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Volumn 20, Issue 1, 2009, Pages 3-24

Multidimensional perfect reconstruction filter banks: An approach of algebraic geometry

Author keywords

Common zeros; Factorization; Filter banks; Groebner basis; Lifting scheme; Linear phase; Perfect reconstruction; Resultant

Indexed keywords

FACTORIZATION; GEOMETRY; IMAGE COMPRESSION; RESTORATION; SIGNAL FILTERING AND PREDICTION;

EID: 60849108340     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11045-008-0060-5     Document Type: Article
Times cited : (8)

References (30)
  • 2
    • 0032209984 scopus 로고    scopus 로고
    • Multi-dimensional filter banks and wavelets-a system theoretic perspective
    • 8
    • S. Basu 1998 Multi-dimensional filter banks and wavelets-a system theoretic perspective Journal of the Franklin Institute 335 8 1367 1409
    • (1998) Journal of the Franklin Institute , vol.335 , pp. 1367-1409
    • Basu, S.1
  • 12
    • 0028996680 scopus 로고
    • Groebner basis techniques in multidimensional multirate systems
    • T. Kalker H. Park M. Vetterli 1995 Groebner basis techniques in multidimensional multirate systems Proceeding, ICASSP 4 2121 2124
    • (1995) Proceeding, ICASSP , vol.4 , pp. 2121-2124
    • Kalker, T.1    Park, H.2    Vetterli, M.3
  • 13
    • 0025448204 scopus 로고
    • Theory of Two-dimensional Multirate Filter Banks
    • 6
    • G. Karlsson M. Vetterli 1990 Theory of Two-dimensional Multirate Filter Banks IEEE Transactions on ASSP 38 6 925 937
    • (1990) IEEE Transactions on ASSP , vol.38 , pp. 925-937
    • Karlsson, G.1    Vetterli, M.2
  • 15
    • 0028583926 scopus 로고
    • On McClellan transform and 2-D QMF banks
    • K. Kurosawa 1994 On McClellan transform and 2-D QMF banks Proceeding, ISCAS 2 505 508
    • (1994) Proceeding, ISCAS , vol.2 , pp. 505-508
    • Kurosawa, K.1
  • 16
    • 4644288218 scopus 로고    scopus 로고
    • Appliation of Gröbner bases to signals and image processing: A survey
    • Z. Lin L. Xu Q. Wu 2004 Appliation of Gröbner bases to signals and image processing: A survey Linear algebra and its application 391 169 202
    • (2004) Linear Algebra and Its Application , vol.391 , pp. 169-202
    • Lin, Z.1    Xu, L.2    Wu, Q.3
  • 17
    • 42949122508 scopus 로고    scopus 로고
    • A tutorial on Gröbner bases with applications in signals and systems (Invited paper)
    • 1
    • Z. Lin L. Xu N.K. Bose 2008 A tutorial on Gröbner bases with applications in signals and systems (Invited paper) IEEE Transactions on Circuits and Systems I 55 1 445 461
    • (2008) IEEE Transactions on Circuits and Systems i , vol.55 , pp. 445-461
    • Lin, Z.1    Xu, L.2    Bose, N.K.3
  • 20
    • 0024663386 scopus 로고
    • Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters
    • 5
    • T.Q. Nguyen P.P. Vaidyanathan 1989 Two-channel perfect-reconstruction FIR QMF structures which yield linear-phase analysis and synthesis filters IEEE Transactions on ASSP 37 5 676 690
    • (1989) IEEE Transactions on ASSP , vol.37 , pp. 676-690
    • Nguyen, T.Q.1    Vaidyanathan, P.P.2
  • 21
    • 0035385773 scopus 로고    scopus 로고
    • Parametrized family of 2-D non-factorable FIR lossless systems and Gröbner bases
    • 3-4
    • H. Park 2001 Parametrized family of 2-D non-factorable FIR lossless systems and Gröbner bases Multidimensional Systems and Signal Processing 12 3-4 345 364
    • (2001) Multidimensional Systems and Signal Processing , vol.12 , pp. 345-364
    • Park, H.1
  • 22
    • 0036601293 scopus 로고    scopus 로고
    • Optimal design of synthesis filters in multidimensional perfectreconstruction FIR filter banks using Grobner bases
    • 6
    • H. Park 2002 Optimal design of synthesis filters in multidimensional perfectreconstruction FIR filter banks using Grobner bases IEEE Transactions on Circuits and Systems I: Regular Papers 49 6 843 851
    • (2002) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.49 , pp. 843-851
    • Park, H.1
  • 25
    • 0025899887 scopus 로고
    • The analysis and design of multidimensional FIR perfectreconstruction filter banks for arbitrary sampling lattices
    • 1
    • E. Viscito J.P. Allebach 1991 The analysis and design of multidimensional FIR perfectreconstruction filter banks for arbitrary sampling lattices IEEE Transactions on Circuits and Systems 38 1 29 41
    • (1991) IEEE Transactions on Circuits and Systems , vol.38 , pp. 29-41
    • Viscito, E.1    Allebach, J.P.2
  • 26
    • 0031258821 scopus 로고    scopus 로고
    • Loss of perfect reconstruction in multidimensional filterbanks and wavelets designed via extended McClellan transformations
    • 10
    • D. Wei B.L. Evans A.C. Bovik 1997 Loss of perfect reconstruction in multidimensional filterbanks and wavelets designed via extended McClellan transformations IEEE Singal Processing Letter 4 10 295 297
    • (1997) IEEE Singal Processing Letter , vol.4 , pp. 295-297
    • Wei, D.1    Evans, B.L.2    Bovik, A.C.3
  • 27
    • 33646757910 scopus 로고    scopus 로고
    • Structurally linear phase factorization of 2-channel filter banks based on lifting
    • L. Zhang A. Makur 2005 Structurally linear phase factorization of 2-channel filter banks based on lifting Proceeding, ICASSP 4 609 612
    • (2005) Proceeding, ICASSP , vol.4 , pp. 609-612
    • Zhang, L.1    Makur, A.2
  • 28
    • 33845646416 scopus 로고    scopus 로고
    • Comments on 'multi-dimensional filter banks and wavelets-A system theoretic perspective'
    • 7
    • L. Zhang A. Makur 2006 Comments on 'multi-dimensional filter banks and wavelets-A system theoretic perspective' Journal of the Franklin Institute 343 7 699 704
    • (2006) Journal of the Franklin Institute , vol.343 , pp. 699-704
    • Zhang, L.1    Makur, A.2
  • 29
    • 33646757910 scopus 로고    scopus 로고
    • Structurally linear phase factorization of 2-channel filter banks based on lifting
    • Zhang, L., & Makur, A. (2005). Structurally linear phase factorization of 2-channel filter banks based on lifting. Proceeding, ICASSP, 4, 609-612.
    • (2005) Proceeding, ICASSP , vol.4 , pp. 609-612
    • Zhang, L.1    Makur, A.2
  • 30
    • 33749174108 scopus 로고    scopus 로고
    • Multidimensional multichannel FIR deconvolution using Gröbner bases
    • 10
    • J. Zhou M.N. Do 2006 Multidimensional multichannel FIR deconvolution using Gröbner bases IEEE. Transactions on Image Processing 15 10 2998 3007
    • (2006) IEEE. Transactions on Image Processing , vol.15 , pp. 2998-3007
    • Zhou, J.1    Do, M.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.