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Some compounds produce hydroxide ions when dissolved by chemically reacting with water molecules. In all cases, these compounds react only partially and so are classified as weak bases. These types of compounds are also abundant in nature and important commodities in various technologies. For example, global production of the weak base ammonia is typically well over 100 metric tons annually, being widely used as an agricultural fertilizer, a raw material for chemical synthesis of other...
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Weak acids and bases do not undergo dissociation completely, and titrations between these two are rarely studied. When such studies are performed, say, for the titration of a weak acid with a weak base, the titration curve plots the change in pH as a function of the volume of base added. Take the titration of acetic acid with ammonia, for instance. During the titration, these two species form ammonium acetate and water, but the pH change is slow and gradual.
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Electron carriers can be thought of as electron shuttles. These compounds can easily accept electrons (i.e., be reduced) or lose them (i.e., be oxidized). They play an essential role in energy production because cellular respiration is contingent on the flow of electrons.
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Positive and negative feedback loops are crucial for regulating biological signaling systems. These feedback loops are processes that connect output signals to their inputs.
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Few compounds act as strong acids. A far greater number of compounds behave as weak acids and only partially react with water, leaving a large majority of dissolved molecules in their original form and generating a relatively small amount of hydronium ions. Weak acids are commonly encountered in nature, being the substances partly responsible for the tangy taste of citrus fruits, the stinging sensation of insect bites, and the unpleasant smells associated with body odor. A familiar example of a...
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A Two-Stage Kalman Filter-Based Carrier Tracking Loop for Weak GNSS Signals.

Yan Cheng1, Qing Chang2, Hao Wang3

  • 1School of Electronic and Information Engineering, Beihang University, Beijing 100191, China. chengyan@buaa.edu.cn.

Sensors (Basel, Switzerland)
|March 22, 2019
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Summary
This summary is machine-generated.

A new two-stage Kalman filter (KF) tracking architecture improves global navigation satellite system (GNSS) receivers. This method enhances tracking sensitivity for weaker signals and achieves faster convergence compared to standard KF tracking.

Keywords:
GNSS carrier trackingKalman filterhigh sensitivityreduce convergence time

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Area of Science:

  • Signal Processing
  • Navigation Systems
  • Aerospace Engineering

Background:

  • Kalman filter (KF)-based tracking loops offer superior sensitivity and robustness for Global Navigation Satellite System (GNSS) receivers over conventional methods.
  • Improving tracking sensitivity requires longer coherent integration times, which are limited by navigation data bit sign transitions.
  • Standard KF receivers initialized with acquired data struggle to converge rapidly under weak signal conditions due to frequency errors.

Purpose of the Study:

  • To propose a novel two-stage KF-based tracking architecture for GNSS receivers.
  • To enhance tracking sensitivity for weaker signals and accelerate convergence.
  • To overcome limitations of coherent integration time and initial frequency errors in KF tracking.

Main Methods:

  • A two-stage architecture comprising coarse tracking and fine tracking stages.
  • The first stage refines acquired data and achieves bit synchronization.
  • The second stage uses coarse tracking results for KF initialization, extending coherent integration without bit sign transition limitations.

Main Results:

  • The proposed two-stage KF architecture successfully tracks weaker GNSS signals.
  • It demonstrates improved tracking sensitivity compared to conventional techniques.
  • The method shows significantly faster convergence than standard KF-based tracking.

Conclusions:

  • The two-stage KF architecture effectively enhances GNSS receiver tracking sensitivity and reduces convergence time.
  • This approach overcomes key limitations of standard KF tracking, particularly under weak signal conditions.
  • The proposed method offers a more robust and efficient solution for GNSS signal tracking.