Algebraic Analysis of Linear Precoding for Channel Identiication

This paper studies the ability of linear precoders and lter banks to introduce suucient algebraic redundancy to enable the receiver to algebraically identify an unknown nite impulse response channel. Prior to the work herein, identiiability issues had only been resolved for specially designed linear pre-coders for which linear algebra or z-domain analysis suuced. The results obtained here help explain the connection between various identiiability criteria such as Fisher information-based identiiability and strict identiiability.

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

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

[3]  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..

[4]  Hui Liu,et al.  Recent developments in blind channel equalization: From cyclostationarity to subspaces , 1996, Signal Process..

[5]  A. Viterbi.  CDMA: Principles of Spread Spectrum Communication , 1995 .

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

[7]  G. Greuel,et al.  SINGULAR version 1.2 User Manual , 1998 .

[8]  Yingbo Hua,et al.  Strict identifiability of multiple FIR channels driven by an unknown arbitrary sequence , 1996, IEEE Trans. Signal Process..

[9]  Eduardo Sontag.  On the Observability of Polynomial Systems, I: Finite-Time Problems , 1979 .

[10]  Xiang-Gen Xia,et al.  Polynomial ambiguity resistant precoders: Theory and applications in ISI/multipath cancellation , 2000 .

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

[12]  B. Floch,et al.  Coded orthogonal frequency division multiplex , 1995 .

[13]  Anna Scaglione,et al.  Redundant filterbank precoders and equalizers , 1998 .

[14]  Karim Abed-Meraim,et al.  Blind system identification , 1997, Proc. IEEE.

[15]  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).

[16]  K. Abed-Meraim.  Blind System Identiication , 1997 .

[17]  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 .

[18]  S. Biyiksiz,et al.  Multirate digital signal processing , 1985, Proceedings of the IEEE.

[19]  L. Tong,et al.  Multichannel blind identification: from subspace to maximum likelihood methods , 1998, Proc. IEEE.

[20]  Donal O'Shea,et al.  Ideals, varieties, and algorithms - an introduction to computational algebraic geometry and commutative algebra (2. ed.) , 1997, Undergraduate texts in mathematics.

[21]  W. C. Mcginnis.  Ideals , 1925, Free Speech.

[22]  G.B. Giannakis,et al.  Direct blind equalization for transmitter induced cyclostationarity , 1997, First IEEE Signal Processing Workshop on Signal Processing Advances in Wireless Communications.

[23]  Georgios B. Giannakis,et al.  Transmitter induced cyclostationarity for blind channel equalization , 1997, IEEE Trans. Signal Process..

[24]  Sergio Verdu,et al.  Multiuser Detection , 1998 .

[25]  Eduardo Sontag.  On the Observability of Polynomial Systems. , 1977 .