DocumentCode :
3277825
Title :
Pulse Shaping, Localization and the Approximate Eigenstructure of LTV Channels (Special Paper)
Author :
Jung, Peter
Author_Institution :
Heinrich-Hertz Inst., Berlin
fYear :
2008
fDate :
March 31 2008-April 3 2008
Firstpage :
1114
Lastpage :
1119
Abstract :
In this article we show the relation between the theory of pulse shaping for WSSUS channels and the notion of approximate eigenstructure for time-varying channels. We consider pulse shaping for a general signaling scheme, called Weyl-Heisenberg signaling, which includes OFDM with cyclic prefix and OFDM/OQAM. The pulse design problem in the view of optimal WSSUS-averaged SINR is an interplay between localization and "orthogonality". The localization problem itself can be expressed in terms of eigenvalues of localization operators and is intimately connected to the concept of approximate eigenstructure of LTV channel operators. In fact, on the L2-level both are equivalent as we will show. The concept of "orthogonality" in turn can be related to notion of tight frames. The right balance between these two sides is still an open problem. However, several statements on achievable values of certain localization measures and fundamental limits on SINR can already be made as will be shown in the paper.
Keywords :
OFDM modulation; pulse shaping; time-varying channels; LTV channels; OFDM/OQAM; WSSUS channels; Weyl-Heisenberg signaling; approximate eigenstructure; cyclic prefix; localization operator eigenvalues; localization problem; optimal WSSUS-averaged SINR; pulse shaping; time-varying channels; Approximation error; Crosstalk; Dispersion; Interference; OFDM; Pulse shaping methods; Signal design; Signal processing; Signal to noise ratio; Transmitters;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Wireless Communications and Networking Conference, 2008. WCNC 2008. IEEE
Conference_Location :
Las Vegas, NV
ISSN :
1525-3511
Print_ISBN :
978-1-4244-1997-5
Type :
conf
DOI :
10.1109/WCNC.2008.201
Filename :
4489232
Link To Document :
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