Statistical analysis of coupled circuit-electromagnetic systems
First Claim
1. A method for determining a probability density function (PDF) of at least one performance metric in regard to an electromagnetic (EM) component of an electronic device or system, comprising the steps of:
- (a) providing variability information as an input to a simulation of the EM component, for each randomly varying parameter to be considered in determining the PDF for the at least one performance metric, wherein the variability information for each randomly varying parameter comprises a range and a nominal value for the randomly varying parameter, and wherein the simulation is executed by a processor;
(b) for all of the randomly varying parameters to be considered, using the simulation executed by the processor to generate a response surface, wherein the response surface is defined over a statistical range for the randomly varying parameter, and as a function of a related variable on which the performance metric is dependent;
(c) using a random vector generator executed by the processor to produce probabilities that the randomly varying parameter will be within each of a plurality of different incremental portions of the range provided in step (a), wherein the random vector generator employs a correlation matrix that correlates values of the randomly varying parameter with the related variable;
(d) extracting the related variable from the response surface, based upon the probabilities of the randomly varying parameter; and
(e) determining the PDF for each performance metric evaluated in regard to the EM component, as a function of the probabilities of each randomly varying parameter, relative to the related variable.
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Abstract
A method and system for combining the process variations in circuits and distributed interconnect-based electromagnetic (EM) objects in order to capture a statistical behavior of overall circuit performance parameters. In an exemplary approach, a coupled circuit-EM system is decoupled at the points where the EM objects connect to the circuit portion, and circuit ports are defined at those points. The sources of variation are identified and used to determine Y-parameters for the ports with EM elements and for all EM elements based on the SPICE-like and EM full-wave simulations. A response surface is generated for each variable and is used to extract circuit and EM parameters by generating many random vectors representing combinations of the random variables. These Y-parameters are merged to produce a probability density function (PDF) of one or more performance metrics for the electronic device or system.
13 Citations
21 Claims
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1. A method for determining a probability density function (PDF) of at least one performance metric in regard to an electromagnetic (EM) component of an electronic device or system, comprising the steps of:
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(a) providing variability information as an input to a simulation of the EM component, for each randomly varying parameter to be considered in determining the PDF for the at least one performance metric, wherein the variability information for each randomly varying parameter comprises a range and a nominal value for the randomly varying parameter, and wherein the simulation is executed by a processor; (b) for all of the randomly varying parameters to be considered, using the simulation executed by the processor to generate a response surface, wherein the response surface is defined over a statistical range for the randomly varying parameter, and as a function of a related variable on which the performance metric is dependent; (c) using a random vector generator executed by the processor to produce probabilities that the randomly varying parameter will be within each of a plurality of different incremental portions of the range provided in step (a), wherein the random vector generator employs a correlation matrix that correlates values of the randomly varying parameter with the related variable; (d) extracting the related variable from the response surface, based upon the probabilities of the randomly varying parameter; and (e) determining the PDF for each performance metric evaluated in regard to the EM component, as a function of the probabilities of each randomly varying parameter, relative to the related variable. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A system for determining a probability density function (PDF) of at least one performance metric in regard to an electromagnetic (EM) component of an electronic device or system, comprising:
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(a) a memory for storing machine executable instructions, and variability information for each randomly varying parameter to be considered in determining the PDF for the at least one performance metric, the variability information for each randomly varying parameter comprising a range and a nominal value for the randomly varying parameter; (b) an output device for presenting the PDF of the at least one performance metric to a user; and (c) a processor that is coupled to the memory and the output device, the processor executing the machine executable instructions to carry out a plurality of functions, including; (i) accessing the variability information as an input to a simulation of the EM component; (ii) for all of the randomly varying parameters to be considered, using the simulation to generate a response surface, wherein the response surface is defined over a statistical range for the randomly varying parameter, and as a function of a related variable on which the performance metric is dependent; (iii) executing a random vector generator to produce probabilities that the randomly varying parameter will be within each of a plurality of different incremental portions of the range, wherein the random vector generator employs a correlation matrix that correlates values of the randomly varying parameter with the related variable; (iv) extracting the related variable from the response surface, based upon the probabilities of the randomly varying parameter; and (v) determining the PDF for each performance metric evaluated in regard to the EM component, as a function of the probabilities of each randomly varying parameter, relative to the related variable. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20, 21)
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Specification