메뉴 건너뛰기




Volumn 55, Issue 9, 2007, Pages 4511-4522

Robust wideband beamforming by the hybrid steepest descent method

Author keywords

Convex feasibility problems; Fixed point theory; Hybrid steepest descent method; Wideband beamforming

Indexed keywords

COST FUNCTIONS; SET THEORY; SMART ANTENNAS;

EID: 34548252441     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.896252     Document Type: Article
Times cited : (96)

References (41)
  • 4
    • 0036728592 scopus 로고    scopus 로고
    • Wideband smart antenna theory using rectangular array structures
    • Sep
    • M. Ghavami, "Wideband smart antenna theory using rectangular array structures," IEEE Trans. Signal Process., vol. 50, no. 9, pp. 2143-2151, Sep. 2002.
    • (2002) IEEE Trans. Signal Process , vol.50 , Issue.9 , pp. 2143-2151
    • Ghavami, M.1
  • 5
    • 0026630618 scopus 로고
    • Microstrip antennas
    • Jan
    • D. M. Pozar, "Microstrip antennas," Proc. IEEE, vol. 80, no. 1, pp. 79-91, Jan. 1992.
    • (1992) Proc. IEEE , vol.80 , Issue.1 , pp. 79-91
    • Pozar, D.M.1
  • 6
    • 11144256555 scopus 로고    scopus 로고
    • Wide-band smart antenna design using vector space projection methods
    • Dec
    • J. Gu, H. Stark, and Y. Yang, "Wide-band smart antenna design using vector space projection methods," IEEE Trans. Antennas Propag., vol. 52, no. 12, pp. 3228-3236, Dec. 2004.
    • (2004) IEEE Trans. Antennas Propag , vol.52 , Issue.12 , pp. 3228-3236
    • Gu, J.1    Stark, H.2    Yang, Y.3
  • 7
    • 0031101492 scopus 로고    scopus 로고
    • Antenna array pattern synthesis via convex optimization
    • Mar
    • H. Lebret and S. Boyd, "Antenna array pattern synthesis via convex optimization," IEEE Trans. Signal Process., vol. 45, no. 3, pp. 526-532, Mar. 1997.
    • (1997) IEEE Trans. Signal Process , vol.45 , Issue.3 , pp. 526-532
    • Lebret, H.1    Boyd, S.2
  • 8
    • 0037304809 scopus 로고    scopus 로고
    • Robust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem
    • Feb
    • S. A. Vorobyov, A. B. Gershman, and Z.-Q. Luo, "Robust adaptive beamforming using worst-case performance optimization: A solution to the signal mismatch problem," IEEE Trans. Signal Process., vol. 51, no. 2, pp. 313-324, Feb. 2003.
    • (2003) IEEE Trans. Signal Process , vol.51 , Issue.2 , pp. 313-324
    • Vorobyov, S.A.1    Gershman, A.B.2    Luo, Z.-Q.3
  • 9
    • 0038036818 scopus 로고    scopus 로고
    • On robust Capon beamforming and diagonal loading
    • Jul
    • J. Li, P. Stoica, and Z. Wang, "On robust Capon beamforming and diagonal loading," IEEE Trans. Signal Process., vol. 51, no. 7, pp. 1702-1715, Jul. 2003.
    • (2003) IEEE Trans. Signal Process , vol.51 , Issue.7 , pp. 1702-1715
    • Li, J.1    Stoica, P.2    Wang, Z.3
  • 10
    • 18844410304 scopus 로고    scopus 로고
    • Robust minimum variance beam-forming
    • May
    • R. G. Lorenz and S. P. Boyd, "Robust minimum variance beam-forming," IEEE Trans. Signal Process., vol. 53, no. 5, pp. 1684-1696, May 2005.
    • (2005) IEEE Trans. Signal Process , vol.53 , Issue.5 , pp. 1684-1696
    • Lorenz, R.G.1    Boyd, S.P.2
  • 14
    • 0001336448 scopus 로고
    • The method of successive projections for finding a common point of convex sets
    • L. M. Bregman, "The method of successive projections for finding a common point of convex sets," Soviet Math. Dokl., vol. 6, pp. 688-692, 1965.
    • (1965) Soviet Math. Dokl , vol.6 , pp. 688-692
    • Bregman, L.M.1
  • 15
    • 33845708830 scopus 로고
    • The method of projections for finding the common point of convex sets
    • L. G. Gubin, B. T. Polyak, and E. V. Raik, "The method of projections for finding the common point of convex sets," USSR Comput. Math. Phys., vol. 7, pp. 1-24, 1967.
    • (1967) USSR Comput. Math. Phys , vol.7 , pp. 1-24
    • Gubin, L.G.1    Polyak, B.T.2    Raik, E.V.3
  • 16
    • 0027541192 scopus 로고
    • The foundations of set theoretic estimation
    • P. L. Combettes, "The foundations of set theoretic estimation," Proc. IEEE, vol. 81, no. 2, pp. 182-208, 1993.
    • (1993) Proc. IEEE , vol.81 , Issue.2 , pp. 182-208
    • Combettes, P.L.1
  • 17
