reveals previously uncharacterized temporal and spatial patterns of organization.
  • This method offers a novel approach to understanding arrhythmia dynamics.

Conclusions:

  • The continuous wavelet transform is a valuable tool for analyzing complex cardiac arrhythmias like atrial fibrillation.
  • Understanding organization within atrial fibrillation may pave the way for novel therapeutic strategies.
  • Further research using CWT could improve patient outcomes in cardiovascular care.