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Related Concept Videos

Synthetic Disvision of Polynomials01:28

Synthetic Disvision of Polynomials

Synthetic division is an efficient algorithmic approach for dividing a polynomial by a linear binomial of the form x - c, where c is a real number. This method is helpful due to its streamlined process, which avoids the more cumbersome steps involved in the traditional long division of polynomials. It simplifies computation and serves as a practical tool for evaluating polynomials and identifying their factors.To perform synthetic division, one begins by listing the coefficients of the...
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-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...
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.
Frequency-Domain Interpretation of PD Control01:24

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...
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,...

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Related Experiment Video

Updated: Jul 6, 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

Fully complex synthetic discriminant functions written onto phase-only modulators.

J Campos, A Márquez, M J Yzuel

    Applied Optics
    |March 21, 2008
    PubMed
    Summary
    This summary is machine-generated.

    Synthetic discriminant functions (SDFs) can now be implemented on phase-only spatial light modulators (SLMs) without iterative methods. This new technique encodes complex SDF filters, enhancing pattern recognition capabilities with liquid-crystal SLMs.

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    Published on: January 28, 2019

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    Area of Science:

    • Optics
    • Pattern Recognition
    • Information Technology

    Background:

    • Synthetic discriminant functions (SDFs) are vital for pattern recognition.
    • Implementing complex SDFs on spatial light modulators (SLMs) is challenging due to coding domain restrictions.
    • Iterative methods are typically needed for SDF filter implementation on real SLMs.

    Purpose of the Study:

    • To present a novel technique for encoding arbitrary complex SDF filters onto phase-only SLMs.
    • To eliminate the need for iterative algorithms in SDF filter implementation.
    • To investigate the discrimination capabilities of fully complex SDF filters.

    Main Methods:

    • Developed a technique to encode amplitude information onto phase-only filters.
    • Applied this technique to generate arbitrary complex SDF filters.
    • Utilized liquid-crystal SLMs for experimental implementation and validation.

    Main Results:

    • Successfully encoded arbitrary complex SDF filters onto phase-only SLMs.
    • Demonstrated the avoidance of iterative algorithms for SDF filter generation.
    • Experimental results validated the discrimination capabilities of the designed filters.

    Conclusions:

    • The proposed technique enables direct implementation of complex SDF filters on phase-only SLMs.
    • This method simplifies and enhances pattern recognition applications.
    • Further examination of SDF filter design parameters and constraints is warranted.