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Volumn 53, Issue 8, 2005, Pages 2748-2764

Capon Algorithm Mean-Squared Error Threshold SNR Prediction and Probability of Resolution

Author keywords

Adaptive; Bartlett; beamformer; Capon; complex Wishart; direction of arrival (DOA); DOA estimation; finite sample; mean squared error (MSE); mismatch; probability of resolution; resolution; sensitivity; threshold; threshold signal to noise ratio (SNR); Wishart

Indexed keywords


EID: 33646065413     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/TSP.2005.850361     Document Type: Article
Times cited : (70)

References (51)
  • 1
    • 0037629656 scopus 로고    scopus 로고
    • Threshold region performance of deterministic maximum likelihood DOA estimation of multiple sources
    • Nov.
    • F. Athley, “Threshold region performance of deterministic maximum likelihood DOA estimation of multiple sources,” in Proc. 36th Asilomar Conf. Signals, Systems, Computers, vol. 2, Nov. 2002, pp. 1283–1287.
    • (2002) Proc. 36th Asilomar Conf. Signals, Systems, Computers , vol.2 , pp. 1283
    • Athley, F.1
  • 2
    • 4143061122 scopus 로고    scopus 로고
    • Space time parameter estimation in radar array processing
    • Ph.D. dissertation Dept. Signals and Systems, Chalmers Univ. Technol. Gothenburg, Sweden Jun.
    • F. Athley, “Space time parameter estimation in radar array processing,” Ph.D. dissertation, Dept. Signals and Systems, Chalmers Univ. Technol., Gothenburg, Sweden, Jun. 2003.
    • (2003)
    • Athley, F.1
  • 4
    • 0030685367 scopus 로고    scopus 로고
    • Expurgating the union bound to error probability: a generalization of the Verdu-shields theorem
    • Jun.-Jul.
    • E. Biglieri, G. Caire, and G. Taricco, “Expurgating the union bound to error probability: a generalization of the Verdu-shields theorem,” in Proc. IEEE Int. Symp. Information Theory, Jun.-Jul. 1997, p. 373.
    • (1997) Proc. IEEE Int. Symp. Information Theory , pp. 373
    • Biglieri, E.1    Caire, G.2    Taricco, G.3
  • 5
    • 0002344910 scopus 로고
    • Array Processing
    • S. Haykin, Ed. Upper Saddle River, NJ: Prentice-Hall ch. 1
    • J. F. Bohme, “Array Processing,” in Advances in Spectrum Analysis and Array Processing, S. Haykin, Ed. Upper Saddle River, NJ: Prentice-Hall, 1991, vol. II, ch. 1.
    • (1991) Advances in Spectrum Analysis and Array Processing , vol.2
    • Bohme, J.F.1
  • 6
    • 0348077412 scopus 로고    scopus 로고
    • Nonasymptotic statistical performance of beamforming for deterministic signals
    • Jan.
    • E. Boyer, P. Forster, and P. Larzabal, “Nonasymptotic statistical performance of beamforming for deterministic signals,” IEEE Signal Process. Lett., vol. 11, no. 1, pp. 20–22, Jan. 2004.
    • (2004) IEEE Signal Process. Lett. , vol.11 , Issue.1 , pp. 20-22
    • Boyer, E.1    Forster, P.2    Larzabal, P.3
  • 7
    • 0346055223 scopus 로고    scopus 로고
    • Nonasymptotic performance analysis of beamforming with stochastic signals
    • Jan.
    • E. Boyer, P. Forster, and P. Larzabal, “Nonasymptotic performance analysis of beamforming with stochastic signals,” IEEE Signal Process. Lett., vol. 11, no. 1, pp. 23–25, Jan. 2004.
    • (2004) IEEE Signal Process. Lett. , vol.11 , Issue.1 , pp. 23-25
    • Boyer, E.1    Forster, P.2    Larzabal, P.3
  • 8
    • 0014642808 scopus 로고
    • High-resolution frequency-wavenumber spectrum analysis
    • Aug.
    • J. Capon, “High-resolution frequency-wavenumber spectrum analysis,” Proc. IEEE, vol. 57, no. 8, pp. 1408–1418, Aug. 1969.
    • (1969) Proc. IEEE , vol.57 , Issue.8 , pp. 1408-1418
    • Capon, J.1
  • 9
    • 0014925856 scopus 로고
    • Probability distributions for estimators of frequency wavenumber spectrum
    • Oct.
