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Volumn 56, Issue 4, 2008, Pages 1327-1336

A unifying discussion of correlation analysis for complex random vectors

Author keywords

Canonical correlations; Correlation analysis; Improper complex random vector; Majorization; Multivariate linear regression; Partial least squares; Polarization; Widely linear estimator

Indexed keywords

APPROXIMATION THEORY; CORRELATION METHODS; LINEAR REGRESSION; RANDOM PROCESSES;

EID: 41849124224     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2007.909054     Document Type: Article
Times cited : (37)

References (28)
  • 1
    • 0005472817 scopus 로고
    • On measures of dependence
    • Sep
    • A. Renyi, "On measures of dependence," Acta Mathematica Arad. Sci. Hungary, vol. 10, no. 3-4, pp. 441-451, Sep. 1959.
    • (1959) Acta Mathematica Arad. Sci. Hungary , vol.10 , Issue.3-4 , pp. 441-451
    • Renyi, A.1
  • 3
    • 0000107975 scopus 로고
    • Relations between two sets of variates
    • Dec
    • H. Hotelling, "Relations between two sets of variates," Biometrika vol. 28, no. 3-4, pp. 321-377, Dec. 1936.
    • (1936) Biometrika , vol.28 , Issue.3-4 , pp. 321-377
    • Hotelling, H.1
  • 6
    • 41849085141 scopus 로고    scopus 로고
    • H. Wold, Path models with latent variables: The NIPALS approach, in Quantitative Sociology: International Perspectives on Mathematical and Statistical Modeling, H. M. Blalock, Ed. et al. New York: Academic, 1975, pp. 307-357.
    • H. Wold, "Path models with latent variables: The NIPALS approach," in Quantitative Sociology: International Perspectives on Mathematical and Statistical Modeling, H. M. Blalock, Ed. et al. New York: Academic, 1975, pp. 307-357.
  • 7
    • 0000781020 scopus 로고
    • Partial least squares
    • S. Kotz and N. L. Johnson, Eds. New York: Wiley
    • H. Wold, "Partial least squares," in Encyclopedia of the Statistical Sciences, S. Kotz and N. L. Johnson, Eds. New York: Wiley, 1985, pp. 581-591.
    • (1985) Encyclopedia of the Statistical Sciences , pp. 581-591
    • Wold, H.1
  • 8
    • 0024805647 scopus 로고
    • Neurobehavioral effects of prenatal alcohol: Part II. Partial least squares analysis
    • Sep.-Oct
    • P. D. Sampson, A. P. Streissguth, H. M. Barr, and F. L. Bookstein, "Neurobehavioral effects of prenatal alcohol: Part II. Partial least squares analysis," Neurotoxicol. Teratol., vol. 11, no. 5, pp. 477-491, Sep.-Oct. 1989.
    • (1989) Neurotoxicol. Teratol , vol.11 , Issue.5 , pp. 477-491
    • Sampson, P.D.1    Streissguth, A.P.2    Barr, H.M.3    Bookstein, F.L.4
  • 10
    • 0035266651 scopus 로고    scopus 로고
    • Optimal reduced-rank estimation and filtering
    • Mar
    • Y. Hua, M. Nikpour, and P. Stoica, "Optimal reduced-rank estimation and filtering," IEEE Trans. Signal Process., vol. 49, no. 3, pp. 457-469, Mar. 2001.
    • (2001) IEEE Trans. Signal Process , vol.49 , Issue.3 , pp. 457-469
    • Hua, Y.1    Nikpour, M.2    Stoica, P.3
  • 12
    • 0018849079 scopus 로고
    • A general correlation coefficient for directional data and related regression problems
    • Apr
    • P. E. Jupp and K. V. Mardia, "A general correlation coefficient for directional data and related regression problems," Biometrika, vol. 67, no. 1, pp. 163-173, Apr. 1980.
    • (1980) Biometrika , vol.67 , Issue.1 , pp. 163-173
    • Jupp, P.E.1    Mardia, K.V.2
  • 13
    • 84984524622 scopus 로고
    • Descriptions of the polarization states of vector processes: Application to ULF magnetic fields
    • Dec
    • J. C. Samson, "Descriptions of the polarization states of vector processes: Application to ULF magnetic fields," Geophys. J. R. Astron. Soc., vol. 34, no. 4, pp. 403-419, Dec. 1973.
    • (1973) Geophys. J. R. Astron. Soc , vol.34 , Issue.4 , pp. 403-419
    • Samson, J.C.1
  • 14
    • 1642603314 scopus 로고    scopus 로고
    • Unified measures for optical fields: Degree of polarization and effective degree of coherence
    • P. Vahimaa and J. Tervo, "Unified measures for optical fields: Degree of polarization and effective degree of coherence," J. Opt. A: Pure Appl. Opt., vol. 6, no. 3, pp. S41-S44, 2004.
    • (2004) J. Opt. A: Pure Appl. Opt , vol.6 , Issue.3
    • Vahimaa, P.1    Tervo, J.2
  • 15
    • 0002031978 scopus 로고
    • Unification of various techniques of multivariate analysis by means of generalized coefficient of determination (G.C.D.)
    • H. Yanai, "Unification of various techniques of multivariate analysis by means of generalized coefficient of determination (G.C.D.) ," J. Behaviormetrics, vol. 1, no. 1, pp. 45-54, 1974.
    • (1974) J. Behaviormetrics , vol.1 , Issue.1 , pp. 45-54
