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Related Concept Videos

Linear Approximation in Frequency Domain01:26

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Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
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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.
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Related Experiment Video

Updated: Nov 21, 2025

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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High Resolution, High Contrast Beamformer Using Minimum Variance and Plane Wave Nonlinear Compounding with Low

Xin Yan1, Yanxing Qi1, Yinmeng Wang1

  • 1Department of Electronic Engineering, Fudan University, Shanghai 200433, China.

Sensors (Basel, Switzerland)
|January 12, 2021
PubMed
Summary

This study introduces a new beamforming method for ultrafast ultrasound imaging, enhancing resolution and contrast. The novel approach improves image quality while maintaining high frame rates for real-time applications.

Keywords:
delay multiply and sumdimension reductiongeneralized sidelobe cancelerlow complexityminimum variancenonlinear compoundingplane wave compounding

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Area of Science:

  • Medical Imaging
  • Ultrasound Technology
  • Signal Processing

Background:

  • Plane wave compounding (PWC) enhances ultrafast ultrasound imaging quality and frame rates.
  • Existing beamforming methods may face limitations in resolution and complexity.

Purpose of the Study:

  • To propose a novel, low-complexity beamforming method for improved resolution and contrast in PWC.
  • To evaluate the performance and robustness of the proposed method.

Main Methods:

  • Utilized minimum variance (MV) weight from partial generalized sidelobe canceler for beamforming.
  • Implemented dimension reduction for projecting data into lower dimensional space.
  • Developed a fast second-order reformulation of delay multiply and sum (DMAS) for nonlinear compounding.

Main Results:

  • Achieved 86.3% narrower main lobe width and 112% higher contrast ratio compared to DAS beamformer in simulations.
  • Demonstrated enhanced robustness to channel noise.
  • Maintained linear computational complexity, suitable for real-time implementation.

Conclusions:

  • The proposed beamforming method significantly improves image resolution and contrast in PWC.
  • The method is robust and computationally efficient, offering potential for real-time ultrafast ultrasound imaging.