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Iterative Refinement Methods for Time-Domain Equalizer Design
EURASIP Journal on Advances in Signal Processing volume 2006, Article number: 043154 (2006)
Abstract
Commonly used time domain equalizer (TEQ) design methods have been recently unified as an optimization problem involving an objective function in the form of a Rayleigh quotient. The direct generalized eigenvalue solution relies on matrix decompositions. To reduce implementation complexity, we propose an iterative refinement approach in which the TEQ length starts at two taps and increases by one tap at each iteration. Each iteration involves matrix-vector multiplications and vector additions with matrices and two-element vectors. At each iteration, the optimization of the objective function either improves or the approach terminates. The iterative refinement approach provides a range of communication performance versus implementation complexity tradeoffs for any TEQ method that fits the Rayleigh quotient framework. We apply the proposed approach to three such TEQ design methods: maximum shortening signal-to-noise ratio, minimum intersymbol interference, and minimum delay spread.
References
ANSI T1.413-1995, Network and customer installation interfaces: Asymmetrical digital subscriber line (ADSL) metallic interface printed from: Digital Subscriber Line Technology by T. Starr, J. M. Cioffi, and P. J. Silverman, Prentice-Hall, 1999
Martin RK, Vanbleu K, Ding M, et al.: Unification and evaluation of equalization structures and design algorithms for discrete multitone modulation systems. IEEE Transactions Signal Processing 2005, 53(10, part 1):3880–3894.
Chow JS, Cioffi JM: A cost-effective maximum likelihood receiver for multicarrier systems. Proceedings of IEEE International Conference on Communications (ICC '92), June 1992, Chicago, Ill, USA 2: 948–952.
Van Acker K, Leus G, Moonen M, van de Wiel O, Pollet T: Per tone equalization for DMT-based systems. IEEE Transactions on Communications 2001, 49(1):109–119. 10.1109/26.898255
Ding M, Shen Z, Evans BL: An achievable performance upper bound for discrete multitone equalization. Proceedings of IEEE Global Telecommunications Conference (GLOBECOM '04), November–December 2004, Dallas, Tex, USA 4: 2297–2301.
Melsa PJW, Younce RC, Rohrs CE: Impulse response shortening for discrete multitone transceivers. IEEE Transactions on Communications 1996, 44(12):1662–1672. 10.1109/26.545896
Arslan G, Evans BL, Kiaei S: Equalization for discrete multitone transceivers to maximize bit rate. IEEE Transactions Signal Processing 2001, 49(12):3123–3135. 10.1109/78.969519
Schur R, Speidel J: An efficient equalization method to minimize delay spread in OFDM/DMT systems. Proceedings of IEEE International Conference on Communications (ICC '01), June 2001, Helsinki, Finland 5: 1481–1485.
Martin RK, Vanbleu K, Ding M, et al.: Implementation complexity and communication performance tradeoffs in discrete multitone modulation equalizers. to appear in IEEE Trans. Signal Processing, https://doi.org/www.ece.utexas.edu/~bevans/papers/2005/equalizationII to appear in IEEE Trans. Signal Processing,
Ding M, Evans BL, Wong I: Effect of channel estimation error on bit rate performance of time domain equalizers. Proceedings of 38th IEEE Asilomar Conference on Signals, Systems and Computers, November 2004, Pacific Grove, Calif, USA 2: 2056–2060.
Golub GH, Van Loan CF: Matrix Computation. 3rd edition. John Hopkins University Press, Baltimore, Md, USA; 1996.
Yin C, Yue G: Optimal impulse response shortening for discrete multitone transceivers. IEE Electronics Letters 1998, 34(1):35–36. 10.1049/el:19980011
Demmel JW: Applied Numerical Linear Algebra. SIAM, Philadelphia, Pa, USA; 1997.
Lu B, Clark LD, Arslan G, Evans BL: Fast Time-Domain Equalization for Discrete Multitone Modulation Systems. Proceedings of IEEE Digital Signal Processing Workshop, October 2000, Hunt, Tex, USA
Arslan G, Ding M, Lu B, Milosevic M, Shen Z, Evans BL: MATLAB DMTTEQ Toolbox 3.1. 2003.https://doi.org/www.ece.utexas.edu/~bevans/projects/adsl/dmtteq/dmtteq.html Available at:
Al-Dhahir N, Cioffi JM: A bandwidth-optimized reduced-complexity equalized multicarrier transceiver. IEEE Transactions on Communications 1997, 45(8):948–956. 10.1109/26.618299
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Arslan, G., Lu, B., Clark, L.D. et al. Iterative Refinement Methods for Time-Domain Equalizer Design. EURASIP J. Adv. Signal Process. 2006, 043154 (2006). https://doi.org/10.1155/ASP/2006/43154
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DOI: https://doi.org/10.1155/ASP/2006/43154