EURASIP Journal on Applied Signal Processing, vol. 2003, no. 13, pp. 1279-1290, Dec. 1, 2003.

Efficient Channel Shortening Equalizer Design

Rick K. Martin (1), Ming Ding (2), Brian L. Evans (2), and C. Rick Johnson, Jr. (1)

(1) Department of Electrical and Computer Engineering, Rhodes Hall, Cornell University, Ithaca, NY 14853 USA -

(2) Department of Electrical and Computer Engineering, Engineering Science Building, The University of Texas at Austin, Austin, TX 78712-1084 USA -


ADSL Research at Cornell - ADSL Research at UT Austin


Time-domain equalization is crucial in reducing channel state dimension in maximum likelihood sequence estimation, and inter-carrier and inter-symbol interference in multicarrier systems. A time-domain equalizer (TEQ) placed in cascade with the channel produces an effective impulse response that is shorter than the channel impulse response. This paper analyzes two TEQ design methods amenable to cost-effective real-time implementation: minimum mean squared error (MMSE) and maximum shortening SNR (MSSNR) methods. We reduce the complexity of computing the matrices in the MSSNR and MMSE designs by a factor of 140 and a factor of 16 (respectively) relative to existing approaches, without degrading performance. We prove that an infinite length MSSNR TEQ with unit norm TEQ constraint is symmetric. A symmetric TEQ halves FIR implementation complexity, enables parallel training of the frequency-domain equalizer and TEQ, reduces TEQ training complexity by a factor of 4 and doubles the length of the TEQ that can be designed using fixed-point arithmetic, with only a small loss in bit rate. Simulations are presented for designs with a symmetric TEQ or target impulse response.

Last Updated 12/04/07.