The Classical Truncated Cosine Series Functions with Applications to SAW Filters

Window functions have been extensively used for the design of SAW filters. The classical truncated cosine series functions, such as the Hamming and Blackmann functions, are only a few of an infinite set of such functions. The derivation of this set of functions from orthonormal basis sets and the criteria for obtaining the constant coefficients of the functions are presented. The time and frequency domain characteristics of this set of functions are discussed, and applications for SAW Alter design, including windowing techniques, eigenfunction filter synthesis, and SAW filter modulators, are reviewed.