By Remco J. Wiegerink
This ebook has its roots in an concept first formulated through Barrie Gilbert in 1975. He confirmed how bipolar analog circuits can discover nonlinear and computational services. This prolonged the analog paintings from linear to nonlinear purposes, for that reason the identify trans linear circuits. not just did this new precept permit marvellous sign processing services to be thoroughly carried out, but additionally the circuits have been basic and sensible. The perennial difficulties of analog Ie layout, particularly temperature sensitivity, processing unfold, gadget nonlinearity and paracitic capacitance have been solved to a wide quantity. utilizing the trans linear precept in circuit layout calls for altering your standpoint in methods. First, the grossly nonlinear attribute of transistors is considered as an asset instead of as a dangerous estate. moment, not are the signs represented via voltages, yet by way of currents. actually, the attendant voltage alterations are distorted yet, as they're very small, they're in basic terms of secondary curiosity. knowing and examining a given trans linear circuit in all fairness uncomplicated. yet what concerning the speak scenario: think you are given a few nonlinear or computational functionality to enforce? how to define an appropriate translinear circuit awareness? the overall challenge of analog circuit synthesis is a tricky one and is receiving a lot awareness these days. a few years in the past, I had the chance to enquire tools for designing bipolar trans linear circuits. It grew to become out that translinear networks have a few distinctive topological houses. utilizing those houses it used to be attainable to set up heuristic synthesis procedures.
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Additional info for Analysis and Synthesis of MOS Translinear Circuits
Now it is possible to open the translinear loop by turning off the extra transistors. The response of the circuit is then no longer defined by the translinear loop equation. An application is the minimum selector circuit shown in fig. 3-21 . For this circuit the loop equation is given by: (3-32) However, eqn. (3-32) is only valid if all transistors are conducting, in which case the output current Jout is equal to input current Iin2 .
And having even numbers o/branches in all loops. The number of directed TL graphs is much larger than the number of undirected TL graphs because each undirected graph leads to a group of directed graphs if an orientation is assigned to the branches. The number of independent loops I of a graph can be expressed in terms of the number of branches b and the number of nodes n as follows : (3-1) l=b-n+1 (a) 2 3 2 3 (c) fig. 3-1 A simple MOS translinear network (a) and its corresponding undirected (b) and directed (c) TL graphs.
I. Wiegerink, "Generalized translinear circuit principle", IEEE J. Solid-State Circuits, Vol. SC-26, pp. 1098-1102, 1991.  B. Gilbert, "Translinear circuits: a proposed classification", Electron. , Vol. , p. 136.  E. F. Wassenaar, "A versatile CMOS linear trans conductor! square-law function circuit", IEEEJ. Solid-State Circuits, Vol. SC-22, pp. 366- 377, 1987.  H. Wallinga and K. Bult, "Design and analysis of CMOS analog signal processing circuits by means of a graphical MOST model", IEEE J.
Analysis and Synthesis of MOS Translinear Circuits by Remco J. Wiegerink