### Abstract

A method for determining both velocity magnitude and angle in a synthetic aperture ultrasound system is described. The approach uses directional beamforming along the flow direction and cross-correlation to determine velocity magnitude. The angle of the flow is determined from the maximum normalized correlation calculated as a function of angle. This assumes the flow direction is within the imaging plane. Simulations of the angle estimation method show both biases and standard deviations of the flow angle estimates below 3 deg for flow angles from 20 deg to 90 deg (transverse flow). The method is also investigated using data measured by an experimental ultrasound scanner from a flow rig. A commercial 128 element 7 MHz linear array transducer is used, and data are measured for flow angles of 60 deg and 90 deg. Data are acquired using the RASMUS experimental ultrasound scanner, which samples 64 channels simultaneously. A 20 us chirp was used during emission and 8 virtual transmit sources were created behind the transducer using 11 transmitting elements. Data from the 8 transmissions are beamformed and coherently summed to create high resolution lines at different angles for a set of points within the region of flow. The velocity magnitude is determined with a precision of 0.36% (60 deg) and 1.2% (90 deg), respectively. The 60 deg angle is estimated with a bias of 0.54 deg and a standard deviation of 2.1 deg. For 90 deg the bias is 0.0003 deg and standard deviation 1.32 deg. A parameter study with regard to correlation length and number of emissions is performed to reveal the accuracy of the method. Real time data covering 2.2 seconds of the carotid artery of a healthy 30-year old male volunteer is acquired and then processed off-line using a computer cluster. The direction of flow is estimated using the above mentioned method. It is compared to the flow angle of 106 deg with respect to the axial direction, determined visually from the B-mode image. For a point in the center of the common carotid artery, 76% of the flow angle estimates over the 2.2 seconds were within 10 deg of the visually determined flow angle. The standard deviation of these estimates was below 2.7 deg. Full color flow maps from different parts of the cardiac cycle are presented, including vector arrows indicating both estimated flow direction and velocity magnitude.

Original language | English |
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Journal | I E E E Transactions on Medical Imaging |

Volume | 25 |

Issue number | 12 |

Pages (from-to) | 1637-1644 |

ISSN | 0278-0062 |

DOIs | |

Publication status | Published - 2006 |

### Bibliographical note

Copyright: 2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE## Cite this

Jensen, J. A., & Oddershede, N. (2006). Estimation of velocity vectors in synthetic aperture ultrasound imaging.

*I E E E Transactions on Medical Imaging*,*25*(12), 1637-1644. https://doi.org/10.1109/TMI.2006.883087