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Updated: Jun 25, 2025

Measurement of Scattering Nonlinearities from a Single Plasmonic Nanoparticle
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数字萨伦-凯过器在核光谱平滑中的应用和特征

Yun-Chen Qian1, Huai-Qiang Zhang1, Hong-Tao Shi2

  • 1State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, 330013, China; School of Nuclear Science and Engineering, East China University of Technology, Nanchang, 330013, China.

Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine
|May 30, 2024
PubMed
概括

一个新的数字Sallen-Key过算法通过减少统计波动来有效地平滑核光谱. 这种方法增强了峰值检测和面积计算,优于传统技术,用于改进数据分析.

关键词:
数字Sallen关键过器的过器参数优化的参数优化顺的 顺的 顺的频谱光滑是一种光谱光滑技术.

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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.
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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...
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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.
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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...
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Upsampling01:22

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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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¹H NMR: Interpreting Distorted and Overlapping Signals01:02

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Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
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