Abstract: A modeling system 10 comprises a central processing unit 12 coupled to an arithmetic logic unit 16. A device testing system 18 is used to empirically analyze the operational characteristics of a transistor to be modeled by the system 10. A set of parameter values are stored in a memory circuit 14 coupled to central processing unit 12. An input and display system 20 is used to interact with the central processing unit 12. The central processing unit 12 uses the arithmetic logic unit 16 to calculate an objective function which is essentially a measure of the error between the measured values of operating variables of the device to be modeled and theoretical values of the operating variables calculated using initial guesses of modeling parameters. The objective function is minimized by calculating the gradient of the objection function to obtain a next guess point with its associated parameter values.

Abstract: A modeling system 10 comprises a central processing unit 12 coupled to an arithmetic logic unit 16. A device testing system 18 is used to imperically analyze the operational characteristics of a transistor to be modeled by the system 10. A set of parameter values are stored in a memory circuit 14 coupled to central processing unit 12. An input and display system 20 is used to interact with the central processing unit 12. The central processing unit 12 uses the arithmetic logic unit 16 to calculate an objective function which comprises a sum of a plurality of two types of terms. The first term within the objective function utilizes relative weighting with respect to the values of the remaining terms while the second type of term utilizes absolute weighting with respect to the remaining terms. Both types of terms are normalized such that they are of substantially equal significance during the calculation of the objective function.

Abstract: A modeling system 10 comprises a central processing unit 12 coupled to an arithmetic logic unit 16. A device testing system 18 is used to empirically analyze the operational characteristics of a transistor to be modeled by the system 10. A set of parameter values are stored in a memory circuit 14 coupled to central processing unit 12. An input and display system 20 is used to interact with the central processing unit 12. The central processing unit 12 uses the arithmetic logic unit 16 to calculate an objective function which is essentially a measure of the error between the measured values of operating variables of the device to be modeled and theoretical values of the operating variables calculated using initial guesses of modeling parameters. The objective function is minimized by calculating the gradient of the objection function to obtain a next guess point with its associated parameter values.