Realizable Spatio-Temporal Tomlinson-Harashima Precoders: Theory and Fast Computation

We derive the optimal realizable Tomlinson-Harashima precoder for frequency-selective multiple-input multiple-output (MIMO) channels with respect to a simplified mean square error (MSE) criterion. Realizability means that, in contrast to other works, we do not restrict the internal filters of the pr...

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Vydané v:	IEEE transactions on signal processing Ročník 60; číslo 9; s. 4819 - 4833
Hlavní autori:	Wahls, S., Boche, H.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York, NY IEEE 01.09.2012 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Predmet:	Algorithms Applied sciences Coding, codes Complexity theory Decision feedback equalizers Detection, estimation, filtering, equalization, prediction Exact sciences and technology Fast algorithms Feedforward neural networks Finite impulse response filter Information, signal and communications theory intersymbol interference least mean squares algorithms Mean square error methods MIMO precoding Receivers Signal and communications theory Signal, noise Studies Telecommunications and information theory Transmitters Infinite impulse response filter Input signal least mean squares algorithms Transmitter precoding Frequency selector Optimization Mean square error Digital filter Frequency selection Coding Fast algorithms Ordering MIMO Pretreatment Fast algorithm Feedforward MIMO system Coding circuit Decentralized system Intersymbol interference Digital subscriber line Signal processing Finite impulse response filter Least mean squares methods
ISSN:	1053-587X, 1941-0476
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Popis
Shrnutí:	We derive the optimal realizable Tomlinson-Harashima precoder for frequency-selective multiple-input multiple-output (MIMO) channels with respect to a simplified mean square error (MSE) criterion. Realizability means that, in contrast to other works, we do not restrict the internal filters of the precoder to have finite impulse responses (FIRs) but nevertheless ensure that the precoder can be operated in real-time subject to a finite latency time which can be chosen by the system designer. In particular, this allows us to consider channels with infinite impulse responses (IIRs) as they occur, e.g., in digital subscriber lines. The feedforward filter is located at the transmitter in our system model and an additional scalar gain is employed at the receiver. The relocation of the feedforward filter allows us to consider decentralized receivers. However, it also makes it necessary to impose a transmit power constraint. The power constraint often has the effect that the input signals at the receiver have to be rescaled. We argue that the inclusion of the additional scalar gain allows us to incorporate the effect of the rescaling operation into the optimization. Special emphasis is put on the fast computation of the realizable Tomlinson-Harashima precoder via displacement structure theory. We propose a fast algorithm which includes a successive construction of a close-to-optimal ordering of the data streams. The complexity of this algorithm is only cubic in the number of channel inputs and quadratic in the latency time. The algorithm can also be applied in situations where certain FIR constraints have to be fulfilled because we find that the optimal realizable Tomlinson-Harashima precoder involves only FIR filters as soon as the channel is FIR. Our results are reproducible.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14
ISSN:	1053-587X 1941-0476
DOI:	10.1109/TSP.2012.2203123