@inproceedings{84e1b36dec074a9e9a38819e3b6874e9,
title = "Wavelet transforms associated with finite cyclic groups",
abstract = "Generally speaking, the principal framework within which multiresolution techniques have been studied and applied is the same as that used in the discretetime Fourier analysis of sequences of complex numbers. This paper develops an analogous framework for the multiresolution analysis of finite-length sequences of elements from arbitrary fields. As in finite-length Fourier analysis, a cyclic group structure of the index set of such sequences is exploited to characterize the transforms of interest for the particular cases of complex and finite fields. This development is motivated by potential applications in areas such as digital signal processing and algebraic coding, in which cyclic Fourier analysis has found widespread applications.",
author = "Giuseppe Caire and Grossman, {Robert L.} and Poor, {H. Vincent}",
year = "1992",
month = jan,
day = "1",
doi = "10.1109/ACSSC.1992.269247",
language = "English (US)",
series = "Conference Record - Asilomar Conference on Signals, Systems and Computers",
publisher = "IEEE Computer Society",
pages = "113--119",
booktitle = "Conference Record of the 26th Asilomar Conference on Signals, Systems and Computers, ACSSC 1992",
address = "United States",
note = "26th Asilomar Conference on Signals, Systems and Computers, ACSSC 1992 ; Conference date: 26-10-1992 Through 28-10-1992",
}