Approximate Eigenstructure of LTV Channels with Compactly Supported Spreading
| dc.creator | Jung, Peter | |
| dc.date | 2007-01-06 | |
| dc.date | 2007-02-27 | |
| dc.date.accessioned | 2026-07-07T08:16:55Z | |
| dc.date.available | 2026-07-07T08:16:55Z | |
| dc.description | In this article we obtain estimates on the approximate eigenstructure of channels with a spreading function supported only on a set of finite measure $|U|$.Because in typical application like wireless communication the spreading function is a random process corresponding to a random Hilbert--Schmidt channel operator $\BH$ we measure this approximation in terms of the ratio of the $p$--norm of the deviation from variants of the Weyl symbol calculus to the $a$--norm of the spreading function itself. This generalizes recent results obtained for the case $p=2$ and $a=1$. We provide a general approach to this topic and consider then operators with $|U|<\infty$ in more detail. We show the relation to pulse shaping and weighted norms of ambiguity functions. Finally we derive several necessary conditions on $|U|$, such that the approximation error is below certain levels. | |
| dc.description | 5 pages, 1 figure, submitted to the 2007 IEEE International Symposium on Information Theory; condition in Lemma 6 and constants in (26) corrected | |
| dc.identifier | https://arxiv.org/abs/cs/0701038 | |
| dc.identifier | http://arxiv.org/abs/cs/0701038 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133954 | |
| dc.subject | Information Theory | |
| dc.title | Approximate Eigenstructure of LTV Channels with Compactly Supported Spreading | |
| dc.type | text |