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MMSE decision-feedback equalizers: finite-length results

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2 Author(s)
Al-Dhahir, N. ; Inf. Syst. Lab., Stanford Univ., CA, USA ; Cioffi, J.M.

This paper extends a number of results on the infinite-length minimum-mean-square-error decision Feedback equalizer (MMSE-DFE) reported by Cioffi, Dudevoir, Eyuboglu and Forney (see IEEE Trans. Commun., 1995) to the finite-length case. Cholesky factorization and displacement structure theory are demonstrated to be two powerful analytical tools for analyzing the finite-length MMSE-DFE. Our objective throughout the paper is to establish finite-length analogs of the well-known infinite-length MMSE-DFE results. Similarities and differences between the two cases are examined and delineated. Finally, convergence of our derived finite-length results to their well-established infinite-length counterparts is shown

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Information Theory, IEEE Transactions on  (Volume:41 ,  Issue: 4 )