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Volumn 31, Issue 2, 2003, Pages 463-500

Solving the Selesnick-Burrus filter design equations using computational algebra and algebraic geometry

Author keywords

Digital filter; Gr bner basis; Resultant; Solving systems of polynomial equations

Indexed keywords


EID: 0141503448     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0196-8858(03)00022-8     Document Type: Article
Times cited : (4)

References (13)
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    • Busé, L.1    Elkadi, M.2    Mourrain, B.3
  • 2
    • 85010519644 scopus 로고
    • An Efficient Algorithm for the Mixed Sparse Resultant
    • G. Cohen, T. Mora, O. Moreno (Eds.), Codes (AAECC-10), in: Lecture Notes in Comput. Sci., Springer-Verlag, New York, NY
    • J. Canny, I. Emiris, An Efficient Algorithm for the Mixed Sparse Resultant, in: G. Cohen, T. Mora, O. Moreno (Eds.), Applied Algebra, Algebraic Algorithms, and Error Correcting Codes (AAECC-10), in: Lecture Notes in Comput. Sci., Vol. 673, Springer-Verlag, New York, NY, 1993, pp. 89-104.
    • (1993) Applied Algebra, Algebraic Algorithms, and Error Correcting , vol.673 , pp. 89-104
    • Canny, J.1    Emiris, I.2
  • 3
    • 0003352688 scopus 로고    scopus 로고
    • Using Algebraic Geometry
    • Springer-Verlag, New York, NY
    • D. Cox, J. Little, D. O'Shea, Using Algebraic Geometry, in: Graduate Texts in Math., Vol. 185, Springer-Verlag, New York, NY, 1998.
    • (1998) Graduate Texts in Math. , vol.185
    • Cox, D.1    Little, J.2    O'Shea, D.3
  • 5
    • 0000144406 scopus 로고
    • Algebraic Geometry, A First Course
    • Springer-Verlag, New York, NY
    • J. Harris, Algebraic Geometry, A First Course, in: Graduate Texts in Math., Vol. 133, Springer-Verlag, New York, NY, 1992.
    • (1992) Graduate Texts in Math. , vol.133
    • Harris, J.1
  • 7
    • 38149144730 scopus 로고
    • Le formalisme du résultant
    • J. Jouanolou, Le formalisme du résultant, Adv. Math. 90 (1991) 117-263.
    • (1991) Adv. Math. , vol.90 , pp. 117-263
    • Jouanolou, J.1
  • 8
    • 0141703544 scopus 로고
    • Algebraic and geometric reasoning using Dixon resultants
    • Proceedings of ACM International Symposium on Symbolic and Algebraic Computation, Montreal
    • D. Kapur, T. Saxena, L. Yang, Algebraic and geometric reasoning using Dixon resultants, in: Proceedings of ACM International Symposium on Symbolic and Algebraic Computation, Montreal, 1995.
    • (1995)
    • Kapur, D.1    Saxena, T.2    Yang, L.3
  • 9
    • 85031059304 scopus 로고    scopus 로고
    • On Selesnick and Burrus' maximally flat filters with reduced group delay
    • in preparation
    • R. Lewis, J. Little, On Selesnick and Burrus' maximally flat filters with reduced group delay, in preparation.
    • Lewis, R.1    Little, J.2
  • 10
    • 25944448944 scopus 로고    scopus 로고
    • An introduction to algebraic methods for solving polynomial equations
    • Preprint, February
    • B. Mourrain, An introduction to algebraic methods for solving polynomial equations, Preprint, February 2001.
    • (2001)
    • Mourrain, B.1
  • 12
    • 0031703635 scopus 로고    scopus 로고
    • Maximally flat lowpass FIR filters with reduced delay
    • I. Selesnick, C.S. Burrus, Maximally flat lowpass FIR filters with reduced delay, IEEE Trans. Circuits Systems II 45 (1) (1998) 53-68.
    • (1998) IEEE Trans. Circuits Systems II , vol.45 , Issue.1 , pp. 53-68
    • Selesnick, I.1    Burrus, C.S.2
  • 13
    • 0000247930 scopus 로고
    • Sparse elimination theory
    • D. Eisenbud, L. Robbiano (Eds.), Cambridge Univ. Press, Cambridge, UK
    • B. Sturmfels, Sparse elimination theory, in: D. Eisenbud, L. Robbiano (Eds.), Computational Algebraic Geometry and Commutative Algebra, Cambridge Univ. Press, Cambridge, UK, 1993, pp. 264-298.
    • (1993) Computational Algebraic Geometry and Commutative Algebra , pp. 264-298
    • Sturmfels, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.