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Related Concept Videos

Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any finite,...
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
Phase-lead and Phase-lag Controllers01:22

Phase-lead and Phase-lag Controllers

Understanding the working function of different types of controllers can be illustrated with practical analogies, such as adjusting a stereo's volume equalizer. Cranking up the bass involves a phase-lead controller, which functions as a high-pass filter, while increasing the treble uses a phase-lag controller, which acts as a low-pass filter. PD controllers, similar to high-pass filters, enhance the system's response to high-frequency components. PI controllers, akin to low-pass filters, manage...
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Reconstruction of Signal using Interpolation01:10

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...
Time and frequency -Domain Interpretation of PI Control01:27

Time and frequency -Domain Interpretation of PI Control

Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
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Related Experiment Video

Updated: May 23, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Accurate and low jitter time-interval generators based on phase shifting method.

P Kwiatkowski1, Z Jachna, K Różyc

  • 1Military University of Technology, Kaliskiego 2, 00-908 Warsaw, Poland.

The Review of Scientific Instruments
|April 3, 2012
PubMed
Summary

This study presents two novel time-interval generators using phase shifting. One leverages field-programmable gate array (FPGA) technology for low jitter, offering a cost-effective, high-precision solution.

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Area of Science:

  • Electrical Engineering
  • Digital Electronics
  • Signal Processing

Background:

  • Precise time interval generation is crucial for various electronic systems.
  • Existing methods may face limitations in cost, precision, or jitter performance.
  • Field-programmable gate arrays (FPGAs) offer a flexible platform for digital circuit design.

Purpose of the Study:

  • To introduce two novel time-interval generators utilizing the phase shifting method.
  • To demonstrate the feasibility of using FPGA technology for high-precision timing applications.
  • To achieve low jitter performance across a wide range of time intervals.

Main Methods:

  • Implementation of a time-interval generator using integrated digital clock manager units within an FPGA.
  • Development of a second time-interval generator employing a separate direct digital synthesizer.
  • Application of the phase shifting method for precise time delay generation.

Main Results:

  • The FPGA-based generator achieved jitter below 65 picoseconds (root mean square) from 4 nanoseconds to 50 milliseconds.
  • The direct digital synthesizer-based generator exhibited jitter below 15 picoseconds (root mean square) from 10.2 nanoseconds to 50 milliseconds.
  • Both designs demonstrate the effectiveness of the phase shifting technique.

Conclusions:

  • The phase shifting method is a viable approach for designing low-cost, high-precision time-interval generators.
  • FPGA technology provides a powerful and accessible platform for implementing advanced timing solutions.
  • The developed generators offer competitive jitter performance for demanding applications.