메뉴 건너뛰기




Volumn 56, Issue 9, 2008, Pages 4255-4262

SDP approximation of a fractional delay and the design of dual-tree complex wavelet transform

Author keywords

Bounded real lemma; Dual tree wavelet; Fractional delay; Hilbert pair; Semidefinite programming (SDP)

Indexed keywords

BOUNDED REAL LEMMA; DUAL-TREE WAVELET; FRACTIONAL DELAY; HILBERT PAIR; SEMIDEFINITE PROGRAMMING (SDP);

EID: 65449121151     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2008.924134     Document Type: Article
Times cited : (13)

References (21)
  • 1
    • 46649112838 scopus 로고    scopus 로고
    • Design of Hilbert transform pairs of wavelet bases via LMI optimization
    • Kyoto, Japan
    • R. Yu and A. Baradarani, "Design of Hilbert transform pairs of wavelet bases via LMI optimization," in Proc. 17th Int. Symp. Math. Theory Networks Systems, Kyoto, Japan, 2006, pp. 1793-1796.
    • (2006) Proc. 17th Int. Symp. Math. Theory Networks Systems , pp. 1793-1796
    • Yu, R.1    Baradarani, A.2
  • 2
    • 34249796390 scopus 로고    scopus 로고
    • Characterization and sampled-data design of dual-tree filter banks for Hilbert transform pairs of wavelet bases
    • Jun
    • R. Yu, "Characterization and sampled-data design of dual-tree filter banks for Hilbert transform pairs of wavelet bases," IEEE Trans. Signal Process., vol. 55, no. 6, pp. 2458-2471, Jun. 2007.
    • (2007) IEEE Trans. Signal Process , vol.55 , Issue.6 , pp. 2458-2471
    • Yu, R.1
  • 3
    • 0035331869 scopus 로고    scopus 로고
    • Complex wavelets for shift invariant analysis and filtering of signals
    • May
    • N. G. Kingsbury, "Complex wavelets for shift invariant analysis and filtering of signals," J. Appl. Comput. Harmon. Anal., vol. 10, no. 3, pp. 234-253, May 2001.
    • (2001) J. Appl. Comput. Harmon. Anal , vol.10 , Issue.3 , pp. 234-253
    • Kingsbury, N.G.1
  • 5
    • 0035369170 scopus 로고    scopus 로고
    • Hilbert transform pairs of wavelet bases
    • Jun
    • I. W. Selesnick, "Hilbert transform pairs of wavelet bases," IEEE Signal Process. Lett., vol. 8, no. 6, pp. 170-173, Jun. 2001.
    • (2001) IEEE Signal Process. Lett , vol.8 , Issue.6 , pp. 170-173
    • Selesnick, I.W.1
  • 6
    • 29144510465 scopus 로고    scopus 로고
    • Hilbert transform pairs of orthogonal wavelet bases: Necessary and sufficient conditions
    • Dec
    • R. Yu and H. Ozkaramanli, "Hilbert transform pairs of orthogonal wavelet bases: Necessary and sufficient conditions," IEEE Trans. Signal Process., vol. 53, no. 12, pp. 4723-4725, Dec. 2005.
    • (2005) IEEE Trans. Signal Process , vol.53 , Issue.12 , pp. 4723-4725
    • Yu, R.1    Ozkaramanli, H.2
  • 7
    • 0036571110 scopus 로고    scopus 로고
    • The design of approximate Hilbert transform pairs of wavelet bases
    • May
    • I. W. Selesnick, "The design of approximate Hilbert transform pairs of wavelet bases," IEEE Trans. Signal Process., vol. 50, no. 5, pp. 1144-1152, May 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.5 , pp. 1144-1152
    • Selesnick, I.W.1
  • 8
    • 0344666523 scopus 로고    scopus 로고
    • Design of Q-shift complex wavelets for image processing using frequency domain energy minimization
    • N. Kingsbury, "Design of Q-shift complex wavelets for image processing using frequency domain energy minimization," in Proc. IEEE Int. Conf. Image Processing, 2003, vol. 1, pp. 1013-1016.
    • (2003) Proc. IEEE Int. Conf. Image Processing , vol.1 , pp. 1013-1016
    • Kingsbury, N.1
  • 10
    • 1542378182 scopus 로고    scopus 로고
    • Optimal design of fractional delay filters
    • Maui, HI
    • M. Nagahara and Y. Yamamoto, "Optimal design of fractional delay filters," in Proc. 42nd IEEE Conf. Decision Control, Maui, HI, 2003, vol. 6, pp. 6539-6544.
    • (2003) Proc. 42nd IEEE Conf. Decision Control , vol.6 , pp. 6539-6544
    • Nagahara, M.1    Yamamoto, Y.2
  • 12
    • 23044523312 scopus 로고    scopus 로고
    • Polynomials that are positive on an interval
    • V. Powers and B. Reznick, "Polynomials that are positive on an interval," Trans. Amer. Math. Soc., vol. 352, pp. 4677-4692, 2000.
