Abstract
For the first time, the new class of filter transfer functions, called Chained Functions is described, in detail. With Chained functions, one may define a new polynomial generating function that is given by the product of a combination of low order functions, called seed functions. The chained function concept provides with a variety of transfer functions, having the same order but different frequency-domain, time-domain and implementation characteristics. When compared to the conventional Chebyshev approximation, reduced sensitivity to manufacturing errors, lower resonator unloaded-Q requirements and, consequently, lower filter losses can be achieved by selecting the appropriate seed function combination for a given implementation technology. This can be achieved with out-of-band rejection levels ranging from those associated with Butterworth to pseudo-Chebyshev. Theoretical and experimental comparisons with conventional Chebyshev filter characteristics, presented in this thesis, demonstrate the advantages and disadvantages of this new family of filter transfer functions.