Synthesis of static and dynamic multiple-input translinear element networks

In this paper, we discuss the process of synthesizing static and dynamic multiple-input translinear element (MITE) networks systematically from high-level descriptions given in the time domain, in terms of static polynomial constraints and algebraic differential equations. We provide several examples, illustrating the process for both static and dynamic system constraints. Although our examples will all involve MITE networks, the early steps of the synthesis process are equally applicable to the synthesis of static and dynamic translinear-loop circuits.

[1]  Bradley A. Minch.  Synthesis of dynamic multiple-input translinear element networks , 2000, 2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353).

[2]  Paul Hasler,et al.  Multiple-input translinear element networks , 2001 .

[3]  Michael F. Singer,et al.  A differentially algebraic elimination theorem with application to analog computability in the calculus of variations , 1985 .

[4]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[5]  Bradley A. Minch,et al.  Construction and transformation of multiple-input translinear element networks , 2003 .

[6]  J. Mulder,et al.  Dynamic translinear circuits-an overview , 1997, 1997 2nd IEEE-CAS Region 8 Workshop on Analog and Mixed IC Design.

[7]  Lee A. Rubel,et al.  A survey of transcendentally transcendental functions , 1989 .

[8]  B. A. Minch.  Multiple-input translinear element log-domain filters , 2001 .

[9]  E. Seevinck.  Analysis and synthesis of translinear integrated circuits , 1988 .

[10]  Jan Mulder.  Dynamic Translinear and Log-Domain Circuits: Analysis and Synthesis , 1998 .

[11]  Paul Hasler,et al.  Multiple-input translinear element networks , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).