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Related Concept Videos

NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
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Propagation of Uncertainty from Random Error00:59

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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
Interference and Diffraction02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

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Updated: Jul 7, 2026

Characterization of Anisotropic Leaky Mode Modulators for Holovideo
09:36

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Published on: March 19, 2016

Interleaving and error correction in volume holographic memory systems.

W C Chou, M A Neifeld

    Applied Optics
    |February 28, 2008
    PubMed
    Summary
    This summary is machine-generated.

    Error-correction coding (ECC) and two-dimensional interleaving improve data fidelity in volume holographic memory (VHM) systems. These methods mitigate random and systematic errors, enhancing storage capacity and system performance.

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    Last Updated: Jul 7, 2026

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    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

    Area of Science:

    • Optical data storage
    • Information theory
    • Error correction

    Background:

    • Volume holographic memory (VHM) systems are susceptible to random and systematic errors.
    • Lens aberrations and misalignment cause correlated error patterns, impacting data fidelity.
    • Bit-error rate (BER) is a key metric for VHM system design and data fidelity.

    Purpose of the Study:

    • To investigate the effectiveness of error-correction coding (ECC) and two-dimensional interleaving in VHM systems.
    • To analyze the impact of correlated error patterns on VHM storage capacity.
    • To evaluate system performance using BER and storage capacity metrics.

    Main Methods:

    • Analysis of correlated error patterns from lens aberrations and misalignment.
    • Information theoretic capacity calculations for VHM with correlated errors.
    • Performance evaluation of ECC and interleaving using BER and storage capacity.
    • Experimental demonstration of combined ECC and two-dimensional interleaving.

    Main Results:

    • ECC and two-dimensional interleaving effectively reduce BER in VHM systems.
    • Correlated errors significantly affect VHM storage capacity.
    • The combined approach of ECC and interleaving enhances both data fidelity and storage capacity.
    • Experimental results validate the theoretical analysis.

    Conclusions:

    • ECC and two-dimensional interleaving are crucial for reliable VHM operation.
    • Understanding and mitigating correlated errors is essential for maximizing VHM storage capacity.
    • The studied techniques offer a robust solution for high-fidelity holographic data storage.