Cross-polarization cancellation and equalization in digital transmission over dually polarized multipath fading channels
A theory for data-aided equalization and cancellation in digital data transmission over dually polarized fading radio channels is presented. The present theory generalizes and extends previous work by admitting decision feedback structures with finite-tap transversal filter implementations. Subject...
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| Published in | AT&T Technical Journal Vol. 64; no. 10; pp. 2211 - 2245 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford, UK
AT&T
01.12.1985
Blackwell Publishing Ltd American Telephone and Telegraph |
| Subjects | |
| Online Access | Get full text |
| ISSN | 8756-2324 1538-7305 |
| DOI | 10.1002/j.1538-7305.1985.tb00002.x |
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| Abstract | A theory for data-aided equalization and cancellation in digital data transmission over dually polarized fading radio channels is presented. The present theory generalizes and extends previous work by admitting decision feedback structures with finite-tap transversal filter implementations. Subject to the assumption that some past and/or future data symbols are correctly detected, formulas and algorithms for evaluating the least mean-square error for different structures are presented. In a sequence of curves we evaluate and compare the performance of various structures for a particular propagation model and several fading events. We find improvement in performance for decision feedback over linear equalization. More importantly, we discovered that in this application, as in the single-channel transmission case, decision feedback/ canceler structures are much less sensitive to timing phase than linear equalizers. |
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| AbstractList | A theory for data-aided equalization and cancellation in digital data transmission over dually polarized fading radio channels is presented. The present theory generalizes and extends previous work by admitting decision feedback structures with finite-tap transversal filter implementations. Subject to the assumption that some past and/or future data symbols are correctly detected, formulas and algorithms for evaluating the least mean-square error for different structures are presented. In a sequence of curves we evaluate and compare the performance of various structures for a particular propagation model and several fading events. We find improvement in performance for decision feedback over linear equalization. More importantly, we discovered that in this application, as in the single-channel transmission case, decision feedback/ canceler structures are much less sensitive to timing phase than linear equalizers. |
| Author | Salz, J. Kavehrad, M. |
| Author_xml | – sequence: 1 givenname: M. surname: Kavehrad fullname: Kavehrad, M. – sequence: 2 givenname: J. surname: Salz fullname: Salz, J. |
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| Cites_doi | 10.1109/TCS.1978.1084443 10.1109/TCOM.1977.1093786 10.1002/sapm1946251261 10.1109/TIT.1969.1054307 10.1109/TCOM.1984.1096085 10.1002/j.1538-7305.1984.tb00076.x 10.1109/TCOM.1976.1093381 10.1002/j.1538-7305.1985.tb00041.x 10.1147/rd.122.0163 10.1090/S0025-5718-69-99647-1 |
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| Issue | 10 |
| Keywords | Fading Cross polarization Radio link Multipath propagation Data transmission Equalizer Digital transmission |
| Language | English |
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| Notes | ark:/67375/WNG-SS9R5CS0-J ArticleID:BLTJ2 istex:37594C7151D09605320A841F577EBE28FC774E99 Authors are employees of AT&T Bell Laboratories. B.S.E.E., 1955, M.S.E., 1956, and Ph.D., 1961, University of Florida; AT&T Bell Laboratories, 1961—. B.S. (Electrical Engineering), 1973, Tehran Polytechnic Institute; M.S. (Electrical Engineering), 1975, Worcester Polytechnic Institute; Ph.D. (Electrical Engineering), 1977, Polytechnic Institute of New York; Fairchild Industries, 1977–1978; GTE, 1978–1981; AT&T Bell Laboratories, 1981—. Mohsen Kavehrad Jack Salz |