    • Yanai, H.1
  • 16
    • 0000612632 scopus 로고
    • Linear correlation between sets of variables
    • Mar
    • W. W. Rozeboom, "Linear correlation between sets of variables," Psychometrika, vol. 30, no. 1, pp. 57-71, Mar. 1965.
    • (1965) Psychometrika , vol.30 , Issue.1 , pp. 57-71
    • Rozeboom, W.W.1
  • 17
    • 85004723138 scopus 로고
    • Measuring the relationship between two sets of variables
    • P. Coxhead, "Measuring the relationship between two sets of variables," Brit. J. Math. Stat. Psych., vol. 27, pp. 205-212, 1974.
    • (1974) Brit. J. Math. Stat. Psych , vol.27 , pp. 205-212
    • Coxhead, P.1
  • 18
    • 0002388860 scopus 로고
    • Some symmetric, invariant measures of multivariate association
    • Mar
    • E. M. Cramer and W. A. Nicewander, "Some symmetric, invariant measures of multivariate association," Psychometrika, vol. 44, no. 1, pp. 43-54, Mar. 1979.
    • (1979) Psychometrika , vol.44 , Issue.1 , pp. 43-54
    • Cramer, E.M.1    Nicewander, W.A.2
  • 19
    • 0033886042 scopus 로고    scopus 로고
    • Canonical coordinates and the geometry of inference, rate, and capacity
    • Mar
    • L. L. Scharf and C. T. Mullis, "Canonical coordinates and the geometry of inference, rate, and capacity," IEEE Trans. Signal Process., vol. 48, no. 3, pp. 824-831, Mar. 2000.
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.3 , pp. 824-831
    • Scharf, L.L.1    Mullis, C.T.2
  • 20
    • 0037333301 scopus 로고    scopus 로고
    • Second-order analysis of improper complex random vectors and processes
    • Mar
    • P. J. Schreier and L. L. Scharf, "Second-order analysis of improper complex random vectors and processes," IEEE Trans. Signal Process. vol. 51, no. 3, pp. 714-725, Mar. 2003.
    • (2003) IEEE Trans. Signal Process , vol.51 , Issue.3 , pp. 714-725
    • Schreier, P.J.1    Scharf, L.L.2
  • 21
    • 0014328120 scopus 로고
    • A general canonical correlation index
    • Psych, Sep
    • D. Stewart and W. Love, "A general canonical correlation index," Psych. Bull., vol. 70, no. 3, pt. 1, pp. 160-163, Sep. 1968.
    • (1968) Bull , vol.70 , Issue.3 PART. 1 , pp. 160-163
    • Stewart, D.1    Love, W.2
  • 22
    • 0000737458 scopus 로고
    • On redundancy in canonical analysis
    • Nov
    • T. C. Gleason, "On redundancy in canonical analysis," Psych. Bull. vol. 83, no. 6, pp. 1004-1006, Nov. 1976.
    • (1976) Psych. Bull , vol.83 , Issue.6 , pp. 1004-1006
    • Gleason, T.C.1
  • 23
    • 30344476411 scopus 로고    scopus 로고
    • Canonical coordinates for transform coding of noisy sources
    • Jan
    • P. J. Schreier and L. L. Scharf, "Canonical coordinates for transform coding of noisy sources," IEEE Trans. Signal Process., vol. 54, no. 1, pp. 235-243, Jan. 2006.
    • (2006) IEEE Trans. Signal Process , vol.54 , Issue.1 , pp. 235-243
    • Schreier, P.J.1    Scharf, L.L.2
  • 24
    • 0001400228 scopus 로고
    • A unifying tool for linear multivariate statistical methods: The RV-coefficient
    • P. Robert and Y. Escoufier, "A unifying tool for linear multivariate statistical methods: The RV-coefficient," Appl. Stat., vol. 25, no. 3, pp. 257-265, 1976.
    • (1976) Appl. Stat , vol.25 , Issue.3 , pp. 257-265
    • Robert, P.1    Escoufier, Y.2
  • 25
    • 0034145031 scopus 로고    scopus 로고
    • Modelling and forecasting with robust canonical analysis: Method and application
    • Mar
    • A. Tishler and S. Lipovetsky, "Modelling and forecasting with robust canonical analysis: Method and application," Comput. Oper. Res., vol. 27, no. 3, pp. 217-232, Mar. 2000.
    • (2000) Comput. Oper. Res , vol.27 , Issue.3 , pp. 217-232
    • Tishler, A.1    Lipovetsky, S.2
  • 26
    • 0028725278 scopus 로고
    • On circularity
    • Dec
    • B. Picinbono, "On circularity," IEEE Trans. Signal Process., vol. 42, no. 12, pp. 3473-3482, Dec. 1994.
    • (1994) IEEE Trans. Signal Process , vol.42 , Issue.12 , pp. 3473-3482
    • Picinbono, B.1
  • 27
    • 0029359751 scopus 로고
    • Widely linear estimation with complex data
    • Aug
    • B. Picinbono and P. Chevalier, "Widely linear estimation with complex data," IEEE Trans. Signal Process., vol. 43, no. 8, pp. 2030-2033, Aug. 1995.
    • (1995) IEEE Trans. Signal Process , vol.43 , Issue.8 , pp. 2030-2033
    • Picinbono, B.1    Chevalier, P.2
  • 28
    • 0002057531 scopus 로고
    • Singular values, diagonal elements, and convexity
    • Jan
    • R. C. Tbompson, "Singular values, diagonal elements, and convexity," SIAM J. Appl. Math., vol. 32, no. 1, pp. 39-63, Jan. 1977.
    • (1977) SIAM J. Appl. Math , vol.32 , Issue.1 , pp. 39-63
    • Tbompson, R.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.