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Related Concept Videos

Downsampling01:20

Downsampling

When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
Super-resolution Fluorescence Microscopy01:37

Super-resolution Fluorescence Microscopy

Super-resolution fluorescence microscopy (SRFM) provides a better resolution than conventional fluorescence microscopy by reducing the point spread function (PSF). PSF is the light intensity distribution from a point that causes it to appear blurred. Due to PSF, each fluorescing point appears bigger than its actual size, and it is the PSF interference of nearby fluorophores that causes the blurred image. Various approaches to achieving higher resolution through SRFM have recently been developed.
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...

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Related Experiment Video

Updated: Jun 20, 2026

Whole-cell Super-Resolution Imaging via DNA-PAINT on a Spinning Disk Confocal with Optical Photon Reassignment
07:12

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Published on: January 6, 2026

Dilute uniformly redundant sequences for use in coded-aperture imaging.

W J Wild

    Optics Letters
    |September 1, 2009
    PubMed
    Summary

    New binary sequences with ideal autocorrelation properties were developed. These sequences offer constant unity sidelobes, beneficial for applications like coded-aperture imaging.

    Area of Science:

    • Information Theory
    • Signal Processing
    • Applied Mathematics

    Background:

    • Autocorrelation properties are crucial for sequence design in various applications.
    • Ideal autocorrelation sequences minimize interference and enhance signal detection.
    • Existing sequences may have limitations in achieving constant sidelobe levels.

    Purpose of the Study:

    • To introduce a novel class of binary sequences with ideal autocorrelation properties.
    • To demonstrate the constant unity periodic autocorrelation sidelobe characteristic.
    • To explore the potential application of these sequences in coded-aperture imaging.

    Main Methods:

    • Construction of binary sequences for several lengths.
    • Analysis of periodic autocorrelation properties.

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    Last Updated: Jun 20, 2026

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  • Mathematical derivation of sidelobe characteristics.

    • Main Results:

    • A class of binary sequences with ideal autocorrelation was successfully generated.
    • These sequences exhibit constant unity periodic autocorrelation sidelobes.
    • The sequences are characterized as both uniformly redundant and nonredundant.

    Conclusions:

    • The developed binary sequences possess desirable autocorrelation properties.
    • These sequences hold promise for applications requiring precise signal reconstruction, such as coded-aperture imaging.