Title :
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
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;
Conference_Titel :
Image Analysis and Interpretation, 1994., Proceedings of the IEEE Southwest Symposium on
Conference_Location :
Dallas, TX
Print_ISBN :
0-8186-6250-6
DOI :
10.1109/IAI.1994.336688
