THE USE OF LINEAR-PROGRAMMING FOR THE DESIGN OF SAW FILTERS AND FILTERBANKS

A linear programming algorithm is proposed for designing surface acous tic wave (SAW) filters or filterbanks with arbitrary amplitude and pha se responses. A modified sampling theorem representation is employed f or the transducer frequency responses which allows the number of indep endent variables to be minimized without degrading the filter characte ristics. The method can also be used as part of an iterative procedure to generate optimal corrections for second order effects such as diff raction and circuit loading. A simplified algorithm for this procedure is given, and the method is illustrated with theoretical and experime ntal data from a three channel contiguous SAW filterbank design. Altho ugh the method given in this paper is formulated primarily for SAW fil ters, it is equally applicable to FIR digital filter design.