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Consider the following statements: They are given as necessary conditions for driving point functions with common factors in p(s) and q(s) cancelled: 1. The coefficients of the polynomial p(s) and q(s) must be real. 2. Poles and zeroes must be conjugate pairs if imaginary or complex. 3. The terms of lowest degree in p(s) and q(s) may differ in degree be one at most. Which of the above statements is/are correct?

Consider the following statements: They are given as necessary conditions for driving point functions with common factors in p(s) and q(s) cancelled: 1. The coefficients of the polynomial p(s) and q(s) must be real. 2. Poles and zeroes must be conjugate pairs if imaginary or complex. 3. The terms of lowest degree in p(s) and q(s) may differ in degree be one at most. Which of the above statements is/are correct? Correct Answer 1, 2 and 3

The restrictions on pole and zero locations in the conditions for Driving Point Function with common factors in P(s) and Q(s) canceled 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.

Related Questions

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