... S.U.H., Adaptive equalization,Proc. IEEE,73(9), 1349–1387, Sept. 1985.c1999 by CRC Press LLC 18 Introduction to Adaptive Filters Scott C. DouglasUniversity of Utah 18. 1 What is an Adaptive ... Utah 18. 1 What is an Adaptive Filter? 18. 2 The Adaptive Filtering Problem 18. 3 Filter Structures 18. 4 The Task of an Adaptive Filter 18. 5 Applications of Adaptive Filters System Identification•Inverse ... 1. (18. 17)Taking derivatives of JMSE(n) in (18. 16) and noting that e(n) and y(n) aregiven by (18. 1) and (18. 5),respectively, we obtain∂JMSE(n)∂wi(n)= Ee(n)∂e(n)∂wi(n) (18. 18)=−Ee(n)∂y(n)∂wi(n) (18. 19)=−E{e(n)x(n...