    • J. Capon and N. R. Goodman, “Probability distributions for estimators of frequency wavenumber spectrum,” Proc. IEEE, vol. 58, no. 10, pp. 1785–1786, Oct. 1970.
    • (1970) Proc. IEEE , vol.58 , Issue.10 , pp. 1785-1786
    • Capon, J.1    Goodman, N.R.2
  • 10
    • 0015852223 scopus 로고
    • Resolving power and sensitivity to mismatch of optimum array processors
    • H. Cox, “Resolving power and sensitivity to mismatch of optimum array processors,” J. Acoust. Soc. Amer., vol. 54, no. 3, pp. 771–785, 1973.
    • (1973) J. Acoust. Soc. Amer. , vol.54 , Issue.3 , pp. 771-785
    • Cox, H.1
  • 11
    • 0028467426 scopus 로고
    • The resolution threshold of a direction finding algorithm for diversely polarized arrays
    • Jul.
    • B. Friedlander and A. J. Weiss, “The resolution threshold of a direction finding algorithm for diversely polarized arrays,” IEEE Trans. Signal Process., vol. 42, no. 7, pp. 1719–1727, Jul. 1994.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.7 , pp. 1719-1727
    • Friedlander, B.1    Weiss, A.J.2
  • 12
    • 0032166497 scopus 로고    scopus 로고
    • Acoustic vector-sensor beamforming and capon direction estimation
    • Sep.
    • M. Hawkes and A. Nehorai, “Acoustic vector-sensor beamforming and capon direction estimation,” IEEE Trans. Signal Process., vol. 46, no. 9, pp. 2291–2304, Sep. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , Issue.9 , pp. 2291-2304
    • Hawkes, M.1    Nehorai, A.2
  • 13
    • 85008028406 scopus 로고    scopus 로고
    • Solving quartics and cubics for graphics [Online]. Available
    • Solving quartics and cubics for graphics, D. Herbison-Evans. [Online]. Available: http://linus.socs.uts.edu.au/~don/pubs/solving.html
    • Herbison-Evans, D.1
  • 14
    • 16344381481 scopus 로고    scopus 로고
    • High-resolution nonparametric spectral analysis: Theory and applications
    • Y. Hua, A. Gershman, and Q. Cheng, Eds. New York: Marcel-Dekker ch. 4.
    • E. G. Larsson, J. Li, and P. Stoica, “High-resolution nonparametric spectral analysis: Theory and applications,” in High-Resolution and Robust Signal Processing, Y. Hua, A. Gershman, and Q. Cheng, Eds. New York: Marcel-Dekker, 2004, ch. 4.
    • (2004) High-Resolution and Robust Signal Processing
    • Larsson, E.G.1    Li, J.2    Stoica, P.3
  • 15
    • 0034259289 scopus 로고    scopus 로고
    • Computationally efficient two-dimensional capon spectrum analysis
    • Sep.
    • A. Jakobsson, S. L. Marple, Jr., and P. Stoica, “Computationally efficient two-dimensional capon spectrum analysis,” IEEE Trans. Signal Process., vol. 48, no. 9, pp. 2651–2661, Sep. 2000.
    • (2000) IEEE Trans. Signal Process. , vol.48 , Issue.9 , pp. 2651-2661
    • Jakobsson, A.1    Marple, S.L.2    Stoica, P.3
  • 16
    • 18844392849 scopus 로고
    • Threshold properties of narrow-band signal-subspace array processing methods
    • S. Haykin, Ed. Upper Saddle River, NJ: Prentice-Hall ch. 5
    • M. Kaveh and H. Wang, “Threshold properties of narrow-band signal-subspace array processing methods,” in Advances in Spectrum Analysis and Array Processing, S. Haykin, Ed. Upper Saddle River, NJ: Prentice-Hall, 1991, vol. II, ch. 5.
    • (1991) Advances in Spectrum Analysis and Array Processing , vol.2
    • Kaveh, M.1    Wang, H.2
  • 17
    • 79957851411 scopus 로고    scopus 로고
    • Threshold region performance prediction for adaptive matched field processing localization
    • presented at the Mar. [Online] Available
    • N. Lee and C. D. Richmond, “Threshold region performance prediction for adaptive matched field processing localization,” presented at the Adaptive Sensor Array Processing Workshop, Mar. 2004. [Online] Available: http://www.ll.mit.edu/asap/asap_04/agenda04. html.
