Polynomial ambiguity resistant precoders: Theory and applications in ISI/multipath cancellation

In this paper, precoding techniques are studied for combating the intersymbol interference (ISI)/multipath effects in communication systems. We introduce a new type-precoder which we term thepolynomial ambiguity resistant (PAR) precoder for its ability to resist signal distortion induced by finite impulse response (FIR) channels. In particular, the precoder allows a receiver to identify an input signal without knowing the channel characteristics at the expense of a minimum amount of bandwidth increase. A family of such precoders, which is linear (no modulo operations), channel independent, and modulation pattern preserving (except for some occasional 0 symbols), is presented. Also presented is a closed-form algorithm that can simultaneously identify the input signals and zero-forcing equalizers.

[1]  Anna Scaglione,et al.  Self-recovering multirate equalizers using redundant filterbank precoders , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[2]  A. Robert Calderbank,et al.  Binary convolutional codes with application to magnetic recording , 1986, IEEE Trans. Inf. Theory.

[3]  G.D. Forney,et al.  Combined equalization and coding using precoding , 1991, IEEE Communications Magazine.

[4]  D. Slock.  Blind joint equalization of multiple synchronous mobile users using oversampling and/or multiple antennas , 1994, Proceedings of 1994 28th Asilomar Conference on Signals, Systems and Computers.

[5]  Zhi Ding,et al.  Joint transmitter-receiver optimization for partial response channels based on nonmaximally decimated filterbank precoding technique , 1999, IEEE Trans. Signal Process..

[6]  M. Fujita,et al.  A self-steering planar array antenna for satellite broadcast reception , 1994 .

[7]  G. David Forney.  Trellis shaping , 1992, IEEE Trans. Inf. Theory.

[8]  Jitendra K. Tugnait.  On blind identifiability of multipath channels using fractional sampling and second-order cyclostationary statistics , 1995, IEEE Trans. Inf. Theory.

[9]  Zhi Ding,et al.  On channel identification based on second-order cyclic spectra , 1994, IEEE Trans. Signal Process..

[10]  Philippe Loubaton,et al.  A subspace algorithm for certain blind identification problems , 1997, IEEE Trans. Inf. Theory.

[11]  Yoram Bresler,et al.  FIR perfect signal reconstruction from multiple convolutions: minimum deconvolver orders , 1998, IEEE Trans. Signal Process..

[12]  Hui Liu,et al.  Filterbank precoders for blind equalization: polynomial ambiguity resistant precoders (PARP) , 2001 .

[13]  G. Giannakis.  Filterbanks for blind channel identification and equalization , 1997, IEEE Signal Processing Letters.

[14]  Yingbo Hua,et al.  A frequency domain deterministic approach to channel identification , 1999, IEEE Signal Processing Letters.

[15]  Lang Tong,et al.  Blind identification and equalization based on second-order statistics: a time domain approach , 1994, IEEE Trans. Inf. Theory.

[16]  Hui Liu,et al.  Closed-form blind symbol estimation in digital communications , 1995, IEEE Trans. Signal Process..

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

[18]  Xiang-Gen Xia,et al.  New precoding for intersymbol interference cancellation using nonmaximally decimated multirate filterbanks with ideal FIR equalizers , 1997, IEEE Trans. Signal Process..

[19]  Yiyan Wu,et al.  COFDM: an overview , 1995, IEEE Trans. Broadcast..

[20]  John M. Cioffi,et al.  Vector coding for partial response channels , 1990, IEEE Trans. Inf. Theory.

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

[22]  Xiang-Gen Xia.  Applications of nonmaximally decimated multirate filterbanks in partial response channel ISI cancellation , 1996, Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96).

[23]  Xiang-Gen Xia.  Ambiguity resistant precoders in ISI/multipath cancellation: distance and optimality , 1997, Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136).

[24]  Dirk T. M. Slock,et al.  Blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction , 1994, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing.

[25]  Xiang-Gen Xia,et al.  Ambiguity resistant polynomial matrices , 1999 .

[26]  Steven A. Tretter,et al.  A simple and effective precoding scheme for noise whitening on intersymbol interference channels , 1993, IEEE Trans. Commun..

[27]  Arogyaswami Paulraj,et al.  A subspace approach to blind space-time signal processing for wireless communication systems , 1997, IEEE Trans. Signal Process..

[28]  Lang Tong,et al.  A new approach to blind identification and equalization of multipath channels , 1991, [1991] Conference Record of the Twenty-Fifth Asilomar Conference on Signals, Systems & Computers.

[29]  Eric Moulines,et al.  Subspace methods for the blind identification of multichannel FIR filters , 1995, IEEE Trans. Signal Process..

[30]  Jack K. Wolf,et al.  Trellis Coding for Partial-Response Channels , 1986, IEEE Trans. Commun..

[31]  M. Sablatash.  Transmission of all-digital advanced television: state of the art and future directions , 1994 .

[32]  G. David Forney,et al.  Trellis precoding: Combined coding, precoding and shaping for intersymbol interference channels , 1992, IEEE Trans. Inf. Theory.

[33]  Y. Li,et al.  Blind channel identification based on second order cyclostationary statistics , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[34]  Yingbo Hua,et al.  Previously Published Works Uc Riverside Title: Fast Maximum Likelihood for Blind Identification of Multiple Fir Channels Fast Maximum Likelihood for Blind Identification of Multiple Fir Channels , 2022 .

[35]  John G. Proakis,et al.  Digital Communications , 1983 .

[36]  J. G. Proakis.  Adaptive equalization for TDMA digital mobile radio , 1991 .

[37]  L.-F. Wei.  Precoding Technique for Partial-Response Channels with Applications to HDTV Transmission , 1993, IEEE J. Sel. Areas Commun..

[38]  W. F. Schreiber,et al.  Advanced television systems for terrestrial broadcasting: Some problems and some proposed solutions , 1995, Proc. IEEE.

[39]  Cishen Zhang,et al.  Semi-blind identification of finite impulse response channels , 1998, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181).

[40]  John M. Cioffi,et al.  A Discrete Multitone Transceiver System for HDSL Applications , 1991, IEEE J. Sel. Areas Commun..

[41]  Jian Yang,et al.  On joint transmitter and receiver optimization for multiple-input-multiple-output (MIMO) transmission systems , 1994, IEEE Trans. Commun..

[42]  Hui Liu,et al.  A deterministic approach to blind symbol estimation , 1994 .

[43]  Kees A. Schouhamer Immink.  Coding techniques for the noisy magnetic recording channel: a state-of-the-art report , 1989, IEEE Trans. Commun..

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

[45]  Paul H. Siegel,et al.  Matched spectral-null codes for partial-response channels , 1989, IEEE Trans. Inf. Theory.

[46]  P. Vaidyanathan.  Multirate Systems And Filter Banks , 1992 .