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Infinite length results for channel shortening equalizers

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4 Author(s)
Martin, R.K. ; Sch. of Electr. & Comput. Eng., Cornell Univ., Ithaca, NY, USA ; Johnson, C.R. ; Ding, M. ; Evans, B.L.

Time-domain equalization is crucial in reducing state dimension in maximum likelihood sequence estimation, and intercarrier and intersymbol interference in 802.11a and ADSL multicarrier systems. A time-domain equalizer, or TEQ, which is a finite impulse response (FIR) filter, placed in cascade with the channel produces an effective impulse response of ν+1 samples that is shorter than the channel impulse response. The paper analyzes the two families of TEQ design methods amenable to cost-effective real-time implementation: minimum mean squared error (MMSE) and maximum shortening SNR (MSSNR) methods. For infinite length TEQs, we prove that MMSE target impulse responses are symmetric and have all ν zeros on the unit circle, and MSSNR TEQs have ν of their zeros on the unit circle. Consequently, finite-length MMSE and MSSNR TEQs eventually yield increasing bit error rates (for broadcast systems) or decreasing bit rates (for point-to-point systems that allow bit allocation) with increasing filter length.

Published in:

Signal Processing Advances in Wireless Communications, 2003. SPAWC 2003. 4th IEEE Workshop on

Date of Conference:

15-18 June 2003

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