Next Article in Journal
Content Based Image Retrieval Using Embedded Neural Networks with Bandletized Regions
Previous Article in Journal
Information Decomposition and Synergy
Open AccessArticle

Entropy vs. Energy Waveform Processing: A Comparison Based on the Heat Equation

Pacific Northwest National Laboratory, 902 Battelle Blvd., Richland, WA 99354, USA
Department of Mathematics,Washington University in St. Louis, 1 Brookings Dr., St Louis, MO 63130, USA
School of Medicine, Washington University in St. Louis, 660 S. Euclid Ave, St Louis, MO 63110, USA
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Entropy 2015, 17(6), 3518-3551;
Received: 20 January 2015 / Accepted: 20 May 2015 / Published: 25 May 2015
Virtually all modern imaging devices collect electromagnetic or acoustic waves and use the energy carried by these waves to determine pixel values to create what is basically an “energy” picture. However, waves also carry “information”, as quantified by some form of entropy, and this may also be used to produce an “information” image. Numerous published studies have demonstrated the advantages of entropy, or “information imaging”, over conventional methods. The most sensitive information measure appears to be the joint entropy of the collected wave and a reference signal. The sensitivity of repeated experimental observations of a slowly-changing quantity may be defined as the mean variation (i.e., observed change) divided by mean variance (i.e., noise). Wiener integration permits computation of the required mean values and variances as solutions to the heat equation, permitting estimation of their relative magnitudes. There always exists a reference, such that joint entropy has larger variation and smaller variance than the corresponding quantities for signal energy, matching observations of several studies. Moreover, a general prescription for finding an “optimal” reference for the joint entropy emerges, which also has been validated in several studies. View Full-Text
Keywords: information wave; optimal detection; entropy image; joint entropy information wave; optimal detection; entropy image; joint entropy
MDPI and ACS Style

Hughes, M.S.; McCarthy, J.E.; Bruillard, P.J.; Marsh, J.N.; Wickline, S.A. Entropy vs. Energy Waveform Processing: A Comparison Based on the Heat Equation. Entropy 2015, 17, 3518-3551.

Show more citation formats Show less citations formats

Article Access Map by Country/Region

Only visits after 24 November 2015 are recorded.
Search more from Scilit
Back to TopTop