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Erschienen in:
1996 | OriginalPaper | Buchkapitel
The approximation
verfasst von : Kendall L. Su
Erschienen in: Analog Filters
Verlag: Springer US
Enthalten in: Professional Book Archive
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As was mentioned in Chapter 1, the first step in the design of a normalized filter is to find a magnitude characteristic, ǀH(jω)ǀ, such that the set of specifications of an application is satisfied. Usually it is more convenient to deal with ǀH(jω)ǀ2 instead. As should be well known to the reader, a network function, H(s) must be a real rational function in s (the ratio of two polynomials with real coefficients), ǀH(jω)ǀ2 can be obtained by$$ \mathop {\left. {\mathop {\left| {H(jw)} \right|}\nolimits^2 = H(s)H( - s)} \right|}\nolimits_{s = jw} = H(jw)H( - jw) = H(jw)H^*(jw){\rm} (2.1) $$