Combinatorial rules for some useful transformations
- 1 September 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuit Theory
- Vol. 20 (5) , 476-480
- https://doi.org/10.1109/TCT.1973.1083716
Abstract
The various transformations involved in transforming the polynomialF(z) = \Sigma_{k=0}^{n}a_{k}z^{k}into the polynomialG(s) = \Sigma_{k=0}^{n} b_{k}s^{k}are discussed. In particular, the entries of theQ-matrix of the matrix transformationb] = Qa]are generated in easily obtained combinatorial rules. The various applications of the transformations in the stability study of discrete systems in aperiodicity conditions in evaluation of total square integrals and in digital-filter design are enumerated.Keywords
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