Copula-based positive time-frequency distributions of the phonocardiogram
Hisashi Yoshida1, Tadashi Ikegami, Sho Kikkawa
1Dept. of Electron. Syst. & Information Eng., Kinki Univ., Wakayama, Japan. yoshida@info.waka.kindai.ac.jp
Summary
This study presents a novel copula-based time-frequency analysis for phonocardiograms, offering superior resolution. This enhanced method improves the analysis of heart sounds for better diagnostic potential.
Area of Science:
- Biomedical Engineering
- Signal Processing
- Cardiology
Background:
- Phonocardiogram (PCG) analysis is crucial for diagnosing heart conditions.
- Traditional time-frequency methods like spectrograms have limitations in resolution and positivity.
Purpose of the Study:
- To introduce a modified copula-based technique for enhanced time-frequency analysis of phonocardiograms.
- To address limitations of existing methods by improving time and frequency resolution and ensuring positivity.
Main Methods:
- A modified copula-based technique was developed, utilizing an averaged spectrogram as a template.
- The method constructs positive time-frequency distributions suitable for periodically stationary random processes.
Main Results:
- The proposed copula-based distributions exhibit significantly better time and frequency resolution compared to standard spectrograms.
- The distributions maintain positivity and correct marginals, crucial for accurate analysis.
Conclusions:
- The copula-based time-frequency distribution offers a powerful tool for phonocardiogram analysis.
- Its high resolution and positivity enable precise estimation of instantaneous frequency and bandwidth, aiding in clinical diagnostics.
Related Concept Videos
Frequency-Domain Interpretation of PD Control
Proportional-Derivative (PD) controllers are widely used in fan control systems to improve stability and performance. A fan control system can be effectively represented using a Bode plot to illustrate the impact of a PD controller through its transfer function. The Bode plot visually conveys how PD control modifies the fan's response across various frequencies, providing a frequency domain interpretation of the controller's behavior.
The proportional control gain, combined with the system's...
The proportional control gain, combined with the system's...
Time-Domain Interpretation of PD Control
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
Consider the example of control of motor torque. Initially, a positive...
Correlation between ECG and Cardiac Cycle
The electrical signals recorded on an electrocardiogram (ECG) occur before the mechanical processes of contraction and relaxation during the cardiac cycle.
A cardiac action potential originates in the SA node and spreads throughout the atria and the AV node in approximately 0.03 seconds. This results in the P wave in an ECG and triggers atrial contraction. The action potential is then briefly slowed at the AV node, allowing the atria to contract and fill the ventricles with blood before...
A cardiac action potential originates in the SA node and spreads throughout the atria and the AV node in approximately 0.03 seconds. This results in the P wave in an ECG and triggers atrial contraction. The action potential is then briefly slowed at the AV node, allowing the atria to contract and fill the ventricles with blood before...
Bode Plots Construction
The Bode plot is an essential tool in control system analysis, mapping the frequency response of a system through a magnitude plot and a phase plot, both against a logarithmic frequency axis. To construct a Bode plot, consider the transfer function H(ω):
Electrocardiogram
An electrocardiogram (ECG or EKG) is a critical diagnostic tool that records the electrical signals produced by the heart during each heartbeat. This recording is achieved through electrodes placed strategically on the arms, legs, and chest. The electrocardiograph amplifies these signals and produces 12 distinct tracings, offering a comprehensive understanding of the heart's electrical activity.
Three major waveforms are present in a typical ECG recording: the P wave, the QRS complex, and the T...
Three major waveforms are present in a typical ECG recording: the P wave, the QRS complex, and the T...
Imaging Studies for Cardiovascular System I:Echocardiography
Cardiac imaging studies encompass a wide range of noninvasive and minimally invasive techniques designed to visualize the heart's structure and function in detail. One such technique is echocardiography, which uses high-frequency ultrasound waves to produce detailed images of the heart, known as echocardiograms.
Indications: Echocardiography is utilized to diagnose heart failure, valve disorders, and myocardial infarction. It also assesses cardiac structures' size, shape, and motion, evaluates...
Indications: Echocardiography is utilized to diagnose heart failure, valve disorders, and myocardial infarction. It also assesses cardiac structures' size, shape, and motion, evaluates...

