Optimality conditions for a specific class of Kautz series

A.C. Brinker, den

Research output: Contribution to journalArticleAcademicpeer-review

10 Citations (Scopus)
123 Downloads (Pure)


Kautz functions constitute a basis in L2 and can be used for filter synthesis starting from a prescribed transient response. In a practical situation, only truncated series are used and thus the speed of convergence of such series is of importance. This convergence speed is a function of the parameters. The Kautz functions that are considered can be generated by a line of identical Nth-order allpass sections. The optimality conditions for the parameters of this specific class of truncated Kautz series are established solely on the basis of the orthonormality and the polynomial character of the basis functions
Original languageEnglish
Pages (from-to)597-600
Number of pages4
JournalIEEE Transactions on Circuits and Systems. II, Analog and Digital Signal Processing
Publication statusPublished - 1996


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