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Consider the following statements: 1. The coefficients in the polynomials p(s) and q(s) must be real and positive. 2. Poles and zeroes of z(s) must be conjugate if imaginary or complex. Which of these statements are associated with the driving point function \(Z(s) = \frac{{p(s)}}{{q(s)}}\) ?

Consider the following statements: 1. The coefficients in the polynomials p(s) and q(s) must be real and positive. 2. Poles and zeroes of z(s) must be conjugate if imaginary or complex. Which of these statements are associated with the driving point function \(Z(s) = \frac{{p(s)}}{{q(s)}}\) ? Correct Answer Both 1 and 2

The restrictions on pole and zero locations in the Conditions For Driving Point Function with common factors in P(s) and Q(s) are listed below.

1. The coefficients in the polynomials P(s) and Q(s) of network function N(s) = P(s)/Q(s) must be real and positive.

2. Complex poles or imaginary poles and zeros must occur in conjugate pairs.

3. (a) The real parts of all poles and zeros must be zero, or negative. (b) If the real part is zero, then the pole and zero must be simple.

4. The polynomials P(s) and Q(s) may not have any missing terms between the highest and the lowest degrees unless all even or all odd terms are missing.

5. The degree of P(s) and Q(s) may differ by zero, or one only.

6. The lowest degree in P(s) and Q(s) may differ in degree by at the most one.

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