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Related Concept Videos

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...
Regression Toward the Mean01:52

Regression Toward the Mean

Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when researchers try to extrapolate results...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

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Regression Analysis01:11

Regression Analysis

Regression analysis is a statistical tool that describes a mathematical relationship between a dependent variable and one or more independent variables.
In regression analysis, a regression equation is determined based on the line of best fit– a line that best fits the data points plotted in a graph. This line is also called the regression line. The algebraic equation for the regression line is called the regression equation. It is represented as:
Drug Concentration Versus Time Correlation01:15

Drug Concentration Versus Time Correlation

The plasma drug concentration-time curve is a crucial tool in pharmacokinetics, representing the drug's concentration in plasma at different time intervals post-administration. This curve illustrates the drug's journey from absorption into the systemic circulation, distribution to body tissues, and eventual elimination through excretion or biotransformation.
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Related Experiment Video

Updated: May 19, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

Semi-coherent time of arrival estimation using regression.

Alexander Apartsin1, Leon N Cooper, Nathan Intrator

  • 1Blavatnik School of Computer Science, Tel-Aviv University, Ramat-Aviv 69978, Israel. apartzin@tau.ac.il

The Journal of the Acoustical Society of America
|August 17, 2012
PubMed
Summary

This study introduces a novel biosonar-inspired method for time of arrival (ToA) estimation in noisy conditions. The new technique outperforms traditional methods when receivers operate in a semi-coherent state, improving accuracy in remote sensing applications.

Related Experiment Videos

Last Updated: May 19, 2026

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
10:46

A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data

Published on: December 9, 2015

Area of Science:

  • Signal Processing
  • Remote Sensing
  • Acoustics

Background:

  • Time of arrival (ToA) estimation is crucial for radar, sonar, and underground exploration.
  • The standard maximum likelihood estimator (MLE) for ToA suffers accuracy degradation in high noise environments due to the threshold effect.
  • Conventional methods often assume coherent receivers, which is unsuitable for semi-coherent states common in noisy applications.

Purpose of the Study:

  • To develop a robust ToA estimation method for semi-coherent receivers operating under noisy conditions.
  • To address the limitations of the conventional MLE in the presence of the threshold effect.
  • To introduce a biosonar-inspired approach for improved ToA estimation accuracy.

Main Methods:

  • The proposed method utilizes multiple phase-shifted unmatched filters instead of a single matched filter.
  • Each unmatched filter provides a biased ToA estimator.
  • A regression technique is employed to combine these biased estimators into a single, unbiased ToA estimator.

Main Results:

  • The biosonar-inspired method demonstrates superior performance compared to the MLE in semi-coherent states with significant noise.
  • The regression-based combination of biased estimators effectively mitigates the threshold effect.
  • The developed technique offers enhanced accuracy for ToA estimation in challenging remote sensing scenarios.

Conclusions:

  • The novel biosonar-inspired method provides a more accurate and robust solution for semi-coherent ToA estimation than conventional MLE.
  • This approach effectively overcomes the limitations of existing methods in high-noise environments.
  • The findings have significant implications for improving the performance of various remote sensing systems.