Apparatus and method for reduced-order modeling of time-varying systems and computer storage medium containing the same
AssigneeAgere Systems Inc.
InventorJaijeet S. Roychowdhury
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Abstract
An apparatus for, and method of, modeling a time-varying system and a computer-readable storage medium containing the apparatus or the method. In one embodiment, the apparatus includes: (1) a transfer function generator that develops, for the system, a linear, time-varying transfer function of a particular order and having separate scales corresponding to time variations in the system and an input thereto and (2) an approximator, coupled to the transfer function generator, that approximates the transfer function to yield a model of an order lower than the particular order.
Claims21
An apparatus for modeling a time-varying system, comprising:
- a transfer function generator that generates, for said system, a reducible, linear time-varying transfer function based on t1 and s where a characteristic model is constructed based on
- {circumflex over (Z)}(t1, s)=H(t1, s)U(s)
- having separate scales corresponding to time variations in said system and an input signal;
- and
- an approximator, coupled to said transfer function generator, that approximates said transfer function to yield a model having a lower order than an order of said transfer function.
A method of modeling a time-varying system, comprising:
- generating, for said system, a reducible, linear time-varying transfer function based on t1 and s where a characteristic model is constructed based on
- {circumflex over (Z)}(t1, s)=H(t1, s)U(s)
- having separate scales corresponding to time variations in said system and an input signal;
- and
- approximating said transfer function to yield a model having a lower order than an order of said transfer function.
A computer-readable storage medium having instructions thereon that cause a computer to:
- generate, for said system, a reducible, linear time-varying transfer function based on t1 and s where a characteristic model is constructed based on
- {circumflex over (Z)}(t1, s)H(t1, s)U(s)
- having separate scales corresponding to time variations in said system and an input signal;
- and
- approximate said transfer function to yield a model having a lower order than an order of said transfer function.
Dependencies are inferred from the claim text.