Question

Consider the impedance function Z(s)=(s^2+6s+8)/(s^2+3s). Find the first reminder obtained by taking the continued fraction expansion after performing the second Cauer form.

(a) 10s/3+s^2

(b) s/3+s^2

(c) 10s/3+3s^2

(d) s/3+3s^2

Answer 1

Right answer is (a) 10s/3+s^2

To explain I would say: On performing the continued fraction expansion after arranging the numerator and denominator polynomials of Z(s) in ascending powers of s, the first reminder is 10s/3+s^2.