@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",

}