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Related Concept Videos

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).
Design Example01:23

Design Example

The innovation of touch-tone telephony revolutionized the telecommunications industry by replacing the traditional rotary dial with a dual-tone multi-frequency (DTMF) signaling system. This system uses a matrix-style keypad with buttons arranged in four rows and three columns, creating 12 distinct signals each assigned to a pair of frequencies. Each button press results in a simultaneous generation of two sinusoidal tones – one from a low-frequency group (697 to 941 Hz) and one from a...
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 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.
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Active Filters01:25

Active Filters

Active filters are electronic circuits that use operational amplifiers (op-amps), resistors, and capacitors to filter out unwanted frequency components from a signal. A first-order low-pass active filter is designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate frequencies higher than that cutoff frequency. The transfer function for a first-order low-pass active filter is:
Frequency Response of a Circuit01:20

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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

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

Published on: January 28, 2019

Experimental demonstration of phase-only circular harmonic filtering using computer generated filters.

H F Yau, C C Chang, C M Lee

    Applied Optics
    |June 23, 2010
    PubMed
    Summary

    Phase-only circular harmonic filtering in Fourier transform correlators offers shift and rotational invariance. This method enhances correlation peak prominence compared to standard techniques, validated with simple binary objects.

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    Published on: January 28, 2019

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    Area of Science:

    • Optical information processing
    • Pattern recognition
    • Holographic filtering

    Background:

    • Standard circular harmonic filtering can be sensitive to object orientation.
    • Computer-generated holograms offer flexibility in filter design.

    Purpose of the Study:

    • To experimentally evaluate phase-only circular harmonic filtering in a Fourier transform correlator.
    • To assess the shift and rotational invariance properties of the implemented filter.
    • To compare the correlation peak performance against ordinary circular harmonic filtering.

    Main Methods:

    • Implementation of a phase-only circular harmonic filter as a computer-generated hologram.
    • Utilizing a standard Fourier transform correlator for experimental validation.
    • Testing with simple binary objects to demonstrate filter characteristics.

    Main Results:

    • The phase-only circular harmonic filter demonstrated robust shift and rotational invariance.
    • Experimental results confirmed earlier simulation findings.
    • A more prominent correlation peak was observed compared to ordinary circular harmonic filtering.

    Conclusions:

    • Phase-only circular harmonic filtering is a viable technique for shift- and rotational-invariant pattern recognition.
    • The use of phase information alone significantly improves correlation peak quality.
    • This approach offers advantages over conventional circular harmonic filtering methods.