Analysis and optimal realization of pole-zero sensitivity for FIR digital filters
Aiming at the deviation of pole and zero in filters which caused by the finite word length (FWL) effects,the sensitivity of pole and zero for FIR digital filters to coefficient errors was studied based on the state-space model.Unlike the IIR filter,the system matrix in state-space model of the FIR f...
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| Format: | Article |
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Editorial Department of Journal on Communications
2018-09-01
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| Series: | Tongxin xuebao |
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| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018167/ |
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| author | Ling ZHUANG Jingyi MA Guangyu WANG Juan GUAN |
| author_facet | Ling ZHUANG Jingyi MA Guangyu WANG Juan GUAN |
| author_sort | Ling ZHUANG |
| collection | DOAJ |
| description | Aiming at the deviation of pole and zero in filters which caused by the finite word length (FWL) effects,the sensitivity of pole and zero for FIR digital filters to coefficient errors was studied based on the state-space model.Unlike the IIR filter,the system matrix in state-space model of the FIR filter was defective.A set of generalized eigenvectors of defective matrix was introduced to analyze the pole sensitivity and derive the measure expression,and optimal realizations with respect to pole-zero sensitivity for FIR filters were proposed by finding optimal transformation matrices according to the similarity transformation theory.Theoretical analysis and simulation experiments show that the poles of a FIR filter are more sensitive to coefficient errors,and the proposed optimal realizations can reduce the sensitivity. |
| format | Article |
| id | doaj-art-12ac0460fb3342fa8e88f05fe42e8515 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2018-09-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-12ac0460fb3342fa8e88f05fe42e85152025-01-14T07:15:32ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2018-09-013916817759720880Analysis and optimal realization of pole-zero sensitivity for FIR digital filtersLing ZHUANGJingyi MAGuangyu WANGJuan GUANAiming at the deviation of pole and zero in filters which caused by the finite word length (FWL) effects,the sensitivity of pole and zero for FIR digital filters to coefficient errors was studied based on the state-space model.Unlike the IIR filter,the system matrix in state-space model of the FIR filter was defective.A set of generalized eigenvectors of defective matrix was introduced to analyze the pole sensitivity and derive the measure expression,and optimal realizations with respect to pole-zero sensitivity for FIR filters were proposed by finding optimal transformation matrices according to the similarity transformation theory.Theoretical analysis and simulation experiments show that the poles of a FIR filter are more sensitive to coefficient errors,and the proposed optimal realizations can reduce the sensitivity.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018167/FIR digital filterstate-space realizationpole and zero sensitivitydefective matrixgeneralized eigenvector |
| spellingShingle | Ling ZHUANG Jingyi MA Guangyu WANG Juan GUAN Analysis and optimal realization of pole-zero sensitivity for FIR digital filters Tongxin xuebao FIR digital filter state-space realization pole and zero sensitivity defective matrix generalized eigenvector |
| title | Analysis and optimal realization of pole-zero sensitivity for FIR digital filters |
| title_full | Analysis and optimal realization of pole-zero sensitivity for FIR digital filters |
| title_fullStr | Analysis and optimal realization of pole-zero sensitivity for FIR digital filters |
| title_full_unstemmed | Analysis and optimal realization of pole-zero sensitivity for FIR digital filters |
| title_short | Analysis and optimal realization of pole-zero sensitivity for FIR digital filters |
| title_sort | analysis and optimal realization of pole zero sensitivity for fir digital filters |
| topic | FIR digital filter state-space realization pole and zero sensitivity defective matrix generalized eigenvector |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2018167/ |
| work_keys_str_mv | AT lingzhuang analysisandoptimalrealizationofpolezerosensitivityforfirdigitalfilters AT jingyima analysisandoptimalrealizationofpolezerosensitivityforfirdigitalfilters AT guangyuwang analysisandoptimalrealizationofpolezerosensitivityforfirdigitalfilters AT juanguan analysisandoptimalrealizationofpolezerosensitivityforfirdigitalfilters |