Abstract: A method is described. The method includes calculating electric and/or magnetic fields in free space in response to: i) respective positions and motions of one or more charges and/or one or more current loops in the free space; ii) charges on nodes in the electrical circuit in the free space; iii) charge motions in the electrical circuit. The method includes calculating new respective positions and motions of the one or more charges and/or one or more current loops in the free space in response to respective forces applied to the one or more charges and/or the one or more current loops by the electric and/or magnetic fields. The method includes calculating new charges on nodes within the electrical circuit and new charge motions within the electrical circuit in response to the new positions and motions of the one or more charges and/or one or more current loops in free space, the charges on the nodes in the electrical circuit and the charge motions in the electrical circuit.

Abstract: A method is described. The method includes calculating electric and/or magnetic fields in free space in response to: i) respective positions and motions of one or more charges and/or one or more current loops in the free space; ii) charges on nodes in the electrical circuit in the free space; iii) charge motions in the electrical circuit. The method includes calculating new respective positions and motions of the one or more charges and/or one or more current loops in the free space in response to respective forces applied to the one or more charges and/or the one or more current loops by the electric and/or magnetic fields. The method includes calculating new charges on nodes within the electrical circuit and new charge motions within the electrical circuit in response to the new positions and motions of the one or more charges and/or one or more current loops in free space, the charges on the nodes in the electrical circuit and the charge motions in the electrical circuit.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: Methods for optimizing design parameters of a circuit are disclosed. In one aspect, an optimization problem includes one or more performance specifications that represent an exponent of a design parameter to be optimized. Various parameters of passive and active circuit devices may be efficiently and accurately optimized as a result. In another aspect, linear performance specifications are included for accurately calculating voltages. In yet other aspects of the invention, three special types of convex optimization problems are disclosed for enabling the above use of exponents of design parameters which provide efficient and accurate calculations of a virtually unlimited array of circuit parameters and performance characteristics.

Abstract: A method is described that involves recognizing that a variable within a monomial or posynomial expression for a characteristic of an analog or mixed signal system has a dependency on a lower level expression. Then, retrieving from a database the lower level expression and substituting it into the expression in place of the variable so as to describe the system at a greater level of detail than the variable did.

Abstract: A method is described that involves developing a more detailed description of a phase lock loop system by substituting, into a monomial or posynomial equation that is part of a family of monomial and posynomial expressions that describe functional characteristics of the PLL at the system level, a lower level expression that describes a characteristic of one the PLL's basic building blocks.

Abstract: A method is described that involves developing a more detailed description of a phase lock loop system by substituting, into a monomial or posynomial equation that is part of a family of monomial and posynomial expressions that describe functional characteristics of the PLL at the system level, a lower level expression that describes a characteristic of one the PLL's basic building blocks.

Abstract: A method is described that involves recognizing that a variable within a monomial or posynomial expression for a characteristic of an analog or mixed signal system has a dependency on a lower level expression. Then, retrieving from a database the lower level expression and substituting it into the expression in place of the variable so as to describe the system at a greater level of detail than the variable did.