Signal processing in decision-feedback equalization of intersymbol-interference and multiple-input/multiple-output channels: a unified view

Digital transmission over dispersive channels which suffer from intersymbol interference (ISI) and/or over multiple-input/ multiple-output (MIMO) channels which exhibit multi-user interference is reviewed. In particular, the digital signal processing required at the receiver for performing decision-feedback equalization is studied. The aims of processing the received signal are discussed and compared for ISI channels, MIMO channels, and MIMO ISI channels. The calculation of the optimum filters for these applications is presented in a unified way, and it is shown that each aspect in one field has its immediate correspondence in the other application.

[1]  Gerard J. Foschini,et al.  Layered space-time architecture for wireless communication in a fading environment when using multi-element antennas , 1996, Bell Labs Technical Journal.

[2]  Harry L. Van Trees,et al.  Detection, Estimation, and Modulation Theory: Radar-Sonar Signal Processing and Gaussian Signals in Noise , 1992 .

[3]  R. Fischer,et al.  Coordinated digital transmission : theory and examples , 1994 .

[4]  Robert F. H. Fischer,et al.  Space-Time Transmission using Tomlinson-Harashima Precoding , 2002 .

[5]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[6]  Ib N. Andersen,et al.  Sample-whitened matched filters , 1973, IEEE Trans. Inf. Theory.

[7]  John M. Cioffi,et al.  MMSE decision-feedback equalizers and coding. I. Equalization results , 1995, IEEE Trans. Commun..

[8]  W. van Etten.  An Optimum Linear Receiver for Multiple Channel Digital Transmission Systems , 1975, IEEE Trans. Commun..

[9]  Reinaldo A. Valenzuela,et al.  Detection algorithm and initial laboratory results using V-BLAST space-time communication architecture , 1999 .

[10]  W. van Etten,et al.  Maximum Likelihood Receiver for Multiple Channel Transmission Systems , 1976, IEEE Trans. Commun..

[11]  Desmond P. Taylor,et al.  On Prefiltering for Reduced–State Equalization of MIMO Channels , 2003 .

[12]  Robert F. H. Fischer,et al.  Precoding and Signal Shaping for Digital Transmission , 2002 .

[13]  John M. Cioffi,et al.  MMSE decision-feedback equalizers and coding. II. Coding results , 1995, IEEE Trans. Commun..

[14]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[15]  John M. Cioffi,et al.  On the relation between V-BLAST and the GDFE , 2001, IEEE Communications Letters.

[16]  M. Davis.  Factoring the spectral matrix , 1963 .

[17]  Alexandra Duel-Hallen,et al.  A family of multiuser decision-feedback detectors for asynchronous code-division multiple-access channels , 1995, IEEE Trans. Commun..

[18]  A. Oppenheim,et al.  Nonlinear filtering of multiplied and convolved signals , 1968 .

[19]  Ван Трис Гарри.  Теория обнаружения, оценок и модуляции. Обработка сигналов в радио- и гидролокации и прием случайных гауссовых сигналов на фоне помех. (Detection, Estimation, and Modulation Theory. P.III. Radar-Sonar Signal Processing and Gaussian Signals in Noise) , 1977 .

[20]  D. Youla,et al.  On the factorization of rational matrices , 1961, IRE Trans. Inf. Theory.

[21]  G. David Forney,et al.  Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference , 1972, IEEE Trans. Inf. Theory.

[22]  Dante C. Youla,et al.  Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle , 1978 .

[23]  G. David Forney,et al.  Modulation and Coding for Linear Gaussian Channels , 1998, IEEE Trans. Inf. Theory.

[24]  Thomas Ericson.  Structure of optimum receiving filters in data transmission systems (Corresp.) , 1971, IEEE Trans. Inf. Theory.

[25]  Ali H. Sayed,et al.  The finite-length multi-input multi-output MMSE-DFE , 2000, IEEE Trans. Signal Process..

[26]  Robert F. H. Fischer,et al.  Sorting in the V-BLAST Algorithm and Loading , 2002 .

[27]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[28]  H. Miyakawa,et al.  Matched-Transmission Technique for Channels With Intersymbol Interference , 1972, IEEE Trans. Commun..

[29]  Bruno O. Shubert,et al.  Random variables and stochastic processes , 1979 .

[30]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[31]  Gene H. Golub,et al.  Matrix computations , 1983 .

[32]  M. Tomlinson.  New automatic equaliser employing modulo arithmetic , 1971 .

[33]  T. Moon,et al.  Mathematical Methods and Algorithms for Signal Processing , 1999 .