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Related Concept Videos

Wave Parameters01:10

Wave Parameters

The simplest mechanical waves are associated with simple harmonic motion and repeat themselves for several cycles. These simple harmonic waves can be modeled using a combination of sine and cosine functions. Consider a simplified surface water wave that moves across the water's surface. Unlike complex ocean waves, in surface water waves, water moves vertically, oscillating up and down, whereas the disturbance of the wave moves horizontally through the medium. If a seagull is floating on the...
RMS Value in AC Circuit01:13

RMS Value in AC Circuit

The root mean square (RMS) value is a measure of the effective or average value of an alternating current (AC) waveform. In AC circuits, the voltage or current waveform constantly changes direction and magnitude, making it difficult to describe with a single value. The RMS value provides a convenient way to calculate the equivalent DC voltage or current that would produce the same heating effect in a resistor as the AC waveform.
Mathematically, the RMS value of an AC waveform is the square root...
Beats01:09

Beats

The study of music provides many examples of the superposition of waves and the constructive and destructive interference that occurs. Very few examples of music being performed consist of a single source playing a single frequency for an extended period of time. A single frequency of sound for an extended period might be monotonous to the point of irritation, similar to the unwanted drone of an aircraft engine or a loud fan. Music is pleasant and exciting due to mixing the changing frequencies...
Graphical and Analytic Representation of Sinusoids01:20

Graphical and Analytic Representation of Sinusoids

Analyzing two sinusoidal voltages with equal amplitude and period but different phases on an oscilloscope, an instrument used to display and analyze waveforms, involves a three-step process.
The first step is measuring the peak-to-peak value, which is twice the amplitude of the sinusoid. This provides information about the maximum voltage swing of the waveform.
Secondly, the period and angular frequency are determined. The period is the time taken for one complete cycle of the waveform, while...
Average Power01:13

Average Power

In practical electrical applications, the concept of time-varying instantaneous power is not frequently utilized. Instead, focus shifts to the more practical quantity known as average power. Average power is determined by integrating the instantaneous power over a specified time period and subsequently dividing it by that duration.
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...

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Related Experiment Video

Updated: Jul 15, 2026

Averaging of Viral Envelope Glycoprotein Spikes from Electron Cryotomography Reconstructions using Jsubtomo
08:29

Averaging of Viral Envelope Glycoprotein Spikes from Electron Cryotomography Reconstructions using Jsubtomo

Published on: October 21, 2014

A simple algorithm for averaging multiple cycles of waveforms having varying cycle periods.

P H Abbrecht1, I M Thio, R R Kyle

  • 1Department of Physiology and Medicine, Uniformed Services University of the Health Sciences, Bethesda, MD 209814-4799.

Computer Applications in the Biosciences : CABIOS
|October 1, 1991
PubMed
Summary

This study introduces a novel method for averaging variable-period waveforms, preserving their essential shape. The technique converts time-based data into cycle-fraction data for accurate waveform analysis.

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Area of Science:

  • Biomedical Engineering
  • Signal Processing
  • Physiological Monitoring

Background:

  • Cyclical waveforms with varying periods are common in physiological signals.
  • Accurate averaging of such waveforms is crucial for reliable data analysis.
  • Existing methods may not adequately preserve waveform morphology.

Purpose of the Study:

  • To develop a simple and effective method for averaging cyclical waveforms with variable periods.
  • To ensure the preservation of waveform morphology during the averaging process.
  • To facilitate the integration of data acquisition and analysis for physiological research.

Main Methods:

  • A novel algorithm is presented for averaging waveforms with non-uniform cycle lengths.
  • Data is converted from a fixed time-per-point format to a fixed fraction-of-cycle format.
  • The ASYST system is utilized for efficient computation and integrated data handling.

Main Results:

  • The proposed method successfully averages multiple cycles while preserving waveform morphology.
  • Demonstrated effectiveness in processing cyclical waveforms from respiratory research.
  • The conversion to fraction-of-cycle data ensures accurate representation of waveform features.

Conclusions:

  • The developed method offers a robust approach for analyzing variable-period cyclical waveforms.
  • This technique enhances the accuracy of physiological signal analysis, particularly in respiratory research.
  • The ASYST system implementation streamlines the data acquisition and analysis workflow.