Statistical Performance Analysis and Modeling Techniques for Nanometer VLSI Designs by Ruijing Shen Sheldon X.-D. Tan & Hao Yu

Author:Ruijing Shen, Sheldon X.-D. Tan & Hao Yu
Language: eng
Format: epub
Publisher: Springer US, Boston, MA

(10.7)

where superscript H denotes Hermitian transpose. Let ω k be the kth sampling point. If we define

(10.8)

then based on the numerical quadrature rule, X can be approximated as [134]:

(10.9)

where Z = [z 1, z 2, …, z n ]. W is a diagonal matrix with diagonal entries . w k comes from a specific numerical quadrature method. Since is symmetric, it is orthogonally diagonalizable:

(10.10)

where . converges to the eigenspaces of X, and the dominant eigenvectors can be used as the projection matrix in a model reduction approach .

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