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Related Concept Videos

Aliasing01:18

Aliasing

Accurate signal sampling and reconstruction are crucial in various signal-processing applications. A time-domain signal's spectrum can be revealed using its Fourier transform. When this signal is sampled at a specific frequency, it results in multiple scaled replicas of the original spectrum in the frequency domain. The spacing of these replicas is determined by the sampling frequency.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
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.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires careful...
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,...
Discrete-Time Fourier Series01:20

Discrete-Time Fourier Series

The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...

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Related Experiment Video

Updated: Jun 12, 2026

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

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Published on: January 28, 2019

Distortion range of filter synthetic discriminant function binary phase-only filters.

D A Jared

    Applied Optics
    |June 18, 2010
    PubMed
    Summary

    Filter synthetic-discriminant-function binary-phase-only filters (fSDF-BPOFs) show modest performance under image distortion. Effective coverage is limited to 30 degrees for in-plane and 10 degrees for out-of-plane rotation, requiring temporal multiplexing for broader application.

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    Area of Science:

    • Optical Engineering
    • Image Processing
    • Pattern Recognition

    Background:

    • Filter synthetic-discriminant-function binary-phase-only filters (fSDF-BPOFs) are utilized in pattern recognition and image processing.
    • Understanding the performance limits of fSDF-BPOFs under varying distortion is crucial for practical applications.

    Purpose of the Study:

    • To evaluate the performance of fSDF-BPOFs with images outside the training set.
    • To determine the effective distortion range for fSDF-BPOFs in terms of in-plane and out-of-plane rotations.

    Main Methods:

    • Performance evaluation of fSDF-BPOFs using images with varying degrees of in-plane and out-of-plane rotation.
    • Measurement of peak correlation and peak clutter responses across different distortion ranges.

    Main Results:

    • Peak correlation decreased rapidly with initial increases in distortion, then gradually for larger distortions.
    • Effective distortion coverage for fSDF-BPOFs was found to be modest: 0-30 degrees for in-plane rotation and 0-10 degrees for out-of-plane rotation.

    Conclusions:

    • fSDF-BPOFs have limited effective distortion tolerance.
    • A temporal multiplexing scheme is necessary to achieve robust performance across a wide distortion range using binary-phase-only filters (BPOFs).