CONCEPTUAL TOOLS

By:  Neil E. Cotter

Laplace transform

 

 

Poles and zeros

 

 

Pole location vs t form

 

 

 

 
 
 

 

Tool:        A pole location in the s-domain corresponds to a specific exponential function in the t-domain.

Tool:        A pole location repeated n times in the s-domain corresponds to tn-1/(n-1)! times a specific exponential function in the t-domain.

Pict:          The diagram below shows t-domain waveforms versus pole positions in the s-domain.