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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...
Upsampling01:22

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...
Interference: Path Lengths01:10

Interference: Path Lengths

Consider two sources of sound, that may or may not be in phase, emitting waves at a single frequency, and consider the frequencies to be the same.
Two special sources may be considered when they are in phase. This can be easily achieved by feeding the two sources from the same source. An example would be synchronizing the two speakers by feeding them with the same source, such as the sound waves produced by a tuning fork. This setup ensures that the two sources have the same frequency and are...
Scaling01:26

Scaling

In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
Properties of Fourier Transform II01:24

Properties of Fourier Transform II

The Fourier Transform (FT) is an essential mathematical tool in signal processing, transforming a time-domain signal into its frequency-domain representation. This transformation elucidates the relationship between time and frequency domains through several properties, each revealing unique aspects of signal behavior.
The Frequency Shifting property of Fourier Transforms highlights that a shift in the frequency domain corresponds to a phase shift in the time domain. Mathematically, if x(t) has...
Bandpass Sampling01:17

Bandpass Sampling

In signal processing, bandpass sampling is an effective technique for sampling signals that have most of their energy concentrated within a narrow frequency band. This type of signal is known as a bandpass signal. The key principle of bandpass sampling involves sampling the signal at a rate that is greater than twice the signal's bandwidth to prevent aliasing.
A bandpass signal has a spectrum with a lower frequency limit, denoted as ω1, and an upper frequency limit, denoted as ω2. The spectrum...

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Related Experiment Video

Updated: Jun 7, 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

Spatial frequency notching by source modification.

J van der Gracht

    Applied Optics
    |November 6, 2010
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a novel image enhancement system that effectively removes unwanted spatial frequencies. The new method offers improved noise immunity and eliminates the need for expensive spatial light modulators.

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    Last Updated: Jun 7, 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

    Recording Spatially Restricted Oscillations in the Hippocampus of Behaving Mice
    07:10

    Recording Spatially Restricted Oscillations in the Hippocampus of Behaving Mice

    Published on: July 1, 2018

    Area of Science:

    • Optical Engineering
    • Image Processing
    • Coherent Optics

    Background:

    • Conventional coherent spatial filtering requires high-optical-quality components.
    • Optical setup noise can significantly degrade image quality in filtering systems.

    Purpose of the Study:

    • To introduce a partially coherent image-enhancement system for notching spatial frequency components.
    • To offer an alternative to conventional coherent spatial filtering with enhanced noise immunity.

    Main Methods:

    • Utilizes a fixed pupil mask and a dynamic source.
    • Employs redundancy from the source to mitigate optical noise effects.
    • Validated through numerical simulations and laboratory experiments.

    Main Results:

    • Eliminates the need for a high-optical-quality spatial light modulator.
    • Demonstrates greatly improved immunity to optical setup noise (dust, scratches, imperfections).
    • Successfully notches unwanted spatial frequency components.

    Conclusions:

    • The partially coherent system provides a robust and cost-effective approach to image enhancement.
    • The dynamic source and fixed mask design enhance system resilience against noise.
    • The technique is suitable for applications requiring high-fidelity image filtering.