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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...
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.
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...
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...
Aliasing01:18

Aliasing

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.
If the sampling frequency is below the Nyquist rate, these replicas overlap, preventing the original signal...
Sampling Plans01:23

Sampling Plans

Sampling is a crucial step in analytical chemistry, allowing researchers to collect representative data from a large population. Common sampling methods include random, judgmental, systematic, stratified, and cluster sampling.
Random sampling is a method where each member of the population has an equal chance of being selected for the sample. It involves selecting individuals randomly, often using random number generators or lottery-type methods. For example, when analyzing the properties of a...

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Related Experiment Video

Updated: May 26, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Optimization of the sampling periods and the quantization bit lengths for networked estimation.

Young Soo Suh1, Young Sik Ro, Hee Jun Kang

  • 1Department of Electrical Engineering, University of Ulsan, Namgu, Ulsan 680-749, Korea. yssuh@ulsan.ac.kr

Sensors (Basel, Switzerland)
|December 14, 2011
PubMed
Summary

Networked estimation balances data transmission rates with performance. This study optimizes sampling periods and quantization bit lengths for efficient sensor data processing under network constraints.

Keywords:
Kalman filternetworked estimationquantizationsampling periods

Related Experiment Videos

Last Updated: May 26, 2026

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

Area of Science:

  • Control Systems Engineering
  • Signal Processing
  • Networked Systems

Background:

  • Networked estimation involves transmitting sensor data over networks with limited bandwidth.
  • Transmission rates are influenced by sampling periods and quantization bit lengths.
  • Optimizing these parameters is crucial for maintaining estimation performance.

Purpose of the Study:

  • To investigate the impact of sampling periods and quantization bit lengths on networked estimation performance.
  • To develop an algorithm for selecting optimal sampling periods and quantization bit lengths.
  • To ensure estimation performance while adhering to transmission rate constraints.

Main Methods:

  • Derivation of an equation to compute estimation performance based on sampling periods and quantization bit lengths.
  • Development of an optimization algorithm to find the best combination of sampling periods and quantization bit lengths.
  • Validation through numerical examples.

Main Results:

  • A method to quantify the relationship between sampling periods, quantization bit lengths, and estimation performance.
  • An algorithm that successfully identifies parameter combinations meeting transmission rate constraints.
  • Demonstrated effectiveness of the proposed algorithm in achieving desired estimation performance.

Conclusions:

  • Sampling periods and quantization bit lengths are critical factors in networked estimation.
  • The proposed algorithm provides an effective approach to optimize these parameters.
  • This work contributes to efficient data transmission and reliable estimation in networked systems.