Non-linear Transform Based Robust Adaptive Latency Change Estimation of Evoked Potentials

2012 ◽  
pp. 233-242
Author(s):  
Hu Sheng ◽  
YangQuan Chen ◽  
TianShuang Qiu
Keyword(s):  
Evoked Potentials ◽  
Non Linear ◽  
Linear Transform ◽  
Robust Adaptive

Non-Linear Transform-Based Robust Adaptive Latency Change Estimation of Evoked Potentials

2002 ◽  
Vol 41 (04) ◽  
pp. 331-336 ◽  
Author(s):  
H. Wang ◽  
Y. Zhang ◽  
H. Bao ◽  
T. Qiu
Keyword(s):  
Data Analysis ◽  
Evoked Potentials ◽  
Lower Order ◽  
Error Function ◽  
Stable Process ◽  
Detection Algorithm ◽  
Order Moment ◽  
Linear Transform ◽  
Robust Adaptive ◽  
Stable Noise

Summary Objectives: To improve the latency change estimation of evoked potentials (EP) under the lower order -stable noise conditions by proposing and analyzing a new adaptive EP latency change detection algorithm (referred to as the NLST). Methods: The NLST algorithm is based on the fractional lower order moment and the nonlinear transform for the error function. The computer simulation and data analysis verify the robustness of the new algorithm. Results: The theoretical analysis shows that the iteration equation of the NLST transforms the lower order α-stable process en (k) into a second order moment process by a nonlinear transform. The simulations and the data analysis showed the robustness of the NLST under the lower order α-stable noise conditions. Conclusions: The new algorithm is robust under the lower order -stable noise conditions, and it also provides a better performance than the DLMS, DLMP and SDA algorithms without the need to estimate thevalue of the EP signals and noises.

Application of non-linear transform coding to image processing

2012 ◽  
Author(s):  
Jens Hocke ◽  
Erhardt Barth ◽  
Thomas Martinetz
Keyword(s):  
Image Processing ◽  
Transform Coding ◽  
Non Linear ◽  
Linear Transform

scholarly journals Exact Mechanical Hierarchy of Non-Linear Fractional-Order Hereditariness

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 673
Author(s):  
Gioacchino Alotta ◽  
Emanuela Bologna ◽  
Massimiliano Zingales
Keyword(s):  
Functionally Graded ◽  
State Variable ◽  
Linear Approach ◽  
Power Law Decay ◽  
Separable Kernel ◽  
Proposed Model ◽  
Non Linear ◽  
Linear Transform ◽  
Single Integral ◽  
Non Local

Non-local time evolution of material stress/strain is often referred to as material hereditariness. In this paper, the widely used non-linear approach to single integral time non-local mechanics named quasi-linear approach is proposed in the context of fractional differential calculus. The non-linear model of the springpot is defined in terms of a single integral with separable kernel endowed with a non-linear transform of the state variable that allows for the use of Boltzmann superposition. The model represents a self-similar hierarchy that allows for a time-invariance as the result of the application of the conservation laws at any resolution scale. It is shown that the non-linear springpot possess an equivalent mechanical hierarchy in terms of a functionally-graded elastic column resting on viscous dashpots with power-law decay of the material properties. Some numerical applications are reported to show the capabilities of the proposed model.

Sign in / Sign up

Export Citation Format

Share Document