A single-ensemble-based hybrid approach to clutter rejection combining bilinear Hankel with regression
Related Experiment Video
Updated: Mar 19, 2026

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
Published on: February 15, 2017
Zhiyuan Shen1,2, Naizhang Feng3, Chin-Hui Lee4
1Department of Control Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China. shenzyhit@gmail.com.
Insights
This study introduces a hybrid clutter filter using Bilinear Hankel-SVD for clearer ultrasound blood flow imaging. The new method significantly improves blood flow estimation accuracy by effectively removing interfering clutter signals.
Area of Science:
- Medical Imaging
- Ultrasound Technology
- Signal Processing
Background:
- Ultrasound Doppler echoes from soft tissue (clutter) impede accurate blood flow measurement in Color Flow Imaging (CFI).
- Existing multi-ensemble clutter filters can reduce image resolution and frame rate.
- Single-ensemble filters often lack the accuracy needed for both low- and high-velocity blood flow estimation.
Purpose of the Study:
- To develop an advanced clutter filter for ultrasound Color Flow Imaging (CFI).
- To enhance the accuracy of blood flow estimation by effectively rejecting soft tissue clutter.
- To overcome limitations of existing single-ensemble clutter rejection filters.
Main Methods:
- A hybrid approach combining a low-order regression filter with Bilinear Hankel-SVD (B-Hankel-SVD) for signal decomposition.
- Utilizing B-Hankel-SVD for more precise decomposition of ultrasound Doppler signals compared to conventional Hankel-SVD.
- Extracting blood flow components based on a frequency threshold after signal decomposition.
Main Results:
- The proposed B-Hankel-SVD filter demonstrated reduced blood flow estimation bias compared to conventional Hankel-SVD.
- The hybrid algorithm proved more effective than standalone regression or Hankel-SVD filters in clutter rejection using single-ensemble samples.
- Significant improvements in blood flow frequency estimation and reduced estimation variance were observed with the hybrid method.
Conclusions:
- The hybrid B-Hankel-SVD filter offers superior performance in clutter rejection for ultrasound Doppler signals.
- This method enhances the accuracy of blood flow velocity and frequency estimation in CFI.
- The developed filter addresses key limitations of current clutter filtering techniques in medical ultrasound.
Purpose:
Clutter regarded as ultrasound Doppler echoes of soft tissue interferes with the primary objective of color flow imaging (CFI): measurement and display of blood flow. Multi-ensemble samples based clutter filters degrade resolution or frame rate of CFI. The prevalent single-ensemble clutter rejection filter is based on a single rejection criterion and fails to achieve a high accuracy for estimating both the low- and high-velocity blood flow components.
Methods:
The Bilinear Hankel-SVD achieved more exact signal decomposition than the conventional Hankel-SVD. Furthermore, the correlation between two arbitrary eigen-components obtained by the B-Hankel-SVD was demonstrated. In the hybrid approach, the input ultrasound Doppler signal first passes through a low-order regression filter, and then the output is properly decomposed into a collection of eigen-components under the framework of B-Hankel-SVD. The blood flow components are finally extracted based on a frequency threshold.
Results:
In a series of simulations, the proposed B-Hankel-SVD filter reduced the estimation bias of the blood flow over the conventional Hankel-SVD filter. The hybrid algorithm was shown to be more effective than regression or Hankel-SVD filters alone in rejecting the undesirable clutter components with single-ensemble (S-E) samples. It achieved a significant improvement in blood flow frequency estimation and estimation variance over the other competing filters.
Related Concept Videos
Gaussian Elimination: Problem Solving
Quantifying and Rejecting Outliers: The Grubbs Test
Routh-Hurwitz Criterion II
The first scenario occurs when a singular zero appears in the first column of the Routh table. This situation creates a division by zero issues. To resolve this, a small positive or negative number, denoted as epsilon (∈), is substituted for the zero. The stability analysis proceeds by assuming a sign for ∈. If ∈ is positive, any sign change in the first...
Residuals and Least-Squares Property
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
Quadratic Models
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation
On...

