2005Unpublished venueRequires access

Efficient algorithm for sensitivity analysis of nonuniform transmission lines

Emad Gad, Michel S. Nakhla

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Abstract

A new orthogonalization algorithm is presented for sensitivity analysis techniques based on the integrated congruence transform. The proposed technique does not require sensitivity moments to be computed explicitly to generate an orthogonal basis that spans their subspace. The proposed algorithm can be used to construct an orthogonal basis for a general set of elements in Hilbert space related through an inhomogeneous differential operator. Simulation results demonstrate improved numerical accuracy by using the new orthogonalization technique.

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What this paper is about

A new orthogonalization algorithm is presented for sensitivity analysis techniques based on the integrated congruence transform. The proposed technique does not require sensitivity moments to be computed explicitly to generate an orthogonal basis that spans their subspace. The proposed algorithm can be used to construct an orthogonal basis for a general set of elements in Hilbert space related through an inhomogeneous differential operator. Simulation results demonstrate improved numerical accuracy by using the new orthogonalization technique.

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Available abstract

A new orthogonalization algorithm is presented for sensitivity analysis techniques based on the integrated congruence transform. The proposed technique does not require sensitivity moments to be computed explicitly to generate an orthogonal basis that spans their subspace. The proposed algorithm can be used to construct an orthogonal basis for a general set of elements in Hilbert space related through an inhomogeneous differential operator. Simulation results demonstrate improved numerical accuracy by using the new orthogonalization technique.

Key concepts: Orthogonalization, Algorithm, Orthogonal basis, Subspace topology, Sensitivity (control systems), Orthogonality, Basis (linear algebra), Hilbert space

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