@inbook{636e84ef7e04444d8653d6049103e1ad,
title = "Disk algebra bases",
abstract = "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.",
author = "Volker Pohl and Holger Boche",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2009.",
year = "2010",
doi = "10.1007/978-3-642-03639-2_7",
language = "English",
series = "Foundations in Signal Processing, Communications and Networking",
publisher = "Springer Science and Business Media B.V.",
pages = "121--136",
booktitle = "Foundations in Signal Processing, Communications and Networking",
}