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Related Concept Videos

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The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
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Friedman's Two-Way Analysis of Variance by Ranks is a nonparametric test designed to identify differences across multiple test attempts when traditional assumptions of normality and equal variances do not apply. Unlike conventional ANOVA, which requires normally distributed data with equal variances, Friedman's test is ideal for ordinal or non-normally distributed data, making it particularly useful for analyzing dependent samples, such as matched subjects over time or repeated measures...
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Related Experiment Video

Updated: Feb 14, 2026

Hand-held Clinical Photoacoustic Imaging System for Real-time Non-invasive Small Animal Imaging
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Linear-array photoacoustic imaging using minimum variance-based delay multiply and sum adaptive beamforming

Moein Mozaffarzadeh1, Ali Mahloojifar1, Mahdi Orooji1

  • 1Tarbiat Modares University, Department of Biomedical Engineering, Tehran, Iran.

Journal of Biomedical Optics
|February 7, 2018
PubMed
Summary
This summary is machine-generated.

A novel Minimum Variance-based Delay-Multiply-and-Sum (MVB-DMAS) beamformer enhances photoacoustic imaging resolution and reduces sidelobes significantly compared to traditional DAS and DMAS methods.

Keywords:
beamformingdelay-multiply-and-sumlinear-array imagingminimum variancephotoacoustic imaging

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Area of Science:

  • Photoacoustic Imaging
  • Medical Imaging
  • Signal Processing

Background:

  • Delay-and-Sum (DAS) beamforming in photoacoustic imaging offers simple implementation but suffers from poor resolution and high sidelobes.
  • Delay-Multiply-and-Sum (DMAS) was developed to reduce sidelobes but requires further resolution improvement.

Purpose of the Study:

  • To introduce and evaluate a Minimum Variance-based Delay-Multiply-and-Sum (MVB-DMAS) beamformer.
  • To enhance image resolution and reduce sidelobes in photoacoustic imaging.

Main Methods:

  • Developed MVB-DMAS by integrating Minimum Variance (MV) adaptive beamforming with DMAS.
  • Evaluated the MVB-DMAS algorithm through numerical simulations and experimental imaging.

Main Results:

  • MVB-DMAS achieved significant sidelobe reduction: 31 dB vs DAS, 18 dB vs MV, and 8 dB vs DMAS at 45 mm depth.
  • Simulations showed substantial improvements in Full-Width-Half-Maximum (96% vs DAS, 94% vs DMAS, 45% vs MV) and SNR (89% vs DAS, 15% vs DMAS, 35% vs MV).
  • Experimental results demonstrated a 20 dB sidelobe reduction with MVB-DMAS at 33 mm depth compared to other methods.

Conclusions:

  • MVB-DMAS offers superior performance in photoacoustic imaging compared to DAS, DMAS, and MV beamformers.
  • The proposed method effectively improves image resolution and signal quality, crucial for diagnostic accuracy.