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Related Concept Videos

Continuous -time Fourier Transform01:11

Continuous -time Fourier Transform

The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
Phase Changes01:19

Phase Changes

Phase transitions play an important theoretical and practical role in the study of heat flow. In melting or fusion, a solid turns into a liquid; the opposite process is freezing. In evaporation, a liquid turns into a gas; the opposite process is condensation.
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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.
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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...
Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
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Time and frequency -Domain Interpretation of Phase-lag Control01:21

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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.
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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Published on: January 28, 2019

Optical wavelet transform by the phase-only joint-transform correlator.

P S Erbach, D A Gregory, X Yang

    Applied Optics
    |November 25, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel optical wavelet transform method using phase-only liquid-crystal televisions. The technique enables real-time 2D image processing and multispectral analysis via a joint-transform correlator architecture.

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

    • Optical signal processing
    • Image processing
    • Wavelet transforms

    Background:

    • Optical wavelet transforms offer advantages for real-time image analysis.
    • Spatial light modulators (SLMs) are crucial components in optical processing systems.
    • Joint-transform correlators (JTCs) provide a versatile architecture for optical pattern recognition and signal processing.

    Purpose of the Study:

    • To develop and demonstrate a phase-only optical wavelet transform method.
    • To adapt the joint-transform correlator architecture for wavelet transform operations.
    • To explore the application of this method for real-time 2D image processing and multiwavelet analysis.

    Main Methods:

    • Utilized liquid-crystal televisions (LCTVs) as phase-only spatial light modulators.
    • Employed a joint-transform correlator (JTC) architecture.
    • Encoded wavelets and input images in the JTC's input plane; developed mathematical formalism for phase-only JTC adaptation.

    Main Results:

    • Successfully performed optical wavelet transforms in real time using a novel wavelet.
    • Demonstrated the adaptation of the JTC for phase-only wavelet transformations.
    • Presented simulation and experimental results for multiwavelet (multispectral) analysis using the phase-only JTC.

    Conclusions:

    • The proposed phase-only JTC architecture is effective for real-time optical wavelet transforms.
    • This method facilitates efficient 2D image processing and extends to multiwavelet/multispectral analysis.
    • The use of LCTVs as phase-only SLMs offers a practical approach for advanced optical signal processing.