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Constrained Least Square Method Applied in FIR Filter Design(PDF)

南京师范大学学报（工程技术版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2007年01期
Page:
18-21
Research Field:
Publishing date:

Info

Title:
Constrained Least Square Method Applied in FIR Filter Design
Author(s):
Sun Ying1; Liu Qing1; Yang Tao2
1.School of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China;2.Institute of Communication Engineering,PLAUST,Nanjing 210007,China
Keywords:
constra ined least square;  FIR filter;  design
PACS:
TN713
DOI:
-
Abstract:
Low pass filter is always used in restra in ing no ises o f im age and im prov ing the im ag e qua lities. In app lication, to ensure the linear phase o f im ag e, FIR filter is usua lly chosen as it can rea lize the str ict linea r phase under the conditions. Designing FIR filer actua lly m eans so lv ing a group of fine coe fficien ts. In th is paper, constra ined least squarem ethod is applied to design FIR low pass filter. In o rder to find good so lution to FIR filter w ith som e equation restrictions, the least square algor ithm is comb ined w ith Lag rang em ethod. First, transfo rm the least square question into a condition-extremum question w hich can be solved by Lag range m ethod. Then construc t the Lagrange function and ge t the so lution. Th is m ethod is proved effic ient by simu lating and compar ing w ith the gene tic a lgo rithm.

References:

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Last Update: 2013-04-29