### Abstract

Log compression of A lines to produce B-scan images in clinical ultrasound imaging systems is a standard procedure to control the dynamic range of the images. The statistics of such compressed images in terms of underlying scatterer statistics have not been derived. The statistics are analyzed for partially formed speckle using a general K distribution model of envelope statistics to derive the density function for the log-compressed envelope. This density function is used to elucidate the relation between the moments of the compressed envelope, the compression parameters, and the statistics of the scatterers. The analysis shows that the mean of the log-compressed envelope is an increasing function of both the backscattered energy and the effective scatterer density. The variance of the log-compressed envelope is a decreasing function of the effective scatterer density and is independent of the backscattered energy.

Original language | English (US) |
---|---|

Pages (from-to) | 3817-3825 |

Number of pages | 9 |

Journal | Journal of the Acoustical Society of America |

Volume | 99 |

Issue number | 6 |

DOIs | |

State | Published - Jun 1996 |

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### ASJC Scopus subject areas

- Acoustics and Ultrasonics

### Cite this

*Journal of the Acoustical Society of America*,

*99*(6), 3817-3825. https://doi.org/10.1121/1.414999

**Statistics of the log-compressed echo envelope.** / Dutt, Vinayak; Greenleaf, James F.

Research output: Contribution to journal › Article

*Journal of the Acoustical Society of America*, vol. 99, no. 6, pp. 3817-3825. https://doi.org/10.1121/1.414999

}

TY - JOUR

T1 - Statistics of the log-compressed echo envelope

AU - Dutt, Vinayak

AU - Greenleaf, James F

PY - 1996/6

Y1 - 1996/6

N2 - Log compression of A lines to produce B-scan images in clinical ultrasound imaging systems is a standard procedure to control the dynamic range of the images. The statistics of such compressed images in terms of underlying scatterer statistics have not been derived. The statistics are analyzed for partially formed speckle using a general K distribution model of envelope statistics to derive the density function for the log-compressed envelope. This density function is used to elucidate the relation between the moments of the compressed envelope, the compression parameters, and the statistics of the scatterers. The analysis shows that the mean of the log-compressed envelope is an increasing function of both the backscattered energy and the effective scatterer density. The variance of the log-compressed envelope is a decreasing function of the effective scatterer density and is independent of the backscattered energy.

AB - Log compression of A lines to produce B-scan images in clinical ultrasound imaging systems is a standard procedure to control the dynamic range of the images. The statistics of such compressed images in terms of underlying scatterer statistics have not been derived. The statistics are analyzed for partially formed speckle using a general K distribution model of envelope statistics to derive the density function for the log-compressed envelope. This density function is used to elucidate the relation between the moments of the compressed envelope, the compression parameters, and the statistics of the scatterers. The analysis shows that the mean of the log-compressed envelope is an increasing function of both the backscattered energy and the effective scatterer density. The variance of the log-compressed envelope is a decreasing function of the effective scatterer density and is independent of the backscattered energy.

UR - http://www.scopus.com/inward/record.url?scp=0029893826&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029893826&partnerID=8YFLogxK

U2 - 10.1121/1.414999

DO - 10.1121/1.414999

M3 - Article

VL - 99

SP - 3817

EP - 3825

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

SN - 0001-4966

IS - 6

ER -