A Wiener Filter Approach to the Design of Filter Bank Based Single-Carrier Precoding and Equalisation

Oversampled filter banks have recently been considered for channel coding applications as well as precoders and equaliser, whereby both inter-symbol interference and channel noise can be mitigated by the filter bank design. Existing methods are block-based designs which dedicate degrees of freedom towards cancelling inter-block interference. In this paper, we propose a non-block based OSFB design for precoding and equalisation, which is based on Mertins' extended Wiener solution, whereby polynomial matrices are admitted for precoders and equalisers by applying a recently proposed broadband eigenvalue decomposition (BEVD) algorithm. Some simulation results are provided to highlight the effectiveness of the proposed approach.

[1]  Frank R. Kschischang,et al.  In-building power lines as high-speed communication channels: channel characterization and a test channel ensemble , 2003, Int. J. Commun. Syst..

[2]  S. Weiss,et al.  Channel coding for power line communication based on oversampled filter banks , 2005, International Symposium on Power Line Communications and Its Applications, 2005..

[3]  John G. McWhirter,et al.  Paraunitary Oversampled Filter Bank Design for Channel Coding , 2006, EURASIP J. Adv. Signal Process..

[4]  Anna Scaglione,et al.  Redundant filterbank precoders and equalizers. II. Blind channel estimation, synchronization, and direct equalization , 1999, IEEE Trans. Signal Process..

[5]  John G. McWhirter,et al.  A Novel Technique for Broadband Singular Value Decomposition , 2004 .

[6]  Soydan Redif,et al.  Paraunitary filter bank design via a polynomial singular-value decomposition , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[7]  P. Ciblat,et al.  An OFDMA based modem for powerline communications over the low voltage distribution network , 2005, International Symposium on Power Line Communications and Its Applications, 2005..

[8]  John G. McWhirter,et al.  An EVD Algorithm for Para-Hermitian Polynomial Matrices , 2007, IEEE Transactions on Signal Processing.

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

[10]  I. Miller.  Probability, Random Variables, and Stochastic Processes , 1966 .

[11]  Anna Scaglione,et al.  Redundant filterbank precoders and equalizers. I. Unification and optimal designs , 1999, IEEE Trans. Signal Process..

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

[13]  Alfred Mertins.  MMSE design of redundant FIR precoders for arbitrary channel lengths , 2003, IEEE Trans. Signal Process..

[14]  L. Vandendorpe,et al.  Oversampled filter banks as error correcting codes: theory and impulse noise correction , 2005, IEEE Transactions on Signal Processing.

[15]  Daniel Pérez Palomar,et al.  Practical algorithms for a family of waterfilling solutions , 2005, IEEE Transactions on Signal Processing.