ADAPTIVE FILTER

ADAPTIVE FILTERSUBMITTED BYINTRODUCTIONUsed for systems in which second order statistics are unknown.Filters with adjustable coefficients.Two algorithms used are Least mean square algorithm & Recursive least squares algorithm

ApplicationsCommunication system- equalization of inter symbol interference and channel identification.

Adaptive antenna systems.

Control system: To estimate characteristics of unknown systems.

Direct form adaptive FIR filter

System modeling

We define the error signal as

Output of filter modeln=0,1,..

Select h(k) to minimize N+1 is the number of observations

l=0,1,..,M-1System identification using adaptive filter