EET 300 Lecture Notes - Lecture 9: Ss 1, Derivative, Digital Signal 0
14 Dec 2018
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Most poles occurring in transforms of 1st order circuit responses are 1st order as well. However, sometimes multiple order poles (repeating poles) occur. The solutions of these types of poles require special treatment. 1 s lse in f everything e s besides s i. 1 (remember that the solution of other types of poles also required the transform to be multiplied by the term with the pole being worked on so as to remove it from the denominator. This is what happens here, leaving q(s) behind. ) A partial fraction expansion can be used to help solve this issue. The part of the response containing the multiple pole term will expand as follows: 1st of q( ) to solve n 1 s( s. 2n e of q( ) to solv n 2 s( s. Derivative nth of q( ) to solve s. The subscripts of the coefficients compared to the order of the term in its denominator.
