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On the application of the Cramer-Rao and detection theory bounds to mean square error of symbol timing recovery

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2 Author(s)
White, S.C. ; Dept. of Electr. Eng., Queen''s Univ., Kingston, Ont., Canada ; Beaulieu, N.C.

A modified Cramer-Rao bound is derived that takes account of the fact that the symbol timing estimate is restricted to a finite interval of one symbol duration. A detection theory bound is also applied to the symbol timing problem. Results obtained using the Cramer-Rao and detection theory bounds are compared. It is shown that the detection theory bound is superior to the traditionally used Cramer-Rao bound. In particular, the detection theory bound gives useful results for sharp pulse shapes and shows a dependence of the mean square error on the data sequence. It also yields meaningful results for small signal-to-noise ratios

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Communications, IEEE Transactions on  (Volume:40 ,  Issue: 10 )