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Q. Show Conjugate Complex Poles?
It is possible that some of the poles of Equation are complex. Since the coefficients ak in Equation are real, complex poles occur in complex conjugate pairs and will always be even in number. Let us consider a pair of complex poles for which case Equation may be written as
The procedure for finding K1 and K2 is the same as outlined earlier for unrepeated linear factors or simple poles. Thus we have
It can be shown that K1 and K2 are conjugates of each other. The terms in the time function, L-1 [F(s)], due to the complex poles of F (s), are then found easily.
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