Title :
z-domain synthesis of discrete-time reactance functions
Author :
Ismail, Mohammed ; Larsen, Frode
Author_Institution :
Dept. of Electr. Eng., Ohio State Univ., Columbus, OH, USA
fDate :
4/1/1992 12:00:00 AM
Abstract :
Discrete-time images of lossless LC one-port ladder networks are presented. Such images are obtained by expanding discrete-time reactance functions into z-domain continued fractions to obtain the discrete-time counterparts of Cauer-1, Cauer-2, and mixed-Cauer expansions. A methodology for synthesis of discrete-time reactance functions similar to the one known for the synthesis of a continuous-time reactance function in the s-domain is presented. The type of reactance functions used is related to the continuous-time counterpart by the lossless-discrete-integrator (LDI) s-to-z transform. Simple first- and second-order discrete-time reactance networks using delay elements, multipliers, and adders are proposed and used in a step-by-step procedure to realize higher-order networks. The methodology is valid for any discrete-time reactance function using any of the three z-domain Cauer expansions, giving rise to three different ladder structures. An algorithm for the computer implementation of the synthesis procedure is developed and a BASIC listing is given
Keywords :
BASIC listings; circuit CAD; digital filters; ladder networks; polynomials; switched capacitor filters; BASIC listing; Cauer-1; Cauer-2; adders; computer implementation; delay elements; discrete-time reactance functions; filter design; lossless LC one-port ladder networks; lossless-discrete-integrator; mixed-Cauer expansions; multipliers; s-to-z transform; synthesis procedure; z-domain continued fractions; z-domain synthesis; Adders; Circuit synthesis; Circuit theory; Digital filters; Discrete transforms; H infinity control; Hardware; Network synthesis; Passive networks; Polynomials;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on