    • (2004) Adaptive Sensor Array Processing Workshop
    • Lee, N.1    Richmond, C.D.2
  • 18
    • 0030169585 scopus 로고    scopus 로고
    • An adaptive filtering approach to spectral estimation and SAR imaging
    • Jun.
    • J. Li and P. Stoica, “An adaptive filtering approach to spectral estimation and SAR imaging,” IEEE Trans. Signal Process., vol. 44, no. 6, pp. 1469–1484, Jun. 1996.
    • (1996) IEEE Trans. Signal Process. , vol.44 , Issue.6 , pp. 1469-1484
    • Li, J.1    Stoica, P.2
  • 19
    • 0020738024 scopus 로고
    • A new interpretation of Capon's maximum likelihood method of frequency-wavenumber spectral estimation
    • Apr.
    • T. L. Marzetta, “A new interpretation of Capon's maximum likelihood method of frequency-wavenumber spectral estimation,” IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-31, no. 2, pp. 445–449, Apr. 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Process. , vol.ASSP-31 , Issue.2 , pp. 445-449
    • Marzetta, T.L.1
  • 20
    • 0003558943 scopus 로고
    • Aspects of Multivariate Statistical Theory
    • New York: Wiley
    • R. J. Muirhead, Aspects of Multivariate Statistical Theory. New York: Wiley, 1982.
    • (1982)
    • Muirhead, R.J.1
  • 22
    • 0030085612 scopus 로고    scopus 로고
    • Derived PDF of maximum-likelihood signal parameter estimator which employs an estimated noise covariance
    • Feb.
    • C. D. Richmond, “Derived PDF of maximum-likelihood signal parameter estimator which employs an estimated noise covariance,” IEEE Trans. Signal Process., vol. 44, no. 2, pp. 305–315, Feb. 1996.
    • (1996) IEEE Trans. Signal Process. , vol.44 , Issue.2 , pp. 305-315
    • Richmond, C.D.1
  • 23
    • 0001447564 scopus 로고    scopus 로고
    • Performance of the adaptive sidelobe blanker detection algorithm in homogeneous environments
    • May
    • C. D. Richmond, “Performance of the adaptive sidelobe blanker detection algorithm in homogeneous environments,” IEEE Trans. Signal Process., vol. 48, no. 5, pp. 1235–1247, May 2000.
    • (2000) IEEE Trans. Signal Process. , vol.48 , Issue.5 , pp. 1235-1247
    • Richmond, C.D.1
  • 24
    • 85008036308 scopus 로고    scopus 로고
    • Mean squared error performance prediction of linearly constrained minimum variance source localization
    • Boston, MA Aug. 10
    • C. D. Richmond, B. D. Van Veen, and T. Limpiti, “Mean squared error performance prediction of linearly constrained minimum variance source localization,” in Proc. 14th Int. Conf. Biomagnetism (Biomag), Boston, MA, Aug. 10, 2004, pp. 581–582.
    • (2004) Proc. 14th Int. Conf. Biomagnetism (Biomag) , pp. 581-582
    • Richmond, C.D.1    Van Veen, B.D.2    Limpiti, T.3
  • 25
    • 85008036307 scopus 로고    scopus 로고
    • Mean squared error and threshold SNR prediction of maximum-likelihood signal parameter estimation with estimated colored noise covariances
    • to be published.
    • C. D. Richmond, “Mean squared error and threshold SNR prediction of maximum-likelihood signal parameter estimation with estimated colored noise covariances,” IEEE Trans. Inf. Theory, to be published.
    • IEEE Trans. Inf. Theory
    • Richmond, C.D.1
  • 26
    • 0016102201 scopus 로고
    • Single-tone parameter estimation from discrete-time observations
    • Sep.
    • D. C. Rife and R. R. Boorstyn, “Single-tone parameter estimation from discrete-time observations,” IEEE Trans. Inf. Theory, vol. IT-20, no. 5, pp. 591–598, Sep. 1974.
    • (1974) IEEE Trans. Inf. Theory , vol.IT-20 , Issue.5 , pp. 591-598
    • Rife, D.C.1    Boorstyn, R.R.2
  • 27
    • 0003988960 scopus 로고
    • Principles of High-Resolution Radar
    • New York: Mc-Graw-Hill
    • A. W. Rihaczek, Principles of High-Resolution Radar. New York: Mc-Graw-Hill, 1969.
