A STRATEGY FOR IMPROVING THE LAGUERRE MODEL

To look at the influence of disturbances on the estimated Laguerre coefficients in the time domain, we rewrite the estimate of the ith coeifficient in Equation (2.72) as 

The weighting functions can be basically divided into three intervals with respect to the normalized time domain axis. The first time interval starts from pt = 0 and ends at the time that the weighting function makes 

For high order processes, the process response is often close to zero for an initial period referred to as an apparent delay, and therefore the same procedure can be applied. For low order processes with no time delay, a 

Noise-Free Case No Pretreatment With Pretreatment 

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