Method for the rapid estimation of figures of merit for multiple devices based on nonlinear modeling
First Claim
1. A method of estimating a figure of merit for a nonlinear device under test, comprising:
- developing from a first sub-sampling of input signals and corresponding output signals for said device a nonlinear behavioral model fitted mathematical function for said device containing terms depending on linear and nonlinear combinations of said input signals and linearly on a set of parameter coefficients;
deriving from said nonlinear behavioral model fitted mathematical function a figure of merit having terms depending on linear and nonlinear combinations of said input signals and linearly on a set of parameter coefficients;
before said nonlinear behavioral model is applied, pre-computing in advance for a substantially fixed value of said input signal all terms in said nonlinear model that depend on nonlinear combinations of said input signals; and
evaluating said parameter coefficients, such that said nonlinear behavioral model is optimized.
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Abstract
A system and a general method estimate figures of merit based on nonlinear modeling and nonlinear time series analysis. Terms in a nonlinear behavioral model that depend on nonlinear combinations of a fixed input signal value are precomputed, optimizing the behavioral model such that figures of merit are evaluated from a single short stimulus vector. The optimized nonlinear behavioral model can then be applied to evaluate figures of merit for multiple devices under test (DUTs) in a manufacturing line. A process continually verifies and adjusts the nonlinear behavioral model based on sub-sampling multiple DUTs in a manufacturing line and comparing their figures of merit based on nonlinear modeling with those based on conventional measurement procedures.
19 Citations
20 Claims
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1. A method of estimating a figure of merit for a nonlinear device under test, comprising:
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developing from a first sub-sampling of input signals and corresponding output signals for said device a nonlinear behavioral model fitted mathematical function for said device containing terms depending on linear and nonlinear combinations of said input signals and linearly on a set of parameter coefficients;
deriving from said nonlinear behavioral model fitted mathematical function a figure of merit having terms depending on linear and nonlinear combinations of said input signals and linearly on a set of parameter coefficients;
before said nonlinear behavioral model is applied, pre-computing in advance for a substantially fixed value of said input signal all terms in said nonlinear model that depend on nonlinear combinations of said input signals; and
evaluating said parameter coefficients, such that said nonlinear behavioral model is optimized. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
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12. A system for estimating a figure of merit for a nonlinear device under test, comprising:
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an excitation signal generating module operable to apply a plurality of input signals to an input port of said nonlinear device;
a data acquisition module operable to sample said plurality of input signals and to measure a plurality of output signals generated by said nonlinear device in response to said plurality of input signals; and
a signal processing computer operable to create from a sub-sampling of said plurality of input and output signals an embedded data set and further operable to fit a nonlinear behavioral model function to said embedded data set, and operable to compute at least one figure of merit using said nonlinear behavioral model function. - View Dependent Claims (13, 14, 15, 16, 17, 18)
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19. A system for estimating a figure of merit for a nonlinear device under test, comprising:
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an excitation signal generating module operable to apply a plurality of input signals to an input port of said nonlinear device;
a data acquisition module operable to sample said plurality of input signals and to measure a plurality of output signals generated by said nonlinear device in response to said plurality of input signals; and
a signal processing computer operable to create from a sub-sampling of said plurality of input and output signals an embedded data set and further operable to fit a nonlinear behavioral model function to said embedded data set, wherein said function contains terms depending on parameter coefficients and on linear and nonlinear combinations of said input signals and/or time derivatives of said input signals. - View Dependent Claims (20)
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Specification