On the design of wave digital filters with a minimal number of multipliers

A wave digital filter based on a transmission-line transformation which can be realized with a fewer number of multipliers than other proposed wave filters is presented. A procedure for the synthesis of a desired filter function is discussed wherein a frequency transformation becomes necessary for conversion to the digital sampling domain. The validity of this mapping and transfer relations of the wave filter and its corresponding transmission-line network are examined. The low sensitivity property of this wave digital filter is analytically examined. Finally, an example is presented to illustrate the desirable properties.