{"title":"数字信号处理(DSP)中的MVDR教学要点","authors":"Xiansheng Guo, Q. Wan, Ying Zhang, Jintao Liang","doi":"10.1109/TALE.2012.6360341","DOIUrl":null,"url":null,"abstract":"The minimum variance distortionless response (MVDR) beamformer is a classical filter to reduce the interference plus noise energy without distorting the desired signal. Semidefinite programming (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function over the intersection of the cone of positive semidefinite matrices. In this paper, we will show MVDR objective function can be derived from SDP objective function and vice versa. This conclusion can help students better understand MVDR from convex optimization and bring them a new insight of MVDR theory.","PeriodicalId":407302,"journal":{"name":"Proceedings of IEEE International Conference on Teaching, Assessment, and Learning for Engineering (TALE) 2012","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Teaching notes of MVDR in digital signal processing (DSP)\",\"authors\":\"Xiansheng Guo, Q. Wan, Ying Zhang, Jintao Liang\",\"doi\":\"10.1109/TALE.2012.6360341\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The minimum variance distortionless response (MVDR) beamformer is a classical filter to reduce the interference plus noise energy without distorting the desired signal. Semidefinite programming (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function over the intersection of the cone of positive semidefinite matrices. In this paper, we will show MVDR objective function can be derived from SDP objective function and vice versa. This conclusion can help students better understand MVDR from convex optimization and bring them a new insight of MVDR theory.\",\"PeriodicalId\":407302,\"journal\":{\"name\":\"Proceedings of IEEE International Conference on Teaching, Assessment, and Learning for Engineering (TALE) 2012\",\"volume\":\"45 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of IEEE International Conference on Teaching, Assessment, and Learning for Engineering (TALE) 2012\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/TALE.2012.6360341\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE International Conference on Teaching, Assessment, and Learning for Engineering (TALE) 2012","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/TALE.2012.6360341","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Teaching notes of MVDR in digital signal processing (DSP)
The minimum variance distortionless response (MVDR) beamformer is a classical filter to reduce the interference plus noise energy without distorting the desired signal. Semidefinite programming (SDP) is a subfield of convex optimization concerned with the optimization of a linear objective function over the intersection of the cone of positive semidefinite matrices. In this paper, we will show MVDR objective function can be derived from SDP objective function and vice versa. This conclusion can help students better understand MVDR from convex optimization and bring them a new insight of MVDR theory.