Theoretical and experimental comparison of the Lorenz information measure, entropy, and the mean absolute error

Author

McMurray, Tom ; Pearce, John A.

Author_Institution

Biomed. Eng., Texas Univ., Austin, TX, USA

fYear

1994

fDate

21-24 Apr 1994

Firstpage

24

Lastpage

29

Abstract

The Lorenz (1905) information measure (LIM) is a function of the observed probability sequence of digital signals, similar to the signal entropy, and is approximately linearly related to the mean absolute error (MAE) in simulations employing uncorrupted and corrupted 2-dimensional Gaussian and magnetic resonance (MR) images. Unlike the MAE, the LIM does not require an uncorrupted reference signal for a distance computation. However, for the particular difference signal case imposed by the definition of the MAE, the LIM is asymptotically bounded by the MAE/signal quantization number ratio. Therefore, in applications where an uncorrupted signal does not exist, and thus, the MAE is undefined, the LIM provides a comparable signal processing performance measure

Keywords

digital signals; image processing; information theory; probability; 2D Gaussian images; Lorenz information measure; MAE/signal quantization number ratio; difference signal; digital signals; entropy; magnetic resonance images; mean absolute error; probability sequence; signal processing performance measure; Additive noise; Biomedical engineering; Biomedical measurements; Biomedical signal processing; Convergence; Entropy; Linear approximation; Magnetic resonance; Quantization; Signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Analysis and Interpretation, 1994., Proceedings of the IEEE Southwest Symposium on

Conference_Location

Dallas, TX

Print_ISBN

0-8186-6250-6

Type

conf

DOI

10.1109/IAI.1994.336688

Filename

336688