Optimal Spatial Matrix Filter Design for Array Signal Preprocessing
Joint Authors
Tan, Hongyan
Ji, Kai
Xu, Chi
Zhang, Haiyong
Zhu, Lijuan
Ren, Zhong
Han, Dong
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
An efficient technique of designing spatial matrix filter for array signal preprocessing based on convex programming was proposed.
Five methods were considered for designing the filter.
In design method 1, we minimized the passband fidelity subject to the controlled overall stopband attenuation level.
In design method 2, the objective function and the constraint in the design method 1 were reversed.
In design method 3, the optimal matrix filter which has the general mean square error was considered.
In design method 4, the left stopband and the right stopband were constrained with specific attenuation level each, and the minimized passband fidelity was received.
In design method 5, the optimization objective function was the sum of the left stopband and the right stopband attenuation levels with the weighting factors 1 and γ, respectively, and the passband fidelity was the constraints.
The optimal solution of the optimizations above was derived by the Lagrange multiplier theory.
The relations between the optimal solutions were analyzed.
The generalized singular value decomposition was introduced to simplify the optimal solution of design methods 1 and 2 and enhanced the efficiency of solving the Lagrange multipliers.
By simulations, it could be found that the proposed method was effective for designing the spatial matrix filter.
American Psychological Association (APA)
Zhang, Haiyong& Han, Dong& Ji, Kai& Ren, Zhong& Xu, Chi& Zhu, Lijuan…[et al.]. 2014. Optimal Spatial Matrix Filter Design for Array Signal Preprocessing. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-481193
Modern Language Association (MLA)
Zhang, Haiyong…[et al.]. Optimal Spatial Matrix Filter Design for Array Signal Preprocessing. Journal of Applied Mathematics No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-481193
American Medical Association (AMA)
Zhang, Haiyong& Han, Dong& Ji, Kai& Ren, Zhong& Xu, Chi& Zhu, Lijuan…[et al.]. Optimal Spatial Matrix Filter Design for Array Signal Preprocessing. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-481193
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481193