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Related Concept Videos

¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

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.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations01:08

IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations

Identical bonds within a polyatomic group can stretch symmetrically (in-phase) or asymmetrically (out-of-phase). Similar to hydrogen bonding, these vibrations also influence the shape of the IR peak. Generally, asymmetric stretching frequencies are higher than symmetric stretching frequencies. For example, primary amines exhibit two distinct IR peaks between 3300–3500 cm−1 corresponding to the symmetric and asymmetric N-H stretching, while secondary amines exhibit a single stretching vibration...
2D NMR: Overview of Heteronuclear Correlation Techniques01:18

2D NMR: Overview of Heteronuclear Correlation Techniques

Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other axis.
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...
2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)

Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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...

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Published on: December 1, 2018

Phase-only filters with maximally sharp correlation peaks.

B V Kumar, W Shi, C Hendrix

    Optics Letters
    |September 22, 2009
    PubMed
    Summary
    This summary is machine-generated.

    The peak-to-correlation energy measure evaluates correlation output sharpness. This metric helps design phase-only filters for achieving the sharpest possible correlation peaks in optical pattern recognition.

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    Area of Science:

    • Optics and Photonics
    • Signal Processing
    • Image Recognition

    Background:

    • Correlation outputs are crucial for pattern recognition and signal detection.
    • Characterizing the sharpness of these outputs is essential for filter performance.
    • Existing methods may not sufficiently quantify peak sharpness.

    Purpose of the Study:

    • To introduce and utilize the peak-to-correlation energy (PCE) as a metric for correlation output sharpness.
    • To develop a phase-only filter (POF) optimized for maximal correlation peak sharpness using the PCE metric.

    Main Methods:

    • Defining the peak-to-correlation energy (PCE) as a quantitative measure of correlation peak sharpness.
    • Employing the PCE metric to derive and optimize the parameters of a phase-only filter (POF).

    Main Results:

    • The PCE effectively quantifies the sharpness of correlation outputs.
    • The derived phase-only filter demonstrates significantly sharper correlation peaks compared to conventional filters.
    • Optimized filters lead to improved discrimination capabilities in pattern recognition tasks.

    Conclusions:

    • The peak-to-correlation energy is a valuable metric for evaluating and optimizing correlation-based filters.
    • Phase-only filters designed using PCE offer superior performance in terms of peak sharpness.
    • This approach enhances the precision and reliability of optical pattern recognition systems.