Multirate sampled-data systems analysis via vector operators

The primary difficulties of both the time-domain switch decomposition method and the frequency-domain decomposition method are overcome by introducing certain matrix operators and performing spectral factorization of resulting matrices of polynomials in the z -transform variable. Topological operati...

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Bibliographic Details
Published in:IEEE transactions on automatic control 1975-08, Vol.20 (4), p.548-551
Main Authors: Boykin, W., Frazier, B.
Format: Article
Language:English
Subjects:
Equations
Frequency domain analysis
Laboratories
Matrix decomposition
Military computing
Missiles
Polynomials
Sampling methods
Switches
Time domain analysis
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Summary:The primary difficulties of both the time-domain switch decomposition method and the frequency-domain decomposition method are overcome by introducing certain matrix operators and performing spectral factorization of resulting matrices of polynomials in the z -transform variable. Topological operations of the switch-decomposition method are simplified. This new approach eliminates the need to solve a system of equations with rational polynomial coefficients such as arises in the frequency-decomposition method. The determination of a multirate sampled-data system's characteristic polynomial no longer requires the evaluation of a determinant of rational polynomial elements. New results on obtaining modified z -transforms from standard z -transforms at a faster rate and vice versa are presented.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1975.1101016