Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation
The focal underdetermined system solver（FOCUSS） is a powerful tool for sparse representation in complex underdetermined systems. This paper presents the fast FOCUSS method based on the bi-conjugate gradient（BICG）, termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUS...
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| Veröffentlicht in: | Science China. Information sciences 2017-08, Vol.60 (8), p.159-171, Article 082302 |
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| creator | Bai, Gatai Tao, Ran Zhao, Juan Bai, Xia Wang, Yue |
| description | The focal underdetermined system solver（FOCUSS） is a powerful tool for sparse representation in complex underdetermined systems. This paper presents the fast FOCUSS method based on the bi-conjugate gradient（BICG）, termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS. Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy. Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing（SR-STAP）, we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system. The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data. |
| doi_str_mv | 10.1007/s11432-015-1016-x |
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This paper presents the fast FOCUSS method based on the bi-conjugate gradient（BICG）, termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS. Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy. Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing（SR-STAP）, we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system. The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data.</description><identifier>ISSN: 1674-733X</identifier><identifier>EISSN: 1869-1919</identifier><identifier>DOI: 10.1007/s11432-015-1016-x</identifier><language>eng</language><publisher>Beijing: Science China Press</publisher><subject>Accuracy ; Algorithms ; Clutter ; Complexity ; Computer Science ; Computing time ; Estimation ; Information Systems and Communication Service ; Iterative methods ; Linear equations ; Radar ; Radar arrays ; Research Paper ; Spacetime ; 双共轭梯度 ; 应用 ; 杂波频谱 ; 测试方法 ; 稀疏表示 ; 空时自适应处理 ; 雷达系统 ; 频谱估计</subject><ispartof>Science China. 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Information sciences</title><addtitle>Sci. China Inf. Sci</addtitle><addtitle>SCIENCE CHINA Information Sciences</addtitle><description>The focal underdetermined system solver（FOCUSS） is a powerful tool for sparse representation in complex underdetermined systems. This paper presents the fast FOCUSS method based on the bi-conjugate gradient（BICG）, termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS. Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy. Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing（SR-STAP）, we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system. The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data.</description><subject>Accuracy</subject><subject>Algorithms</subject><subject>Clutter</subject><subject>Complexity</subject><subject>Computer Science</subject><subject>Computing time</subject><subject>Estimation</subject><subject>Information Systems and Communication Service</subject><subject>Iterative methods</subject><subject>Linear equations</subject><subject>Radar</subject><subject>Radar arrays</subject><subject>Research Paper</subject><subject>Spacetime</subject><subject>双共轭梯度</subject><subject>应用</subject><subject>杂波频谱</subject><subject>测试方法</subject><subject>稀疏表示</subject><subject>空时自适应处理</subject><subject>雷达系统</subject><subject>频谱估计</subject><issn>1674-733X</issn><issn>1869-1919</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kE9LwzAYh4MoOOY-gLeg52j-NW2PMpwKAw9z4C0kTdp1bE2XpDC_vZkdejOXhJfn9_7CA8AtwQ8E4_wxEMIZRZhkiGAi0PECTEghSkRKUl6mt8g5yhn7vAazELY4HcYwzYsJcAsVIly8z9erFdzbuHEGahWsga6DukWV67ZDo6KFjVemtV2EqjOwjQGqvt-1lYptIqODoVeVRbHdW1jthhitTyNbRT_soQ1p_kPegKta7YKdne8pWC-eP-avaPn-8jZ_WqKKlSQixnTJ60JhYuo8E4XJWYGZ0dgYzaghOstwRbmiXDMjaqszbmouLC1rY3Wt2BTcj3t77w5D6pdbN_guVUpaJjcEl0IkioxU5V0I3tay9-mj_ksSLE9q5ahWJrXypFYeU4aOmZDYrrH-b_N_obtz0cZ1zSHlfptETnNRcMHZN2cjiT4</recordid><startdate>20170801</startdate><enddate>20170801</enddate><creator>Bai, Gatai</creator><creator>Tao, Ran</creator><creator>Zhao, Juan</creator><creator>Bai, Xia</creator><creator>Wang, Yue</creator><general>Science China Press</general><general>Springer Nature B.V</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>W92</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>GNUQQ</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>P5Z</scope><scope>P62</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope></search><sort><creationdate>20170801</creationdate><title>Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation</title><author>Bai, Gatai ; Tao, Ran ; Zhao, Juan ; Bai, Xia ; Wang, Yue</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c391t-33b94f8a01df7568d73803db0ddb32d1b550c24a24b3d6feb54df46e29fdebfa3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Accuracy</topic><topic>Algorithms</topic><topic>Clutter</topic><topic>Complexity</topic><topic>Computer Science</topic><topic>Computing time</topic><topic>Estimation</topic><topic>Information Systems and Communication Service</topic><topic>Iterative methods</topic><topic>Linear equations</topic><topic>Radar</topic><topic>Radar arrays</topic><topic>Research Paper</topic><topic>Spacetime</topic><topic>双共轭梯度</topic><topic>应用</topic><topic>杂波频谱</topic><topic>测试方法</topic><topic>稀疏表示</topic><topic>空时自适应处理</topic><topic>雷达系统</topic><topic>频谱估计</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bai, Gatai</creatorcontrib><creatorcontrib>Tao, Ran</creatorcontrib><creatorcontrib>Zhao, Juan</creatorcontrib><creatorcontrib>Bai, Xia</creatorcontrib><creatorcontrib>Wang, Yue</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库-工程技术</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ProQuest Central Student</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>Science China. Information sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bai, Gatai</au><au>Tao, Ran</au><au>Zhao, Juan</au><au>Bai, Xia</au><au>Wang, Yue</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation</atitle><jtitle>Science China. Information sciences</jtitle><stitle>Sci. China Inf. Sci</stitle><addtitle>SCIENCE CHINA Information Sciences</addtitle><date>2017-08-01</date><risdate>2017</risdate><volume>60</volume><issue>8</issue><spage>159</spage><epage>171</epage><pages>159-171</pages><artnum>082302</artnum><issn>1674-733X</issn><eissn>1869-1919</eissn><abstract>The focal underdetermined system solver（FOCUSS） is a powerful tool for sparse representation in complex underdetermined systems. This paper presents the fast FOCUSS method based on the bi-conjugate gradient（BICG）, termed BICG-FOCUSS, to speed up the convergence rate of the original FOCUSS. BICGFOCUSS was specifically designed to reduce the computational complexity of FOCUSS by solving a complex linear equation using the BICG method according to the rank of the weight matrix in FOCUSS. Experimental results show that BICG-FOCUSS is more efficient in terms of computational time than FOCUSS without losing accuracy. Since FOCUSS is an efficient tool for estimating the space-time clutter spectrum in sparse recoverybased space-time adaptive processing（SR-STAP）, we propose BICG-FOCUSS to achieve a fast estimation of the space-time clutter spectrum in mono-static array radar and in the mountaintop system. The high performance of the proposed BICG-FOCUSS in the application is demonstrated with both simulated and real data.</abstract><cop>Beijing</cop><pub>Science China Press</pub><doi>10.1007/s11432-015-1016-x</doi><tpages>13</tpages></addata></record> |
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| subjects | Accuracy Algorithms Clutter Complexity Computer Science Computing time Estimation Information Systems and Communication Service Iterative methods Linear equations Radar Radar arrays Research Paper Spacetime 双共轭梯度 应用 杂波频谱 测试方法 稀疏表示 空时自适应处理 雷达系统 频谱估计 |
| title | Fast FOCUSS method based on bi-conjugate gradient and its application to space-time clutter spectrum estimation |
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