2-MITE Product-of-Power-Law Networks

A 2-MITE is a multiple-input translinear element with two input gates. In this paper, different properties of networks of 2-MITEs are derived, especially in the case of product-of-power-law (POPL) networks, in which the output currents are products of the inputs raised to different powers. It is found that conditions ensuring the uniqueness and stability of the operating point in 2-MITE networks are less stringent than those for MITE networks with higher number of input gates. This simplifies the synthesis of these networks considerably. A graph-theoretic approach to the analysis of 2-MITE networks is presented. Necessary conditions for a set of power-law equations to be implementable by 2-MITE networks are derived. Sufficient conditions for the same are presented for the case of POPL networks with one output

[1]  E. Kaszkurewicz,et al.  Matrix diagonal stability in systems and computation , 1999 .

[2]  Claude Berge,et al.  Graphs and Hypergraphs , 2021, Clustering.

[3]  David V. Anderson,et al.  Optimal Synthesis of MITE Translinear Loops , 2007, 2007 IEEE International Symposium on Circuits and Systems.

[4]  W. K. Chen Graph theory and its engineering applications , 1997 .

[5]  David V. Anderson,et al.  Synthesis of static multiple input multiple output MITE networks , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[6]  Bradley A. Minch,et al.  Adaptive translinear analog signal processing: a prospectus , 2003, The Thrity-Seventh Asilomar Conference on Signals, Systems & Computers, 2003.

[7]  B. A. Minch,et al.  Translinear circuits using subthreshold floating-gate MOS transistors , 1996 .

[8]  Bradley A. Minch,et al.  Analysis, synthesis, and implementation of networks of multiple-input translinear elements , 1997 .

[9]  Charles R. Johnson,et al.  Topics in Matrix Analysis , 1991 .

[10]  Bradley A. Minch,et al.  The translinear Principle: a General Framework for Implementing Chaotic oscillators , 2005, Int. J. Bifurc. Chaos.

[11]  Pamela Abshire,et al.  Adaptive log domain filters using floating gate transistors , 2004, 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512).

[12]  P. Hasler,et al.  Uniqueness of the operating point in MITE circuits , 2004, Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004..

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