    • (1969)
    • Rihaczek, A.W.1
  • 29
    • 0002056328 scopus 로고
    • Adaptive multisensor detection and estimation
    • S. Haykin and A. O. Stein-hardt, Eds. New York: Wiley ch. 3.
    • A. O. Steinhardt, “Adaptive multisensor detection and estimation,” in Adaptive Radar Detection and Estimation, S. Haykin and A. O. Stein-hardt, Eds. New York: Wiley, 1992, ch. 3.
    • (1992) Adaptive Radar Detection and Estimation
    • Steinhardt, A.O.1
  • 30
    • 0029487932 scopus 로고
    • Study of Capon method for array signal processing
    • P. Stoica, P. Handel, and T. Soderstrom, “Study of Capon method for array signal processing,” Circuits Syst. Signal Process., vol. 14, no. 6, pp. 749–770, 1995.
    • (1995) Circuits Syst. Signal Process. , vol.14 , Issue.6 , pp. 749-770
    • Stoica, P.1    Handel, P.2    Soderstrom, T.3
  • 31
    • 0029324293 scopus 로고
    • On the resolution performance of spectral analysis
    • P. Stoica, V. Simonyte, and T. Soderstrom, “On the resolution performance of spectral analysis,” Signal Process., vol. 44, pp. 153-161,1995.
    • (1995) Signal Process. , vol.44 , pp. 153-161
    • Stoica, P.1    Simonyte, V.2    Soderstrom, T.3
  • 32
    • 0004197863 scopus 로고    scopus 로고
    • Introduction to Spectral Analysis
    • Upper Saddle River, NJ: Prentice-Hall
    • P. Stoica and R. Moses, Introduction to Spectral Analysis. Upper Saddle River, NJ: Prentice-Hall, 1997.
    • (1997)
    • Stoica, P.1    Moses, R.2
  • 33
    • 0029277626 scopus 로고
    • The probability of a subspace swap in the SVD
    • Mar.
    • J. K. Thomas, L. L. Scharf, and D. W. Tufts, “The probability of a subspace swap in the SVD,” IEEE Trans. Signal Process., vol. 43, no. 5, pp. 730–736, Mar. 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.5 , pp. 730-736
    • Thomas, J.K.1    Scharf, L.L.2    Tufts, D.W.3
  • 35
    • 0003898681 scopus 로고
    • The threshold effect in signal processing algorithms which use an estimated subspace
    • R. J. Vaccaro, Ed. New York: Elsevier ch. 19.
    • D. W. Tufts, A. C. Kot, and R. J. Vaccaro, “The threshold effect in signal processing algorithms which use an estimated subspace,” in SVD and Signal Processing, H: Algorithms, Analysis, and Applications, R. J. Vaccaro, Ed. New York: Elsevier, 1991, ch. 19.
    • (1991) SVD and Signal Processing, H: Algorithms, Analysis, and Applications
    • Tufts, D.W.1    Kot, A.C.2    Vaccaro, R.J.3
  • 36
    • 0004099713 scopus 로고
    • 5th ed. London, U.K.: Oliver and Boyd
    • H. W. Turnbull, Theory of Equations, 5th ed. London, U.K.: Oliver and Boyd, 1952.
    • (1952) Theory of Equations
    • Turnbull, H.W.1
  • 37
    • 0029325602 scopus 로고
    • Performance analysis of the MVDR spatial spectral estimator
    • Jun.
    • C. Vaidyanathan and K. M. Buckley, “Performance analysis of the MVDR spatial spectral estimator,” IEEE Trans. Signal Process., vol. 43, no. 6, pp. 1427–1437, Jun. 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.6 , pp. 1427-1437
    • Vaidyanathan, C.1    Buckley, K.M.2
  • 38
    • 0032142366 scopus 로고    scopus 로고
    • Performance analysis of the enhanced minimum variance spatial spectrum estimator
    • Aug.
    • C. Vaidyanathan and K. M. Buckley, “Performance analysis of the enhanced minimum variance spatial spectrum estimator,” IEEE Trans. Signal Process., vol. 46, no. 8, pp. 2202–2206, Aug. 1998.
    • (1998) IEEE Trans. Signal Process. , vol.46 , Issue.8 , pp. 2202-2206
    • Vaidyanathan, C.1    Buckley, K.M.2
  • 39
    • 0003462953 scopus 로고
    • Detection, Estimation, and Modulation Theory Part I
    • New York: Wiley
    • H. L. Van Trees, Detection, Estimation, and Modulation Theory Part I. New York: Wiley, 1968.
