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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...
Focusing of Light in the Eye01:16

Focusing of Light in the Eye

Light rays enter the eye through the cornea, a transparent dome-shaped tissue that is the eye's outermost layer. The cornea bends or refracts, light rays traveling to the pupil. The shape of the cornea determines how much of the light is bent and whether the image will be focused correctly on the retina at the back of the eye. Once the light has passed through both refraction layers, it converges into a single focal point onto a small area. This is where photoreceptors start transforming...
Phase Contrast and Differential Interference Contrast Microscopy01:26

Phase Contrast and Differential Interference Contrast Microscopy

Phase-Contrast Microscopes
In-phase-contrast microscopes, interference between light directly passing through a cell and light refracted by cellular components is used to create high-contrast, high-resolution images without staining. It is the oldest and simplest type of microscope that creates an image by altering the wavelengths of light rays passing through the specimen. Altered wavelength paths are created using an annular stop in the condenser. The annular stop produces a hollow cone of...

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Related Experiment Video

Updated: Jun 16, 2026

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy (DIHM) of Weakly-scattering Subjects

Published on: February 8, 2014

Aliasing error in digital holography.

J P Allebach, N C Gallagher, B Liu

    Applied Optics
    |February 19, 2010
    PubMed
    Summary
    This summary is machine-generated.

    Aliasing error in digital holography, caused by discrete Fourier transform and spectrum shaping, can be reduced. Constraining bandwidth during spectrum shaping effectively minimizes this digital holography artifact.

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    Area of Science:

    • Optics and Photonics
    • Digital Imaging
    • Signal Processing

    Background:

    • Digital holography reconstructs images using Fourier transforms.
    • Discrete Fourier Transform (DFT) in digital holography can cause aliasing error.
    • Spectrum shaping to reduce dynamic range may exacerbate aliasing.

    Purpose of the Study:

    • To analyze the effects of aliasing error in digital holography.
    • To propose a method for reducing aliasing error during spectrum shaping.
    • To validate the effectiveness of the proposed method experimentally.

    Main Methods:

    • Analysis of aliasing error introduced by DFT in digital holography.
    • Development of a spectrum shaping technique with bandwidth constraint.
    • Experimental validation of the proposed method.

    Main Results:

    • Aliasing error significantly impacts reconstructed images in digital holography.
    • Spectrum shaping without bandwidth constraint increases aliasing.
    • Constraining the image spectrum bandwidth during shaping effectively reduces aliasing error.

    Conclusions:

    • Bandwidth constraint is a crucial parameter when shaping image spectra in digital holography.
    • The proposed method offers an effective solution to mitigate aliasing errors.
    • This approach enhances the quality of reconstructed holographic images.