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Related Concept Videos

Phasor Arithmetics01:13

Phasor Arithmetics

Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular frequency.
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...
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...
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...
Op Amp AC Circuits01:18

Op Amp AC Circuits

Within an audio system, the filter circuit plays a pivotal role in processing the amplified audio signal from an amplifier. Its primary function is significantly attenuating signal components with lower frequencies, thereby shaping the audio output. This circuit's operations are examined, focusing on the fundamental filter configuration. This configuration involves an operational amplifier arranged in an inverting setup coupled with resistors (R1 and R2) and a capacitor (C1).

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Related Experiment Video

Updated: Jun 10, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Multiple-filter approach to phase retrieval from modulus data.

B R Frieden, C Oh

    Applied Optics
    |August 20, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel Wiener-filter method for phase reconstruction from modulus data, successfully recovering object details even with noise and data gaps. The approach ensures recognizable images in various challenging conditions.

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    Last Updated: Jun 10, 2026

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    Published on: January 28, 2019

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    Time Multiplexing Super Resolving Technique for Imaging from a Moving Platform
    06:25

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    Published on: February 12, 2014

    Area of Science:

    • Image reconstruction
    • Signal processing
    • Computational imaging

    Background:

    • Phase retrieval from modulus data is a fundamental challenge in various imaging applications.
    • Existing methods often struggle with noise and incomplete data.
    • Developing robust phase reconstruction algorithms is crucial for accurate image recovery.

    Purpose of the Study:

    • To develop a new Wiener-filter based approach for phase reconstruction from modulus data.
    • To address the limitations of existing methods in handling noise and data gaps.
    • To demonstrate the effectiveness of the proposed method through numerical simulations.

    Main Methods:

    • A set of Wiener-filter functions is designed to operate on displaced modulus data in the frequency domain.
    • The method minimizes an L(2)-error norm to find the object's spectral solution.
    • Required statistics include signal and noise power spectra, and cross-correlations derived from a learning set of object images.

    Main Results:

    • Numerical simulations using a 3x3 filter array successfully reconstructed space shuttle images.
    • The method demonstrated robustness against varying levels of data noise, data gaps, and filter-construction noise.
    • Reconstructed images were consistently recognizable, indicating successful phase recovery.

    Conclusions:

    • The proposed Wiener-filter approach offers a promising solution for phase reconstruction from modulus data.
    • The method is effective in handling noisy and incomplete measurements.
    • The technique has potential applications in various imaging fields requiring phase information recovery.