Disk algebra bases

Volker Pohl, Holger Boche

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


This chapter considers the approximation of the transfer function of a linear system in terms of a causal filter bank. Assume that (Formula Presented.) with (Formula Presented.) is the transfer function of an arbitrary discrete-time linear system L, and let Φ = {φk}k = 1\infty be a set of transfer functions of an orthonormal filterbank. It is assumed that f as well as all φk are elements of a certain Banach algebra B which characterizes the system theoretical properties of L and of the filterbank Φ. Moreover, since f as well as {φk}\inftyk=1 should represent causal systems, these transfer functions have to belong to the causal subspace B+, of, B. Then, it is desirable to obtain an approximation of f in this filterbank of the form.

Original languageEnglish
Title of host publicationFoundations in Signal Processing, Communications and Networking
PublisherSpringer Science and Business Media B.V.
Number of pages16
StatePublished - 2010
Externally publishedYes

Publication series

NameFoundations in Signal Processing, Communications and Networking
ISSN (Print)1863-8538
ISSN (Electronic)1863-8546


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