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • Sep
    • H. H. Bauschke and J. M. Borwein, "On projection algorithms for solving convex feasibility problems," SIAM Rev., vol. 38, no. 3, pp. 367-426, Sep. 1996.
    • (1996) SIAM Rev , vol.38 , Issue.3 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 19
    • 0041910966 scopus 로고    scopus 로고
    • Robust adaptive beamforming for general-rank signal models
    • Sep
    • S. Shahbazpanahi, A. B. Gershman, Z.-Q. Luo, and K. M. Wong, "Robust adaptive beamforming for general-rank signal models," IEEE Trans. Signal Process., vol. 51, no. 9, pp. 2257-2269, Sep. 2003.
    • (2003) IEEE Trans. Signal Process , vol.51 , Issue.9 , pp. 2257-2269
    • Shahbazpanahi, S.1    Gershman, A.B.2    Luo, Z.-Q.3    Wong, K.M.4
  • 20
    • 0003254248 scopus 로고
    • Interior-Point Polynomial Methods in Convex Programming
    • Philadelphia, PA: SIAM
    • Y. Nesterov and A. Nemirovsky, Interior-Point Polynomial Methods in Convex Programming, ser. Studies in Applied Mathematics. Philadelphia, PA: SIAM, 1994, vol. 13.
    • (1994) ser. Studies in Applied Mathematics , vol.13
    • Nesterov, Y.1    Nemirovsky, A.2
  • 22
    • 0041940559 scopus 로고    scopus 로고
    • Applications of second-order cone programming
    • Nov
    • M. S. Lobo, L. Vandenberghe, S. Boyd, and H. Lebret, "Applications of second-order cone programming," Linear Algebra Appl., vol. 284, no. 1-3, pp. 193-228, Nov. 1998.
    • (1998) Linear Algebra Appl , vol.284 , Issue.1-3 , pp. 193-228
    • Lobo, M.S.1    Vandenberghe, L.2    Boyd, S.3    Lebret, H.4
  • 23
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, A MATLAB toolbox for optimization over symmetric cones
    • Aug
    • J. F. Sturm, "Using SeDuMi 1.02, A MATLAB toolbox for optimization over symmetric cones," Optim. Meth. Softw., vol. 11-12, pp. 625-653, Aug. 1999.
    • (1999) Optim. Meth. Softw , vol.11-12 , pp. 625-653
    • Sturm, J.F.1
  • 24
    • 33747271945 scopus 로고    scopus 로고
    • An introduction to convex optimization for communications and signal processing
    • Aug
    • Z.-Q. Luo and W. Yu, "An introduction to convex optimization for communications and signal processing," IEEE J. Sel. Areas Commun. vol. 24, no. 8, pp. 1426-1438, Aug. 2006.
    • (2006) IEEE J. Sel. Areas Commun , vol.24 , Issue.8 , pp. 1426-1438
    • Luo, Z.-Q.1    Yu, W.2
  • 25
    • 0003199612 scopus 로고
    • Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings
    • New York: Marcel Dekker
    • K. Goebel and S. Reich, Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings, ser. Pure and Applied Math. New York: Marcel Dekker, 1984, vol. 83.
    • (1984) ser. Pure and Applied Math , vol.83
    • Goebel, K.1    Reich, S.2
  • 26
    • 77956693893 scopus 로고    scopus 로고
    • The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
    • D. Butnariu, Y. Censor, and S. Reich, Eds. Amsterdam, The Netherlands: Elsevier
    • I. Yamada, "The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings," in Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications, D. Butnariu, Y. Censor, and S. Reich, Eds. Amsterdam, The Netherlands: Elsevier, 2001, pp. 473-504.
    • (2001) Inherently Parallel Algorithms in Feasibility and Optimization and Their Applications , pp. 473-504
    • Yamada, I.1
  • 27
    • 11144241645 scopus 로고    scopus 로고
    • Hybrid steepest descent method for variational inequality problem over the fixed point set of certain quasi-non-expansive mappings
    • I. Yamada and N. Ogura, "Hybrid steepest descent method for variational inequality problem over the fixed point set of certain quasi-non-expansive mappings," Numer. Funct. Anal. Optim., vol. 25, no. 7&8, pp. 619-655, 2004.
    • (2004) Numer. Funct. Anal. Optim , vol.25 , Issue.7-8 , pp. 619-655
    • Yamada, I.1    Ogura, N.2
  • 28
    • 0003741554 scopus 로고
    • Introductory Functional Analysis with Applications
    • New York: Wiley
    • E. Kreyszig, Introductory Functional Analysis with Applications, ser. Wiley Classics Library. New York: Wiley, 1989.
    • (1989) ser. Wiley Classics Library
    • Kreyszig, E.1
  • 29
    • 0003851536 scopus 로고    scopus 로고
