scholarly journals On1/fNoise

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Ming Li ◽  
Wei Zhao
Keyword(s):  
Signal Processing ◽  
Differential Equations ◽  
Random Function ◽  
Biomedical Signal Processing ◽  
Living Systems ◽  
Long Range Dependence ◽  
Biomedical Signal ◽  
Random Functions ◽  
The Third ◽  
Heavy Tailed

Due to the fact that1/fnoise gains the increasing interests in the field of biomedical signal processing and living systems, we present this introductive survey that may suffice to exhibit the elementary and the particularities of1/fnoise in comparison with conventional random functions. Three theorems are given for highlighting the particularities of1/fnoise. The first says that a random function with long-range dependence (LRD) is a1/fnoise. The secondindicates that a heavy-tailed random function is in the class of1/fnoise. The third provides a type of stochastic differential equations that produce1/fnoise.

scholarly journals Long range dependence of heavy-tailed random functions

2021 ◽  
Vol 58 (3) ◽  
pp. 569-593
Author(s):  
Rafal Kulik ◽  
Evgeny Spodarev
Keyword(s):  
Long Range ◽  
Random Function ◽  
Limit Theorems ◽  
Random Processes ◽  
Long Range Dependence ◽  
Infinite Variance ◽  
Random Functions ◽  
Heavy Tailed ◽  
Definition Of ◽  
Index Space

AbstractWe introduce a definition of long range dependence of random processes and fields on an (unbounded) index space $T\subseteq \mathbb{R}^d$ in terms of integrability of the covariance of indicators that a random function exceeds any given level. This definition is specifically designed to cover the case of random functions with infinite variance. We show the value of this new definition and its connection to limit theorems via some examples including subordinated Gaussian as well as random volatility fields and time series.

scholarly journals Biomedical Signal Processing and Modeling Complexity of Living Systems 2013

2013 ◽  
Vol 2013 ◽  
pp. 1-2 ◽  
Author(s):  
Carlo Cattani ◽  
Radu Badea ◽  
Sheng-Yong Chen ◽  
Maria Crisan
Keyword(s):  
Signal Processing ◽  
Biomedical Signal Processing ◽  
Living Systems ◽  
Biomedical Signal

scholarly journals Biomedical Signal Processing and Modeling Complexity of Living Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-2 ◽  
Author(s):  
Carlo Cattani ◽  
Radu Badea ◽  
Shengyong Chen ◽  
Maria Crisan
Keyword(s):  
Signal Processing ◽  
Biomedical Signal Processing ◽  
Living Systems ◽  
Biomedical Signal

scholarly journals Guest Editorial introduction to the special issue on Biomedical Signal Processing and Analysis selected papers from ITAB 2009

2011 ◽  
Vol 6 (3) ◽  
pp. 217-218
Author(s):  
Constantinos S. Pattichis ◽  
Panagiotis D. Bamidis ◽  
Christodoulos Christodoulou ◽  
Efthyvoulos Kyriakou ◽  
Georgios D. Mitsis ◽  
...  
Keyword(s):  
Signal Processing ◽  
Guest Editorial ◽  
Biomedical Signal Processing ◽  
Editorial Introduction ◽  
Special Issue ◽  
Biomedical Signal
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