Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression
Reexamination Certificate
2006-11-28
2006-11-28
Paladini, Albert W. (Department: 2125)
Data processing: structural design, modeling, simulation, and em
Modeling by mathematical expression
C700S032000
Reexamination Certificate
active
07143015
ABSTRACT:
The disclosure describes techniques for determining the response characteristics of a system. One such technique includes applying a series of M vector probe input signal sets of a form {overscore (V)}mx(t) to the system, wherein {overscore (V)}mis an m-th column of a matrix V and x(t) is a scalar input signal. The response signals {overscore (y)}tare measured and a single-input system {overscore (F)}m(z) is determined by considering the approximate relationship {overscore (y)}z≈{overscore (F)}m(z)x(z), where {overscore (F)}m(z) is an m-th column of a matrix F(z). The system characteristics can be determined from the relationship H(z)=F(z)V−1, where V−1denotes the right-matrix-inverse of the matrix V. The matrix V may be a matrix with mutually orthogonal rows, or may have entries consisting of plus one and minus one values, or may be a portion of a Hadamard matrix.
REFERENCES:
patent: 6519738 (2003-02-01), Derby
patent: 6532256 (2003-03-01), Miller
patent: 6560493 (2003-05-01), Dahleh et al.
patent: 6801086 (2004-10-01), Chandrasekaran
BBN Technologies Corp.
Fish & Neave IP Group Ropes & Gray LLP
Paladini Albert W.
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