![]() The diagonal case makes clear that we do not want to define a pole or zero location of \(H(z)\) in the general case to be a frequency where all entries of \(H(z)\) respectively have poles or zeros. Transcribed image text: 4.10.6 A rational transfer function H(s) is often used to represent an analog filter. as needed to describe the pole at \(-0.5\) in the above example). those at \(-2\) in the above example), without any cancellation! Also note that a pole or zero is not necessarily characterized by a single multiplicity we may instead have a set of multiplicity indices (e.g. Note that in the MIMO case we can have poles and zeros at the same frequency (e.g. We would say that \(H(z)\) has poles of multiplicity 2 and 1 at \(z = -0.5\), and a pole of multiplicity 1 at \(z = -2\) and that it has zeros of multiplicity 1 at \(-2\), at \(z = 0\), and at \(z = \infty\). Under minimal supervision, directs the day-to-day health care functions of the community in accordance with current federal, state, and local standards, guidelines, and regulations that govern long-term care facilities to ensure the highest degree of quality care is provided to our residents at all times. factorization for right-invertible transfer functions is considered in 3,17 the article 5 treats the case of strictly proper transfer functions. ![]()
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