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Related Concept Videos

Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
Sampling Theorem01:15

Sampling Theorem

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.
Sampling Methods: Sample Types01:18

Sampling Methods: Sample Types

Sampling materials are classified into three main types: solid, liquid, and gas.
Solid samples include a variety of substances, such as sediments from water bodies, soil, metals, and biological tissues. Two standard methods for extracting sediments from water bodies are grab sampling and piston coring. Grab sampling involves using a device to collect a discrete sediment sample from the bottom of a water body with minimal disturbance. Grab samples do not always represent the entire area due to...
State Space Representation01:27

State Space Representation

The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
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. 
In analytical chemistry, the choice of sampling...
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...

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Real-Time Proxy-Control of Re-Parameterized Peripheral Signals using a Close-Loop Interface
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Adaptive single replica multiple state transition interface sampling.

Wei-Na Du1, Peter G Bolhuis

  • 1Van 't Hoff Institute for Molecular Sciences, University of Amsterdam, Amsterdam, The Netherlands.

The Journal of Chemical Physics
|August 2, 2013
PubMed
Summary
This summary is machine-generated.

This study introduces a novel single replica sampling algorithm for efficiently exploring rare transitions between multiple metastable states. The method overcomes limitations of previous techniques, enabling comprehensive pathway sampling in complex systems.

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Area of Science:

  • Computational Chemistry
  • Statistical Mechanics
  • Molecular Dynamics

Background:

  • Multiple state transition path sampling methods are crucial for studying rare events between metastable states.
  • Existing methods struggle with switching between different pathways and often require numerous replicas.

Purpose of the Study:

  • To develop a more efficient algorithm for sampling rare transitions between multiple metastable states.
  • To overcome the limitations of existing path sampling techniques, particularly the difficulty in switching between qualitatively different pathways.

Main Methods:

  • Introduced a single replica sampling algorithm that samples one interface at a time.
  • Employed a Wang-Landau approach or fixed bias for efficient exploration of path space.
  • Illustrated the method on model systems including diffusion, Lennard Jones cluster isomerization, and alanine dipeptide isomerization in explicit water.

Main Results:

  • The new algorithm efficiently samples rare transitions between multiple metastable states.
  • Successfully demonstrated the method's applicability across diverse model systems.
  • Overcame the drawbacks of previous methods, enabling efficient pathway exploration with a single replica.

Conclusions:

  • The developed single replica sampling algorithm offers a significant advancement in exploring complex reaction pathways.
  • This method provides a more efficient and versatile tool for computational studies of rare events.
  • The approach is broadly applicable to various systems in computational chemistry and physics.