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Summary: IEEE TRANSACTIONS ON COMMUNICATIONS, ACCEPTED FOR PUBLICATION 1
A New Design Framework for Sparse FIR MIMO
Equalizers
Ahmad Gomaa, Student Member, IEEE, and Naofal Al-Dhahir, Fellow, IEEE
Abstract--In this paper, we propose a new framework for the
design of sparse finite impulse response (FIR) equalizers. We start
by formulating greedy and convex-optimization-based solutions
for sparse FIR linear equalizer tap vectors given a maximum
allowable loss in the decision-point signal-to-noise ratio. Then,
we extend our formulation to decision feedback equalizers and
multiple-antenna systems. This is followed by further general-
ization to the channel shortening setup which is important for
communication systems operating over broadband channels with
long channel impulse responses. We propose a novel approach to
design a sparse target impulse response. Finally, as an application
of current practical interest, we consider self far-end crosstalk
cancellation on vectored very high-speed digital subscriber line
systems for cellular backhaul networks.
Index Terms--Sparse FIR filter, MIMO equalizer, DFE, chan-
nel shortening, crosstalk.
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