Titlebook: Numerical Methods of Approximation Theory, Vol. 7 / Numerische Methoden der Approximationstheorie, B; Workshop on Numerica L. Collatz,G. Me

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Algorithms to Compute the Reflection Coefficients of Digital Filters,by certain rhombus rules. By some numerical examples we show how we can obtain information about the stability properties (pole location) and zero structure (transmission zeros) of the transfer-function of the system from all of these three algorithms.

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Algorithms to Compute the Reflection Coefficients of Digital Filters,these algorithms solve some Padé-like approximation problems. As a special case of these algorithms we obtain the Levinson and Schur methods to compute the reflection coefficients in linear predictive filtering. The third algorithm generates a table of numbers related to the reflection coefficients