entropy vs. energy waveform processing: a comparison based on the heat equation

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ID: 134603
2015
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Abstract
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.
Reference Key
hughes2015entropyentropy Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Michael S. Hughes;John E. McCarthy;Paul J. Bruillard;Jon N. Marsh;Samuel A. Wickline
Journal European journal of medicinal chemistry
Year 2015
DOI
10.3390/e17063518
URL
http://www.mdpi.com/1099-4300/17/6/3518
Keywords Keywords not found

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