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| References | G. H. Golub and J. H. Welsch, "Calculations of Gauss Quadrature Rules," Math. Comp., 26, No. 106 (April 1969), pp. 221-30. G. R. McMillen, M. Shafi, and D. P. Taylor, "Simultaneous Adaptive Estimation of Carrier Phase, Symbol Timing, and Data for a 49-QPRS DFE Radio Receiver," IEEE Trans. Commun., COM-32, No. 4 (April 1984), pp. 429-43. W. G. Tuel, "Computer Algorithm for Spectral Factorization of Rational Matrices," IBM J. Res. Develop., 12 (March 1968), pp. 163-70. G. Ungerboeck, "Fractional Tap-Spacing Equalizer and Consequences for Clock Recovery in Data Modems," IEEE Trans. Commun., COM-24, No. 8 (August 1976), pp. 856-64. D. C. Youla and N. Kazanjian, "Bauer-Type Factorization of Positive Matrices and the Theory of Matrix Polynomials Orthogonal on the Unit Circle," IEEE Trans. Circuits Syst., CAS-25, No. 2 (February 1978), pp. 57-69. D. D. Falconer and G. J. Foschini, "Theory of Minimum Mean-Square-Error QAM Systems Employing Decision Feedback Equalization," B.S.T.J., 52, No. 10 (December 1973), pp. 1821-49. N. Wiener and E. J. Akutowicz, "A Factorization of Positive Hermitian Matrices," J. Math. Mech., 8 (August 1959), pp. 111-20. M. S. Mueller and J. Salz, "A Unified Theory of Data-Aided Equalization," B.S.T.J., 60, No. 11 (November 1981), pp. 2023-38. T. Kailath, "A General Likelihood-Ratio Formula for Random Signals in Gaussian Noise," IEEE Trans. Inform. Theory, IT-15, No. 3 (May 1969), pp. 350-61. J. Salz, "Optimum Mean-Square Decision Feedback Equalization," B.S.T.J., 52, No. 8 (October 1973), pp. 1341-73. N. Amitay and J. Salz, "Linear Equalization Theory in Digital Data Transmission Over Dually Polarized Fading Radio Channels," AT&T Bell Lab. Tech. J., 63, No. 10 (December 1984), pp. 2215-59. J. Salz, "On Mean-Square Decision Feedback Equalization and Timing Phase," IEEE Trans. Commun., COM-25, No. 12, pp. 1471-76, December 1977. N. Levinson, "The Wiener RMS (Root Mean Square) Error Criterion in Filter Design and Prediction," J. Math. Phys., 25 (February 1946), pp. 261-78. R. W. Lucky, J. Salz, and E. J. Weldon, Principles of Data Communication, New York: McGraw-Hill, 1968. A. Gersho and T. L. Lim, "Adaptive Cancellation of Intersymbol Interference for Data Transmission," B.S.T.J., 60, No. 11 (November 1981), pp. 1997-2020. M. C. Davis, "Factoring the Spectral Matrix," IEEE Trans. Automat. Contr., AC-8 (October 1963), pp. 296-305. M. Kavehrad, "Baseband Cross-Polarization Interference Cancellation for M-Quadrature Amplitude-Modulated Signals Over Multipath Fading Radio Channels," AT&T Tech. J., 64, No. 8 (October 1985), pp. 1913-26. G. J. Foschini and J. Salz, "Digital Communication Over Fading Radio Channels," B.S.T.J., 62, No. 2, Part I (February 1983), pp. 429-59. D. C. Youla, "On the Factorization of Rational Matrices," IRE Trans. Inform. Theory, IT-7 (July 1961), pp. 172-89. W. D. Rummler, "A New Selective Fading Model: Application to Propagation Data," B.S.T.J., 58, No. 7 (MayJune 1979), pp. 1037-71. MayJune 1979; 58 October 1963; AC‐8 February 1978; CAS‐25 August 1976; COM‐24 February 1983; 62 November 1981; 60 October 1973; 52 April 1984; COM‐32 February 1946; 25 December 1973; 52 December 1977; COM‐25 December 1984; 63 July 1961; IT‐7 March 1968; 12 June 1983 October 1985; 64 May 1969; IT‐15 August 1959; 8 April 1969; 26 1968 Youla (10.1002/j.1538-7305.1985.tb00002.x-BIB14|cit14) February 1978; CAS-25 Falconer (10.1002/j.1538-7305.1985.tb00002.x-BIB11|cit11) December 1973; 52 Mueller (10.1002/j.1538-7305.1985.tb00002.x-BIB4|cit4) November 1981; 60 10.1002/j.1538-7305.1985.tb00002.x-BIB18|cit18 Kavehrad (10.1002/j.1538-7305.1985.tb00002.x-BIB3|cit3) October 1985; 64 Rummler (10.1002/j.1538-7305.1985.tb00002.x-BIB17|cit17) MayJune 1979; 58 Wiener (10.1002/j.1538-7305.1985.tb00002.x-BIB9|cit9) August 1959; 8 Salz (10.1002/j.1538-7305.1985.tb00002.x-BIB19|cit19) December 1977; COM-25 Foschini (10.1002/j.1538-7305.1985.tb00002.x-BIB1|cit1) February 1983; 62 Amitay (10.1002/j.1538-7305.1985.tb00002.x-BIB2|cit2) December 1984; 63 Kailath (10.1002/j.1538-7305.1985.tb00002.x-BIB5|cit5) May 1969; IT-15 Gersho (10.1002/j.1538-7305.1985.tb00002.x-BIB6|cit6) November 1981; 60 Youla (10.1002/j.1538-7305.1985.tb00002.x-BIB8|cit8) July 1961; IT-7 Salz (10.1002/j.1538-7305.1985.tb00002.x-BIB7|cit7) October 1973; 52 Levinson (10.1002/j.1538-7305.1985.tb00002.x-BIB12|cit12) February 1946; 25 Davis (10.1002/j.1538-7305.1985.tb00002.x-BIB10|cit10) October 1963; AC-8 Ungerboeck (10.1002/j.1538-7305.1985.tb00002.x-BIB20|cit20) August 1976; COM-24 Golub (10.1002/j.1538-7305.1985.tb00002.x-BIB15|cit15) April 1969; 26 Lucky (10.1002/j.1538-7305.1985.tb00002.x-BIB16|cit16) 1968 McMillen (10.1002/j.1538-7305.1985.tb00002.x-BIB21|cit21) April 1984; COM-32 Tuel (10.1002/j.1538-7305.1985.tb00002.x-BIB13|cit13) March 1968; 12 |
