scholarly journals Design of Special Impacting Filter for Multicarrier ABPSK System

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Zhimin Chen ◽  
Lenan Wu
Keyword(s):  
Quadratic Programming ◽  
Cost Function ◽  
Frequency Response ◽  
Programming Problem ◽  
Iterative Scheme ◽  
Notch Filter ◽  
Least Square ◽  
Quadratic Programming Problem ◽  
Least Square Problem ◽  
The Cost

A rather intuitive technique known as pole-zero placement is introduced to illustrate the frequency response of the special impacting filters (SIFs) with a pair of conjugate zero-poles and deduce the equation of the pole radii. Based on that, the paper proposes an iterative scheme to derive the parameters of the cascade notch filter. The cost function is determined by the cascading notch filter’s influence on impacting filters, converting the cost function’s least square problem to a filter parameters’ standard quadratic programming problem. Finally, a cascading notch SIF (CNSIF) designed to demodulate the ABPSK signals is realized.

scholarly journals On the closure of the sum of closed subspaces

2001 ◽  
Vol 26 (5) ◽  
pp. 257-267 ◽  
Author(s):  
Irwin E. Schochetman ◽  
Robert L. Smith ◽  
Sze-Kai Tsui
Keyword(s):  
Hilbert Space ◽  
Quadratic Programming ◽  
Programming Problem ◽  
Sufficient Conditions ◽  
Optimal Solution ◽  
The Other ◽  
Quadratic Programming Problem ◽  
Orthogonal Projections ◽  
The Cost ◽  
Necessary And Sufficient

We give necessary and sufficient conditions for the sum of closed subspaces of a Hilbert space to be closed. Specifically, we show that the sum will be closed if and only if the angle between the subspaces is not zero, or if and only if the projection of either space into the orthogonal complement of the other is closed. We also give sufficient conditions for the sum to be closed in terms of the relevant orthogonal projections. As a consequence, we obtain sufficient conditions for the existence of an optimal solution to an abstract quadratic programming problem in terms of the kernels of the cost and constraint operators.

scholarly journals An improved constrained predictive functional control for industrial processes: A chamber pressure process study

2020 ◽  
Vol 53 (5-6) ◽  
pp. 833-840
Author(s):  
Sheng Wu ◽  
Pingzhi Hou ◽  
Hongbo Zou
Keyword(s):  
Model Predictive Control ◽  
Quadratic Programming ◽  
Cost Function ◽  
Programming Problem ◽  
Predictive Control ◽  
Quadratic Programming Problem ◽  
Coke Furnace ◽  
Predictive Functional Control ◽  
Functional Control ◽  
Constrained Model

An improved constrained predictive functional control for the pressure of a coke furnace is proposed in this article. In conventional constrained model predictive control, a quadratic programming problem is usually constructed to replace the original cost function and constraints to obtain the optimal control law. Under strict constraints, however, the relevant quadratic programming problem may have no feasible solutions. Unlike conventional approaches, there are several effective relaxations introduced for the constraints in the proposed scheme; then, a new cost function and the new transformed constraints are generated. With the improved constraints and cost function, there are always acceptable solutions for the quadratic programming problem under various conditions. The validity of the presented constrained model predictive control algorithm is evaluated through the regulation of the pressure of the coke furnace.

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