Minimum mean-squared error decision-feedback equalization for digital subscriber line transmission with possibly correlated line codes

The author presents a theory on MMSE (minimum mean-squared error) decision-feedback equalization which augments previously published results by allowing both a correlated symbol sequence and a fractionally spaced DFE (decision-feedback equalizer) forward filter. This theory facilitates calculating the potential DSL (digital subscriber line) transmission performance in cases of correlated line codes, especially for situations where one or both of the DFE filters are infinite in length. The situation of an infinite-length DFE is of interest because it provides information on the limit of MMSE equalization and can thus serve as a benchmark against which the performance of a finite-length DFE may be compared. The author also presents a few numerical examples of the performance of MMSE decision-feedback equalization in DSL transmission at ISDN (integrated services digital network) basic access rates with several well-known line codes. >

[1]  B. Anderson,et al.  Optimal Filtering , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[2]  A. Gibbs,et al.  The Covariance of Near End Crosstalk and Its Application to PCM System Engineering in Multipair Cable , 1979, IEEE Trans. Commun..

[3]  U. Grenander,et al.  Toeplitz Forms And Their Applications , 1958 .

[4]  David W. Lin,et al.  Minimum mean-square error echo cancellation and equalization for digital subscriber line transmission. I. Theory and computation , 1990, IEEE Trans. Commun..

[5]  Peter Kabal,et al.  Partial-Response Signaling , 1975, IEEE Trans. Commun..

[6]  John Bellamy.  Digital Telephony , 1982 .

[7]  K. S. Banerjee.  Generalized Inverse of Matrices and Its Applications , 1973 .

[8]  David W. Lin.  Minimum mean-squared error echo cancellation and equalization for digital subscriber line transmission. II. A simulation study , 1990, IEEE Trans. Commun..

[9]  J. Makhoul,et al.  Linear prediction: A tutorial review , 1975, Proceedings of the IEEE.

[10]  J. Salz.  Optimum mean-square decision feedback equalization , 1973 .

[11]  S. Qureshi,et al.  Adaptive equalization , 1982, Proceedings of the IEEE.

[12]  P. Monsen,et al.  Theoretical and Measured Performance of a DFE Modem on a Fading Multipath Channel , 1977, IEEE Trans. Commun..

[13]  J. Salz.  On Mean-Square Decision Feedback Equalization and Timing Phase , 1977, IEEE Trans. Commun..

[14]  G. Cariolaro,et al.  Spectra of Block Coded Digital Signals , 1974, IEEE Trans. Commun..

[15]  Theo A. C. M. Claasen,et al.  Design Considerations for a 144 kbit/s Digital Transmission Unit for the Local Telephone Network , 1984, IEEE J. Sel. Areas Commun..

[16]  P. A. Franaszek,et al.  Sequence-state coding for digital transmission , 1968 .

[17]  Joseph W. Lechleider.  Digital Subscriber Line Terminals for Use with Correlated Line Codes , 1987, IEEE Trans. Commun..

[18]  W. F. McGee.  Coding, equalization and feedback of digital cable pair signals , 1982, Canadian Electrical Engineering Journal.

[19]  John E. Markel,et al.  Linear Prediction of Speech , 1976, Communication and Cybernetics.

[20]  C.A. Belfiore,et al.  Decision feedback equalization , 1979, Proceedings of the IEEE.

[21]  F. Waldhauer.  Quantized Feedback in an Experimental 280-Mb/s Digital Repeater for Coaxial Transmission , 1974, IEEE Trans. Commun..

[22]  Peter Monsen,et al.  Feedback equalization for fading dispersive channels , 1971, IEEE Trans. Inf. Theory.