Optimal design of an inductor and inductor circuit
AssigneeThe Board of Trustees of the Leland Stanford Junior University
InventorsMaria del Mar Hershenson, Stephen P. Boyd, Sunderarajan S. Mohan
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Abstract
A method for the design and optimization of inductors for RF circuits. This method consists in the formulation of RF circuit designs as geometric programs. The designer can specify a wide variety of specifications such as gain, bandwidth, noise, etc. The method, which was implemented in simple code, determines inductor dimensions and component values in a few seconds real-time. The results was also a globally optimal design.
Claims31
A method for designing an inductor comprising the steps of:
- representing the inductor as an equivalent circuit having a plurality of lumped parameters including a parameter for inductance;
- representing each of the lumped parameters as a first posynomial expression, the expression for inductance having at least one term for a physical dimension and another term for number of turns;
- expressing one or more characteristics of the inductor as second posynomial expressions with a constraint based on the first posynomial expressions;
- and
- solving in a computer the second posynomial expressions with the constraint as a geometric program;
- outputting from the computer at least one physical dimension or the number of turns for use in fabricating an inductor.
A method for optimizing an integrated circuit inductor comprising the steps of:
- representing the inductor as a plurality of first posynomial expressions which include process dependent terms and a first monomial expression for inductance which only includes terms which are layout dependent;
- selecting at least one characteristic of the inductor which is to be optimized;
- expressing the optimized characteristic as a posynomial inequality using the first posynomial expression and second monomial expression third;
- and solving the posynomial inequality as a convex geometric program in a computer:
- outputting from the computer at least one specific dimension in the layout of the inductor for use in fabricating the inductor.
A method for optimizing the performance of a circuit which includes an inductor comprising the steps of:
- representing the circuit including the inductor as an equivalent circuit having a plurality of lumped parameters including a parameter for inductance;
- representing each of the lumped parameters as a first posynomial expression, the parameters for inductance having at least one term for a physical dimension and another term for a number of turns;
- expressing one or more characteristics of the circuit as a second posynomial inequality based on the first expressions;
- and
- solving the second posynomial inequality as a geometric program in a computer;
- outputting from the computer at least one physical dimension or the number of turns of the fabrication of the inductor.
Dependencies are inferred from the claim text.