Strict Optimal Rational Approximants of Multisequences
| Autor: | Zhe-Xian Wan, Kai Zhou |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
TheoryofComputation_MISCELLANEOUS
Power series Mathematical optimization Rational function Library and Information Sciences Computer Science Applications Minimal polynomial (field theory) Function approximation ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Padé approximant Series expansion Computer Science::Cryptography and Security Information Systems Mathematics |
| Zdroj: | IEEE Transactions on Information Theory. 56:1719-1728 |
| ISSN: | 1557-9654 0018-9448 |
| Popis: | The synthesis problem of multisequences of elements of a field F is studied. A new way of approximation by rational functions to multisequences is introduced. Different from the usual approach by optimal rational approximant profile, in the proposed strict optimal rational approximant of a multisequence, the components of the optimal rational approximant are not required to have the same denominator. An algorithm to obtain a strict optimal rational approximant profile is established. The relation between optimal rational approximant and strict optimal rational approximant is studied. |
| Databáze: | OpenAIRE |
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