A New Design Framework for Sparse FIR MIMO Equalizers

• Published in: IEEE transactions on communications Vol. 59; no. 8; pp. 2132 - 2140
• Main Authors: Gomaa, A., Al-Dhahir, N.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antennas; Applied sciences; Broadband; Cellular; channel shortening; Channels; Communication systems; Complexity theory; crosstalk; Design engineering; Detection, estimation, filtering, equalization, prediction; DFE; Equalizers; Equipments and installations; Exact sciences and technology; Finite impulse response filter; Impulse response; Indexes; Information, signal and communications theory; Mathematical analysis; MIMO; MIMO equalizer; Minimization; Mobile radiocommunication systems; Radiocommunications; Signal and communications theory; Signal, noise; Sparse FIR filter; Sparse matrices; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Mobile radiocommunication; MIMO system; DFE; Crosstalk; Wireless telecommunication; Wide band transmission; Decision feedback equalizers; Cell network; Convex programming; Digital filter; channel shortening; Pulse response; Backhaul network; Sparse FIR filter; Telecommunication system; Digital subscriber line; Telecommunication network; Finite impulse response filter; MIMO equalizer; Very high speed; Antenna array; Design for environment; Signal to noise ratio
• ISSN: 0090-6778; 1558-0857
• DOI: 10.1109/TCOMM.2011.053111.100231

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 generalization 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.