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Related Concept Videos

Glassware Calibration01:11

Glassware Calibration

Accurate calibration of glassware, such as volumetric flasks, pipettes, and burettes, is essential to ensure accurate measurements in the analytical laboratory. Calibration helps maintain consistency across measurements and prevents errors arising from inaccurate volumes.
Volumetric flasks: Volumetric flasks are designed to prepare aqueous solutions of precise volumes accurately with a calibration line on the neck. To calibrate a volumetric flask, it is important to fill it with distilled...
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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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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.
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Sampling Methods: Overview01:06

Sampling Methods: Overview

A sample refers to a smaller subset representative of a larger population. In analytical chemistry, studying or analyzing an entire population is often impractical or impossible. Therefore, samples are used to draw inferences and generalize the whole population. The sampling method selects individuals or items from a population to create a sample. Standard sampling methods include random, judgemental, systematic, stratified, and cluster sampling. 
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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

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Whole-cell Super-Resolution Imaging via DNA-PAINT on a Spinning Disk Confocal with Optical Photon Reassignment
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Improving GRAPPA using cross-sampled autocalibration data.

Haifeng Wang1, Dong Liang, Kevin F King

  • 1Department of Electrical Engineering and Computer Science, University of Wisconsin, Milwaukee, WI, USA.

Magnetic Resonance in Medicine
|December 3, 2011
PubMed
Summary
This summary is machine-generated.

A new cross-sampling method enhances MRI autocalibration signal (ACS) acquisition. This technique improves calibration accuracy, reducing aliasing artifacts in undersampled images, especially with limited ACS data.

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Area of Science:

  • Magnetic Resonance Imaging (MRI)
  • Medical Imaging
  • Image Reconstruction

Background:

  • Conventional generalized autocalibrating partially parallel acquisitions (G શ્રેણી) use autocalibration signal (ACS) lines parallel to undersampled data.
  • This parallel acquisition can limit calibration accuracy, particularly when few ACS lines are available.

Purpose of the Study:

  • To introduce and evaluate a novel cross-sampling method for acquiring ACS lines in G શ્રેણી.
  • To improve calibration accuracy and reduce aliasing artifacts in undersampled MRI data.

Main Methods:

  • Implemented a cross-sampling technique acquiring ACS lines orthogonal to undersampled k-space data.
  • Utilized swapped frequency and phase encoding gradients for cross-sampling.
  • Developed an iterative coregistration method to align ACS and undersampled data acquired in orthogonal directions.

Main Results:

  • Cross-sampling increased calibration data in the undersampled direction, enhancing accuracy with fewer ACS lines.
  • The method effectively reduced aliasing artifacts compared to conventional G શ્રેણી, especially at high k-space reduction factors.
  • Simulations, phantom, and in vivo human brain experiments validated the proposed method's performance.

Conclusions:

  • Cross-sampled generalized autocalibrating partially parallel acquisitions (CS-G શ્રેણી) offer superior artifact reduction.
  • The technique is particularly beneficial when acquiring a minimal number of ACS lines.
  • This advancement improves image quality in undersampled MRI scenarios.