| References_xml | – reference: D. D. Falconer and G. J. Foschini, "Theory of Minimum Mean-Square-Error QAM Systems Employing Decision Feedback Equalization," B.S.T.J., 52, No. 10 (December 1973), pp. 1821-49. – reference: N. Levinson, "The Wiener RMS (Root Mean Square) Error Criterion in Filter Design and Prediction," J. Math. Phys., 25 (February 1946), pp. 261-78. – reference: M. S. Mueller and J. Salz, "A Unified Theory of Data-Aided Equalization," B.S.T.J., 60, No. 11 (November 1981), pp. 2023-38. – reference: N. Wiener and E. J. Akutowicz, "A Factorization of Positive Hermitian Matrices," J. Math. Mech., 8 (August 1959), pp. 111-20. – reference: G. Ungerboeck, "Fractional Tap-Spacing Equalizer and Consequences for Clock Recovery in Data Modems," IEEE Trans. Commun., COM-24, No. 8 (August 1976), pp. 856-64. – reference: N. Amitay and J. Salz, "Linear Equalization Theory in Digital Data Transmission Over Dually Polarized Fading Radio Channels," AT&T Bell Lab. Tech. J., 63, No. 10 (December 1984), pp. 2215-59. – reference: W. D. Rummler, "A New Selective Fading Model: Application to Propagation Data," B.S.T.J., 58, No. 7 (MayJune 1979), pp. 1037-71. – reference: J. Salz, "Optimum Mean-Square Decision Feedback Equalization," B.S.T.J., 52, No. 8 (October 1973), pp. 1341-73. – reference: G. H. Golub and J. H. Welsch, "Calculations of Gauss Quadrature Rules," Math. Comp., 26, No. 106 (April 1969), pp. 221-30. – reference: D. C. Youla and N. Kazanjian, "Bauer-Type Factorization of Positive Matrices and the Theory of Matrix Polynomials Orthogonal on the Unit Circle," IEEE Trans. Circuits Syst., CAS-25, No. 2 (February 1978), pp. 57-69. – reference: R. W. Lucky, J. Salz, and E. J. Weldon, Principles of Data Communication, New York: McGraw-Hill, 1968. – reference: G. R. McMillen, M. Shafi, and D. P. Taylor, "Simultaneous Adaptive Estimation of Carrier Phase, Symbol Timing, and Data for a 49-QPRS DFE Radio Receiver," IEEE Trans. Commun., COM-32, No. 4 (April 1984), pp. 429-43. – reference: M. Kavehrad, "Baseband Cross-Polarization Interference Cancellation for M-Quadrature Amplitude-Modulated Signals Over Multipath Fading Radio Channels," AT&T Tech. J., 64, No. 8 (October 1985), pp. 1913-26. – reference: T. Kailath, "A General Likelihood-Ratio Formula for Random Signals in Gaussian Noise," IEEE Trans. Inform. Theory, IT-15, No. 3 (May 1969), pp. 350-61. – reference: W. G. Tuel, "Computer Algorithm for Spectral Factorization of Rational Matrices," IBM J. Res. Develop., 12 (March 1968), pp. 163-70. – reference: D. C. Youla, "On the Factorization of Rational Matrices," IRE Trans. Inform. Theory, IT-7 (July 1961), pp. 172-89. – reference: G. J. Foschini and J. Salz, "Digital Communication Over Fading Radio Channels," B.S.T.J., 62, No. 2, Part I (February 1983), pp. 429-59. – reference: J. Salz, "On Mean-Square Decision Feedback Equalization and Timing Phase," IEEE Trans. Commun., COM-25, No. 12, pp. 1471-76, December 1977. – reference: A. Gersho and T. L. Lim, "Adaptive Cancellation of Intersymbol Interference for Data Transmission," B.S.T.J., 60, No. 11 (November 1981), pp. 1997-2020. – reference: M. C. Davis, "Factoring the Spectral Matrix," IEEE Trans. Automat. Contr., AC-8 (October 1963), pp. 296-305. – volume: 12 start-page: 163 year: March 1968 end-page: 70 article-title: “Computer Algorithm for Spectral Factorization of Rational Matrices,” publication-title: IBM J. Res. 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| Snippet | A theory for data-aided equalization and cancellation in digital data transmission over dually polarized fading radio channels is presented. The present theory... A theory for data‐aided equalization and cancellation in digital data transmission over dually polarized fading radio channels is presented. The present theory... |
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| SubjectTerms | Applied sciences Exact sciences and technology Radiocommunications Telecommunications Telecommunications and information theory |
| Title | Cross-polarization cancellation and equalization in digital transmission over dually polarized multipath fading channels |
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