Abstract
Constantinides [1] gave a method of transforming a prototype low-pass digital filter into a high-pass, bandpass, or bandstop filter by conformally mapping the complex variable Z <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">-1</sup> . We generalize here his method to transformations from prototype low-pass filters to filters containing any number of pass- and stopbands. The computation procedure involves only the solution of a set of simultaneous linear equations, the number of which is related only to the number of band-edges and not to the order of the prototype filter.
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