    • (2000) Trans. Amer. Math. Soc , vol.352 , pp. 4677-4692
    • Powers, V.1    Reznick, B.2
  • 13
    • 0036842590 scopus 로고    scopus 로고
    • Linear matrix inequality formulation of spectral mask constraints with applications to FIR filter design
    • Nov
    • T. N. Davidson, Z. Q. Luo, and J. F. Sturm, "Linear matrix inequality formulation of spectral mask constraints with applications to FIR filter design," IEEE Trans. Signal Process., vol. 50, no. 11, pp. 2702-2715, Nov. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.11 , pp. 2702-2715
    • Davidson, T.N.1    Luo, Z.Q.2    Sturm, J.F.3
  • 14
    • 0012688640 scopus 로고    scopus 로고
    • Convex optimization problems involving finite autocorrelation sequences
    • Dec
    • B. Alkire and L. Vandenberghe, "Convex optimization problems involving finite autocorrelation sequences," Math. Progr. Ser. A, vol. 93, no. 3, pp. 331-359, Dec. 2002.
    • (2002) Math. Progr. Ser. A , vol.93 , Issue.3 , pp. 331-359
    • Alkire, B.1    Vandenberghe, L.2
  • 15
    • 0035503003 scopus 로고    scopus 로고
    • On the parameterization of positive real sequences and MA parameter estimation
    • Nov
    • B. Dumitrescu, I. Tčabuş, and P. Stoica, "On the parameterization of positive real sequences and MA parameter estimation," IEEE Trans. Signal Process., vol. 49, no. 11, pp. 2630-2639, Nov. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.11 , pp. 2630-2639
    • Dumitrescu, B.1    Tčabuş, I.2    Stoica, P.3
  • 16
    • 1342310017 scopus 로고    scopus 로고
    • Optimization problems over positive pseudopolynomial matrices
    • Jan
    • Y. Genin, Y. Hachez, Y. Nesterov, and P. Van Dooren, "Optimization problems over positive pseudopolynomial matrices," SIAM J. Matrix Anal. Appl., vol. 25, no. 1, pp. 57-79, Jan. 2003.
    • (2003) SIAM J. Matrix Anal. Appl , vol.25 , Issue.1 , pp. 57-79
    • Genin, Y.1    Hachez, Y.2    Nesterov, Y.3    Van Dooren, P.4
  • 17
    • 0029270767 scopus 로고
    • Complex chebyshev approximation for FIR filter design
    • Mar
    • L. J. Karam and J. H. McClellan, "Complex chebyshev approximation for FIR filter design," IEEE Trans. Circuits Syst. II, vol. 42, no. 3, pp. 207-216, Mar. 1995.
    • (1995) IEEE Trans. Circuits Syst. II , vol.42 , Issue.3 , pp. 207-216
    • Karam, L.J.1    McClellan, J.H.2
  • 18
    • 0029386348 scopus 로고
    • The design of FIR filters in the complex plane by convex optimization
    • A. Potchinkov and R. Reemtsen, "The design of FIR filters in the complex plane by convex optimization," Signal Process., vol. 46, pp. 127-146, 1995.
    • (1995) Signal Process , vol.46 , pp. 127-146
    • Potchinkov, A.1    Reemtsen, R.2
  • 19
    • 33747784590 scopus 로고    scopus 로고
    • Orthonormal Hilbert-pair of wavelets with (almost) maximum vanishing moments
    • Sep
    • D. B. H. Tay, N. G. Kingsbury, and M. Palaniswami, "Orthonormal Hilbert-pair of wavelets with (almost) maximum vanishing moments," IEEE Signal Process. Lett., vol. 13, no. 9, pp. 533-536, Sep. 2006.
    • (2006) IEEE Signal Process. Lett , vol.13 , Issue.9 , pp. 533-536
    • Tay, D.B.H.1    Kingsbury, N.G.2    Palaniswami, M.3
  • 20
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones
    • Online, Available
    • J. F. Sturm, "Using SeDuMi 1.02, a Matlab toolbox for optimization over symmetric cones," Optimiz. Methods Softw. vol. 11, pp. 625-653, 1999 [Online]. Available: http://www.sedumi.mcmaster.ca
    • (1999) Optimiz. Methods Softw , vol.11 , pp. 625-653
    • Sturm, J.F.1
  • 21
    • 0038538414 scopus 로고    scopus 로고
    • The phaselet transform - An integral redundancy nearly shift-invariant wavelet transform
    • Jul
    • R. A. Gopinath, "The phaselet transform - An integral redundancy nearly shift-invariant wavelet transform," IEEE Trans. Signal Process., vol. 51, no. 7, pp. 1792-1805, Jul. 2003.
    • (2003) IEEE Trans. Signal Process , vol.51 , Issue.7 , pp. 1792-1805
    • Gopinath, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.