A Fast Implementation of a Minimum Variance Estimator for Computerized Tomography Image Reconstruction

1981 ◽  
Vol BME-28 (2) ◽  
pp. 56-68 ◽  
Author(s):  
Sally L. Wood ◽  
Martin Morf
Keyword(s):  
Image Reconstruction ◽  
Computerized Tomography ◽  
Minimum Variance ◽  
Variance Estimator ◽  
Fast Implementation ◽  
Minimum Variance Estimator ◽  
Tomography Image

Fast minimum variance estimator for limited angle CT image reconstruction

1981 ◽  
Vol 8 (5) ◽  
pp. 695-702 ◽  
Author(s):  
Michael H. Buonocore ◽  
William R. Brody ◽  
Albert Macovski
Keyword(s):  
Image Reconstruction ◽  
Minimum Variance ◽  
Ct Image ◽  
Variance Estimator ◽  
Minimum Variance Estimator ◽  
Ct Image Reconstruction ◽  
Limited Angle

scholarly journals A distributed minimum variance estimator for sensor networks

2008 ◽  
Vol 26 (4) ◽  
pp. 609-621 ◽  
Author(s):  
A. Speranzon ◽  
C. Fischione ◽  
K. Johansson ◽  
A. Sangiovanni-Vincentelli
Keyword(s):  
Sensor Networks ◽  
Minimum Variance ◽  
Variance Estimator ◽  
Minimum Variance Estimator

scholarly journals Error Propagation of Capon’s Minimum Variance Estimator

2021 ◽  
Vol 9 ◽  
Author(s):  
S. Toepfer ◽  
Y. Narita ◽  
D. Heyner ◽  
U. Motschmann
Keyword(s):  
Measurement Errors ◽  
Error Propagation ◽  
Minimum Variance ◽  
Least Square ◽  
Variance Estimator ◽  
Position Errors ◽  
Minimum Variance Estimator ◽  
Least Square Fit ◽  
Special Case ◽  
Key Parameter

The error propagation of Capon’s minimum variance estimator resulting from measurement errors and position errors is derived within a linear approximation. It turns out, that Capon’s estimator provides the same error propagation as the conventionally used least square fit method. The shape matrix which describes the location depence of the measurement positions is the key parameter for the error propagation, since the condition number of the shape matrix determines how the errors are amplified. Furthermore, the error resulting from a finite number of data samples is derived by regarding Capon’s estimator as a special case of the maximum likelihood estimator.

Sign in / Sign up

Export Citation Format

Share Document