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Related Concept Videos

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...
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...
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...
Design Example: Vintage Mixing Console01:17

Design Example: Vintage Mixing Console

A sound engineer at a music company recently encountered a problem. The output from their newly acquired studio's vintage mixing console was too low for the requirements of modern recording equipment. To rectify this situation, the engineer decided to design an audio pre-amplifier using an operational amplifier (op-amp) to boost the signal level.
The specifications for the pre-amplifier were clear. It needed to amplify the audio signal by a factor of 10, have an input impedance above 10...
Double Resonance Techniques: Overview01:12

Double Resonance Techniques: Overview

Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
¹³C NMR: ¹H–¹³C Decoupling01:04

¹³C NMR: ¹H–¹³C Decoupling

The probability of having two carbon-13 atoms next to each other is negligible because of the low natural abundance of carbon-13. Consequently, peak splitting due to carbon-carbon spin-spin coupling is not observed in spectra. However, protons up to three sigma bonds away split the carbon signal according to the n+1 rule, resulting in complicated spectra.
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...

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Related Experiment Video

Updated: Jun 5, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

Noise reduction by dynamic signal preemphasis.

Kazuyuki Takeda1, K Takegoshi

  • 1Division of Chemistry, Graduate School of Science, Kyoto University, 606-8502 Kyoto, Japan. takezo@kuchem.kyoto-u.ac.jp

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|December 24, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces APRICOT, a novel method to reduce digitization noise in NMR receivers by increasing receiver gain and applying post-acquisition apodization. This technique enhances the detection of weak signals, improving NMR data quality.

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X-ray Dose Reduction through Adaptive Exposure in Fluoroscopic Imaging
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X-ray Dose Reduction through Adaptive Exposure in Fluoroscopic Imaging

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Last Updated: Jun 5, 2026

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
09:01

Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

Published on: April 4, 2017

X-ray Dose Reduction through Adaptive Exposure in Fluoroscopic Imaging
08:30

X-ray Dose Reduction through Adaptive Exposure in Fluoroscopic Imaging

Published on: September 11, 2011

Area of Science:

  • Nuclear Magnetic Resonance (NMR) Spectroscopy
  • Digital Signal Processing
  • Solid-State Physics

Background:

  • Digitization noise in analog-to-digital converters (ADCs) limits sensitivity in NMR receivers.
  • Dynamic range and bit depth of ADCs are critical for accurately capturing NMR signals.
  • Weak signals are often obscured by noise, hindering detailed analysis.

Purpose of the Study:

  • To develop a method for reducing digitization noise in NMR receivers.
  • To enhance the detection of weak NMR signals within a limited dynamic range.
  • To improve the overall quality and information content of NMR data.

Main Methods:

  • A novel approach named APRICOT (APodization after Receiver gain InCrement during Ongoing sequence with Time) was developed.
  • The method involves dynamically increasing receiver gain during signal acquisition.
  • Post-acquisition data processing includes apodization to compensate for the applied preemphasis.

Main Results:

  • APRICOT effectively reduces digitization noise by maximizing the utilization of the ADC's bit depth.
  • The method successfully revealed exceedingly small peaks previously buried in noise.
  • Demonstrated efficacy in a solid-state system with a pair of 13C spins.

Conclusions:

  • APRICOT significantly improves NMR sensitivity and the ability to detect low-intensity signals.
  • This technique offers a valuable tool for enhancing NMR data acquisition and analysis.
  • The method is particularly beneficial for studies involving weak signals or limited dynamic range.