    • Projection algorithms and monotone operators,
    • Ph.D. dissertation, Math. and Statist. Dept, Simon Fraser University, Burnaby, BC, Canada
    • H. H. Bauschke, "Projection algorithms and monotone operators," Ph.D. dissertation, Math. and Statist. Dept., Simon Fraser University, Burnaby, BC, Canada, 1996.
    • (1996)
    • Bauschke, H.H.1
  • 30
    • 2042504393 scopus 로고    scopus 로고
    • An alternating projection that does not converge in norm
    • H. S. Hundal, "An alternating projection that does not converge in norm," Nonlin. Anal., vol. 57, pp. 35-61, 2004.
    • (2004) Nonlin. Anal , vol.57 , pp. 35-61
    • Hundal, H.S.1
  • 34
    • 34548256779 scopus 로고    scopus 로고
    • K. Fujisawa, M. Kojima, and K. Nakata, SDPA (Semidefinite Programming Algorithm) - User's manual, Dept. Mathematical and Computing Sciences, Tokyo Institute of Technology, Tech. Rep. B-308, Dec. 1995 [Online]. Available: Ftp://ftp.is.titech.ac.jp/pub/OpRes/software/SDPA
    • K. Fujisawa, M. Kojima, and K. Nakata, "SDPA (Semidefinite Programming Algorithm) - User's manual," Dept. Mathematical and Computing Sciences, Tokyo Institute of Technology, Tech. Rep. B-308, Dec. 1995 [Online]. Available: Ftp://ftp.is.titech.ac.jp/pub/OpRes/software/SDPA
  • 35
    • 0000419029 scopus 로고    scopus 로고
    • Numerical evaluation of SDPA (semidefinite programming algorithm)
    • Norwell, MA: Kluwer, ch. 11, pp
    • K. Fujisawa, M. Fukuda, M. Kojima, and K. Nakata, "Numerical evaluation of SDPA (semidefinite programming algorithm)," in High Performance Optimization. Norwell, MA: Kluwer, 2000, ch. 11, pp. 267-301.
    • (2000) High Performance Optimization , pp. 267-301
    • Fujisawa, K.1    Fukuda, M.2    Kojima, M.3    Nakata, K.4
  • 36
    • 33947677311 scopus 로고    scopus 로고
    • Efficient robust adaptive beamforming by the adaptive projected subgradient method: A set theoretic time-varying approach over multiple a-priori constraints
    • Tech. Rep. SIP2005-52, Jul. 2005, IEICE, WBS2005-10, 2005-07
    • K. Slavakis, M. Yukawa, and I. Yamada, "Efficient robust adaptive beamforming by the adaptive projected subgradient method: A set theoretic time-varying approach over multiple a-priori constraints," Tech. Rep. SIP2005-52, Jul. 2005, IEICE, WBS2005-10, 2005-07.
    • Slavakis, K.1    Yukawa, M.2    Yamada, I.3
  • 37
    • 34547495662 scopus 로고    scopus 로고
    • The adaptive projected subgradient method over the fixed point set of strongly attracting nonexpansive mappings
    • K. Slavakis, I. Yamada, and N. Ogura, "The adaptive projected subgradient method over the fixed point set of strongly attracting nonexpansive mappings," Numer. Funct. Anal. Optim., vol. 27, no. 7&8, pp. 905-930, 2006.
    • (2006) Numer. Funct. Anal. Optim , vol.27 , Issue.7-8 , pp. 905-930
    • Slavakis, K.1    Yamada, I.2    Ogura, N.3
  • 38
    • 0032002260 scopus 로고    scopus 로고
    • Quadratic optimization of fixed points of nonexpansive mappings in Hilbert space
    • I. Yamada, N. Ogura, Y. Yamashita, and K. Sakaniwa, "Quadratic optimization of fixed points of nonexpansive mappings in Hilbert space," Numer. Funct. Anal. Optim., vol. 19, pp. 165-190, 1998.
    • (1998) Numer. Funct. Anal. Optim , vol.19 , pp. 165-190
    • Yamada, I.1    Ogura, N.2    Yamashita, Y.3    Sakaniwa, K.4
  • 39
    • 0032653272 scopus 로고    scopus 로고
    • Hard-constrained inconsistent signal feasibility problem
    • Sep
    • P. L. Combettes and P. Bondon, "Hard-constrained inconsistent signal feasibility problem," IEEE Trans. Signal Process., vol. 47, no. 9, pp. 2460-2468, Sep. 1999.
    • (1999) IEEE Trans. Signal Process , vol.47 , Issue.9 , pp. 2460-2468
    • Combettes, P.L.1    Bondon, P.2
  • 40
    • 0344512422 scopus 로고    scopus 로고
    • Convergence of hybrid steepest descent methods for variational inequalities
    • H. K. Xu and T. H. Kim, "Convergence of hybrid steepest descent methods for variational inequalities," J. Optim. Theory Appl., vol. 119, no. 1, pp. 185-201, 2003.
    • (2003) J. Optim. Theory Appl , vol.119 , Issue.1 , pp. 185-201
    • Xu, H.K.1    Kim, T.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.