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Bandpass Sampling01:17

Bandpass Sampling

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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.
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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.
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When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
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Inductively Coupled Plasma Atomic Emission Spectroscopy: Instrumentation01:26

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Inductively coupled plasma (ICP) is the common plasma source used in atomic emission spectroscopy (AES), a technique that detects and analyzes various elements in a sample. This method is often called inductively coupled plasma atomic emission spectroscopy (ICP-AES).
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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.
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IR spectra are divided into two main regions: the diagnostic region and the fingerprint region. The diagnostic region of the spectrum lies above 1500 cm−1. The absorptions resulting from single-bond vibrations of the N–H, C–H, and O–H stretch at higher wavenumbers and appear on the left side of the spectrum. The stretching absorptions of the C≡C and C≡N occur between 2100–2300 cm−1. In contrast, those arising from stretching absorptions of the...
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ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
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iPCPA: Interval permutation combination population analysis for spectral wavelength selection.

Jingxuan Geng1, Chunhua Yang1, Qiwu Luo1

  • 1School of Automation, Central South University, 410083, Changsha, China.

Analytica Chimica Acta
|June 11, 2021
PubMed
Summary

A novel two-step wavelength selection method, interval permutation combination population analysis (iPCPA), enhances spectral detection by reducing overfitting and prediction errors. This approach combines interval partial least squares and permutation combination population analysis for superior performance.

Keywords:
Multivariate calibrationPermutation analysisSynergistic influenceVariable combination population analysisWavelength selection

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Area of Science:

  • Chemometrics
  • Spectroscopy
  • Data analysis

Background:

  • Wavelength selection is crucial for accurate spectral detection, preventing model overfitting and prediction errors.
  • Existing methods may not fully optimize the selection of informative spectral variables.

Purpose of the Study:

  • To introduce a novel, enhanced two-step wavelength selection method, interval permutation combination population analysis (iPCPA).
  • To improve the accuracy and efficiency of spectral data preprocessing.

Main Methods:

  • Developed a two-step approach: initial rough selection using interval partial least squares (iPLS).
  • Implemented permutation combination population analysis (PCPA) for refined variable importance evaluation.
  • Combined iPLS and PCPA to create the iPCPA method.

Main Results:

  • iPCPA demonstrated superior predictive abilities compared to six other state-of-the-art wavelength selection methods.
  • The method showed good selective performance across corn, beer, and soil spectral datasets.
  • The two-step process effectively reduced the variable space and focused on informative variables.

Conclusions:

  • The proposed iPCPA method offers enhanced predictive accuracy and effective variable selection in spectral analysis.
  • iPCPA represents a significant advancement in preprocessing techniques for spectral detection.