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In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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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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Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
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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...
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Related Experiment Video

Updated: Dec 29, 2025

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating
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Adaptive scaling Wiener postfilter using generalized coherence factor for coherent plane-wave compounding.

Yadan Wang1, Chichao Zheng1, Xiaoyan Zhao2

  • 1Department of Biomedical Engineering, Hefei University of Technology, Hefei, 230009, China.

Computers in Biology and Medicine
|February 1, 2020
PubMed
Summary
This summary is machine-generated.

An adaptive scaling Wiener postfilter (AScW) enhances ultrasound image quality by balancing noise reduction and robustness. This method improves speckle quality and lateral resolution in coherent plane-wave compounding (CPWC).

Keywords:
Adaptive scaling factorCoherent plane-wave compoundingGeneralized coherence factorUltrasound imagingWiener postfilter

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Area of Science:

  • Medical Ultrasound Imaging
  • Signal Processing
  • Image Quality Enhancement

Background:

  • Coherent plane-wave compounding (CPWC) is a key ultrasound imaging technique.
  • Improving image quality, specifically speckle reduction and resolution, remains a challenge in CPWC.

Purpose of the Study:

  • To propose and evaluate an adaptive scaling Wiener postfilter (AScW) for CPWC.
  • To enhance image quality by optimizing the balance between noise suppression and robustness.

Main Methods:

  • AScW utilizes an adaptive scale factor based on signal incoherence.
  • Generalized coherence factor (GCF) and a depth parameter are used to estimate signal incoherence, noise power, and adjust beamforming.

Main Results:

  • AScW significantly improved speckle signal-to-noise ratio (sSNR) by up to 44.8% and lateral resolution (FWHM) by up to 53.7% compared to existing methods.
  • The contrast achieved by AScW was comparable to GCF.
  • AScW demonstrated clinical potential in in-vivo studies for visualizing anatomical and hyper echoic structures.

Conclusions:

  • AScW effectively enhances image quality in CPWC ultrasound.
  • The proposed method offers superior speckle quality and lateral resolution while maintaining good contrast.
  • AScW shows promise for clinical applications in medical ultrasound imaging.