Alternating projection method applied to indefinite correlation matrices for generation of synthetic MIMO channels

2010 ◽  
Vol 64 (1) ◽  
pp. 1-7 ◽  
Author(s):  
Alexis P. Garci´a Ariza ◽  
José F. Monserrat ◽  
Lorenzo Rubio
Keyword(s):  
Projection Method ◽  
Mimo Channels ◽  
Correlation Matrices ◽  
Alternating Projection ◽  
Alternating Projection Method

Order Reduction of Controller Based on LMIs Improving Error Bounds

1997 ◽  
Author(s):  
Roberd Saragih ◽  
Yoshida Kazuo
Keyword(s):  
Projection Method ◽  
Order Reduction ◽  
Feasibility Problem ◽  
Closed Loop System ◽  
Reduced Order ◽  
Bounded Real Lemma ◽  
Convex Feasibility ◽  
Alternating Projection ◽  
Alternating Projection Method ◽  
Order Reduction Method

Abstract In this paper, we propose an order reduction method of controller based on combination of the alternating projection method and the balanced truncation. In this method both the errors of controller and the closed-loop system caused by the reduced-order controller can be improved simultaneously. By using a generalized Bounded Real Lemma, a feasible reduced-order controller can be derived. The sufficient condition for the existence of a reduced-order controller leads to a non-convex feasibility problem. To solve the problem, we can use an improved computational scheme based on the alternating projection method. But it is needed so much time to solve the problem if compared by the other methods. To validate the proposed method, some numerical calculations and simulations are carried out.

A Novel Dictionaries Preconditioning Algorithm for Compressive Sensing

2011 ◽  
Vol 130-134 ◽  
pp. 183-187
Author(s):  
Chao Zhang ◽  
Yi He ◽  
Bo Li
Keyword(s):  
Compressive Sensing ◽  
Projection Method ◽  
Coherence Property ◽  
Construction Algorithm ◽  
Alternating Projection ◽  
Alternating Projection Method

A Novel dictionaries preconditioning algorithm for compressive sensing is proposed in this paper. This algorithm uses alternating projection method to construct sensing and measurement dictionaries with low mutual and cumulative cross coherence. The coherence property of the constructed dictionaries is superior to those constructed by Schnass’ method and by Dictionaries Construction algorithm. The complexity and computation amount is lower than Dictionaries Construction algorithm. The constructed dictionaries improve the performance of OMP and SP algorithms.

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