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Related Concept Videos

Aliasing01:18

Aliasing

251
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...
251
Sampling Theorem01:15

Sampling Theorem

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In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
808
NMR Spectrometers: Resolution and Error Correction01:14

NMR Spectrometers: Resolution and Error Correction

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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...
785
Upsampling01:22

Upsampling

330
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...
330
Phase Contrast and Differential Interference Contrast Microscopy01:26

Phase Contrast and Differential Interference Contrast Microscopy

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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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Bandpass Sampling01:17

Bandpass Sampling

269
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....
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Pure Shift Nuclear Magnetic Resonance: a New Tool for Plant Metabolomics
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Spectrum sampling optimization for quantitative phase imaging based on Kramers-Kronig relations.

Yutong Li, Xiu Wen, Ming Sun

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    Summary
    This summary is machine-generated.

    Annular-illumination quantitative phase imaging (AIKK) enhances resolution nearly twofold using only four low-resolution images. A new diagonal-expanded sampling method (DES-AIKK) further improves performance for high-throughput microscopy.

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    Area of Science:

    • Optics and Photonics
    • Biomedical Imaging
    • Microscopy

    Background:

    • Quantitative phase imaging (QPI) is crucial for label-free biological sample analysis.
    • Existing QPI methods often require iterative reconstruction or complex setups.
    • Annular-illumination quantitative phase imaging (AIKK) offers a non-iterative, object-independent reconstruction approach.

    Purpose of the Study:

    • To enhance the resolution and efficiency of AIKK.
    • To develop an optimal spectrum sampling strategy for AIKK.
    • To address pixel aliasing issues in AIKK systems.

    Main Methods:

    • Developed an AIKK system with a twofold resolution enhancement.
    • Established spectrum sampling criteria and an effective utilization model.
    • Introduced a diagonal-expanded sampling based AIKK (DES-AIKK) method to mitigate pixel aliasing.

    Main Results:

    • Achieved nearly twofold resolution enhancement with only four low-resolution images.
    • Optimized spectrum distribution for annular illumination.
    • DES-AIKK successfully eliminated pixel aliasing, increasing the space-bandwidth-time product to 439.51 megapixels (1.8x AIKK).

    Conclusions:

    • AIKK is a powerful technique for high-throughput microscopic applications.
    • DES-AIKK significantly improves resolution and efficiency in QPI.
    • This work provides guidelines for developing advanced AIKK platforms for real-time dynamic observation and pathology.