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Related Concept Videos

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
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,...
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...
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...
Carrier Generation and Recombination01:22

Carrier Generation and Recombination

Carrier generation is the process by which electron-hole pairs (EHPs) are created within the semiconductor. In direct-bandgap semiconductors, such as gallium arsenide (GaAs), this occurs efficiently when energy absorption prompts valence electrons to leap into the conduction band, leaving behind holes.
This process is given by the generation rate G and is efficient due to the conservation of momentum between the valence band maximum and conduction band minimum.
Indirect generation involves an...
Determination of Expected Frequency01:08

Determination of Expected Frequency

Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...

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Related Experiment Video

Updated: May 18, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

A complex-weighted, decision-aided, maximum-likelihood carrier phase and frequency-offset estimation algorithm for

Adaickalavan Meiyappan1, Pooi-Yuen Kam, Hoon Kim

  • 1Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore.

Optics Express
|October 6, 2012
PubMed
Summary
This summary is machine-generated.

We developed a new optical receiver estimator for faster, more accurate carrier phase and frequency tracking in digital communication systems. This advanced method improves signal reception, especially for high-speed data transmission.

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Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

Related Experiment Videos

Last Updated: May 18, 2026

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping

Published on: March 20, 2017

Quasi-light Storage for Optical Data Packets
07:45

Quasi-light Storage for Optical Data Packets

Published on: February 6, 2014

Area of Science:

  • Optical Engineering
  • Digital Communications
  • Signal Processing

Background:

  • Coherent optical receivers are crucial for high-speed data transmission.
  • Accurate carrier phase and frequency estimation are essential for receiver performance.
  • Existing methods face limitations in speed and estimation range.

Purpose of the Study:

  • To introduce a novel complex-weighted, decision-aided, maximum-likelihood (CW-DA-ML) estimator for carrier phase and frequency offset.
  • To achieve rapid carrier phase and frequency tracking with a wide estimation range.
  • To evaluate the performance of the CW-DA-ML estimator in terms of speed and accuracy.

Main Methods:

  • Implementation of a CW transversal filter for carrier reference phasor generation.
  • On-line adaptation of filter weights using linear regression on observed signals.
  • Development of a modulo-R reduced frequency offset estimation (FOE) technique.

Main Results:

  • Achieved a complete modulo-R reduced frequency offset estimation range of ±R/2, independent of modulation format.
  • Demonstrated rapid carrier phase and frequency tracking.
  • Showcased frequency offset acquisition speeds over 5 times faster than differential FOE for 4-PSK signals.
  • Observed a constant ~1 dB penalty at a bit-error rate of 10⁻⁴ for 4-PSK signals across various frequency offsets.

Conclusions:

  • The CW-DA-ML estimator offers significant improvements in speed and range for carrier phase and frequency offset estimation.
  • This novel approach enhances the performance of coherent optical receivers, particularly in challenging signal conditions.
  • The demonstrated performance indicates suitability for advanced digital communication systems.