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Detection of Patterns Within Randomness
- Source :
- Understanding Complex Systems ISBN: 9783642046285
- Publication Year :
- 2010
- Publisher :
- Springer Berlin Heidelberg, 2010.
-
Abstract
- The identification of jittered regular signals (="patterns#) embedded in a noisy background is an important and difficult task, particularly in the neurosciences. Traditional methods generally fail to capture such signals. Staircase-like structures in the log–log correlation plot, however, are reliable indicators of such signal components.We provide a number of applications of this method and derive an analytic relationship between the length of the pattern n and the maximal number of steps s(n,m) that are observable at a chosen embedding dimension m. For integer linearly independent patterns and small jitter and noise, the length of the embedded pattern can be calculated from the number of steps. The method is demonstrated to have a huge potential for experimental applications.
- Subjects :
- 2206 Computational Mechanics
Noise (signal processing)
610 Medicine & health
1702 Artificial Intelligence
Plot (graphics)
170 Ethics
1712 Software
Dimension (vector space)
10222 Institute of Biomedical Ethics and History of Medicine
Embedding
Linear independence
10001 Center for Ethics
Algorithm
Randomness
Jitter
Integer (computer science)
Subjects
Details
- ISBN :
- 978-3-642-04628-5
- ISBNs :
- 9783642046285
- Database :
- OpenAIRE
- Journal :
- Understanding Complex Systems ISBN: 9783642046285
- Accession number :
- edsair.doi.dedup.....b54322799ccd68300aa1c14ac99d74ab