Variable-step-size multimodulus blind decision-feedback equalization for high-order QAM based on boundary MSE estimation

2004 ◽  
Author(s):  
Kun-Chien Hung ◽  
D.W. Lin ◽  
Chun-Nan Ke
Keyword(s):  
High Order ◽  
Decision Feedback ◽  
Variable Step Size ◽  
Step Size ◽  
Decision Feedback Equalization ◽  
Variable Step

scholarly journals Variable Step Size Adams Methods for BSDEs

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Qiang Han
Keyword(s):  
High Order ◽  
Variable Step Size ◽  
Necessary And Sufficient Condition ◽  
Step Size ◽  
Truncation Errors ◽  
Adams Methods ◽  
Variable Step ◽  
High Order Convergence ◽  
The Stability ◽  
Necessary And Sufficient

For backward stochastic differential equations (BSDEs), we construct variable step size Adams methods by means of Itô–Taylor expansion, and these schemes are nonlinear multistep schemes. It is deduced that the conditions of local truncation errors with respect to Y and Z reach high order. The coefficients in the numerical methods are inferred and bounded under appropriate conditions. A necessary and sufficient condition is given to judge the stability of our numerical schemes. Moreover, the high-order convergence of the schemes is rigorously proved. The numerical illustrations are provided.

A Variable Step-Size for Sparse Nonlinear Adaptive Filters

2021 ◽  
Author(s):  
Alberto Carini ◽  
Markus V. S. Lima ◽  
Hamed Yazdanpanah ◽  
Simone Orcioni ◽  
Stefania Cecchi
Keyword(s):  
Adaptive Filters ◽  
Variable Step Size ◽  
Step Size ◽  
Variable Step
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