Title :
Formal synthesis of circuits using linear matrix inequalities
Author :
Harrison, Jeffrey
Author_Institution :
Nat. Innovation Centre, g2 Microsystems, Eveleigh, NSW, Australia
Abstract :
An algorithm is presented for synthesizing a linear time-invariant n-port with given impedance matrix at a set of frequencies, from ideal transformers and multiple instances of a given set of devices. The key step is to solve a linear matrix inequality which is based on the Pick matrix of Nevanlinna-Pick interpolation, extended to include reciprocity and multiple arbitrary types of device.
Keywords :
impedance matrix; interpolation; linear matrix inequalities; multiport networks; network synthesis; Nevanlinna-Pick interpolation; Pick matrix; ideal transformers; impedance matrix; linear matrix inequalities; linear time-invariant n-port circuit synthesis; multiple arbitrary device types; reciprocity; Circuit synthesis; Circuit topology; Frequency synthesizers; Impedance; Integrated circuit synthesis; Interpolation; Linear matrix inequalities; Network synthesis; Transformers; Upper bound;
Conference_Titel :
Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on
Print_ISBN :
0-7803-8834-8
DOI :
10.1109/ISCAS.2005.1464567
