A new precoding for ISI cancellation using multirate filterbanks

In this paper, we propose a new precoding scheme for intersymbol interference (ISI) cancellation using multirate filterbanks. The ISI channel may not have inverses, such as frequency-selective fading channels. We present a necessary and sufficient condition on an FIR ISI transfer function in terms of its zero set such that a linear FIR ideal equalizer exists. The condition is easy to check and satisfy. Designs of pre/postcodings are also presented. A numerical example is presented to illustrate the theory.

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

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

[3]  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.

[4]  Truong Q. Nguyen.  Partial spectrum reconstruction using digital filter banks , 1993, IEEE Trans. Signal Process..

[5]  Z. Ding,et al.  Channel identification using second order cyclic statistics , 1992, [1992] Conference Record of the Twenty-Sixth Asilomar Conference on Signals, Systems & Computers.

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

[7]  Jitendra K. Tugnait,et al.  Blind equalization and estimation of FIR communications channels using fractional sampling , 1996, IEEE Trans. Commun..