    • (1968)
    • Van Trees, H.L.1
  • 42
    • 0023170547 scopus 로고
    • Maximum likelihood sequence detection for intersymbol interference channels: A new upper bound on error probability
    • Jan.
    • S. Verdu, “Maximum likelihood sequence detection for intersymbol interference channels: A new upper bound on error probability,” IEEE Trans. Inf. Theory, vol. 33, no. 1, pp. 66–68, Jan. 1987.
    • (1987) IEEE Trans. Inf. Theory , vol.33 , Issue.1 , pp. 66-68
    • Verdu, S.1
  • 43
    • 0028546120 scopus 로고
    • Analysis of the combined effects of finite sample and model errors on array processing performance
    • Nov.
    • M. Viberg and A. L. Swindlehurst, “Analysis of the combined effects of finite sample and model errors on array processing performance,” IEEE Trans. Signal Process., vol. 42, no. 11, pp. 3073–3083, Nov. 1994.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.11 , pp. 3073-3083
    • Viberg, M.1    Swindlehurst, A.L.2
  • 44
    • 0030396766 scopus 로고    scopus 로고
    • The effect of channel mismatch on the spatial spectrum and resolution ability of MUSIC algorithm
    • Oct.
    • S. Weimin, N. Jinlin, L. Guosui, and Z. Guangyi, “The effect of channel mismatch on the spatial spectrum and resolution ability of MUSIC algorithm,” in Proc. CIE Int. Conf. Radar, Oct. 1996, pp. 96–99.
    • (1996) Proc. CIE Int. Conf. Radar , pp. 96-99
    • Weimin, S.1    Jinlin, N.2    Guosui, L.3    Guangyi, Z.4
  • 45
    • 0020736051 scopus 로고
    • Fundamental limitations in passive time delay estimation—Part I: narrow-band systems
    • Apr.
    • A. J. Weiss and E. Weinstein, “Fundamental limitations in passive time delay estimation—Part I: narrow-band systems,” IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-31, no. 2, pp. 472–486, Apr. 1983.
    • (1983) IEEE Trans. Acoust., Speech, Signal Process. , vol.ASSP-31 , Issue.2 , pp. 472-486
    • Weiss, A.J.1    Weinstein, E.2
  • 47
    • 0038100984 scopus 로고    scopus 로고
    • Performance bounds on matched-field methods for source localization and estimation of ocean environmental parameters
    • Ph.D. dissertation Dept. Ocean Eng. Mass. Inst. Technol. Cambridge, MA Jun.
    • W. Xu, “Performance bounds on matched-field methods for source localization and estimation of ocean environmental parameters,” Ph.D. dissertation, Dept. Ocean Eng., Mass. Inst. Technol., Cambridge, MA, Jun. 2001.
    • (2001)
    • Xu, W.1
  • 49
    • 1542716754 scopus 로고    scopus 로고
    • Quantitative ambiguity analysis for matched-field source localization under spatially-correlated noise field
    • presented at the San Diego, CA, Sep.
    • W. Xu and C. D. Richmond, “Quantitative ambiguity analysis for matched-field source localization under spatially-correlated noise field,” presented at the MTS/IEEE Oceans Conf., San Diego, CA, Sep. 2003.
    • (2003) MTS/IEEE Oceans Conf.
    • Xu, W.1    Richmond, C.D.2
  • 50
    • 1942454286 scopus 로고    scopus 로고
    • A bound on mean-squared estimation error with background parameter mismatch
    • Apr.
    • W. Xu, A. B. Baggeroer, and K. L. Bell, “A bound on mean-squared estimation error with background parameter mismatch,” IEEE Trans. Inf. Theory, vol. 50, no. 4, pp. 621–632, Apr. 2004.
    • (2004) IEEE Trans. Inf. Theory , vol.50 , Issue.4 , pp. 621-632
    • Xu, W.1    Baggeroer, A.B.2    Bell, K.L.3
  • 51
    • 0029289744 scopus 로고
    • Probability of resolution of the MUSIC algorithm
    • Apr.
    • Q. T. Zhang, “Probability of resolution of the MUSIC algorithm,” IEEE Trans. Signal Process., vol. 43, no. 4, pp. 978–987, Apr. 1995.
    • (1995) IEEE Trans. Signal Process. , vol.43 , Issue.4 , pp. 978-987
    • Zhang, Q.T.1


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