Wilson Bases for General Time-Frequency Lattices
نویسندگان
چکیده
منابع مشابه
Wilson Bases for General Time-Frequency Lattices
Motivated by a recent generalization of the Balian-Low theorem and by new research in wireless communications we analyze the construction of Wilson bases for general time-frequency lattices. We show that orthonormal Wilson bases for L(R) can be constructed for any time-frequency lattice whose volume is 1 2 . We then focus on the spaces l(Z) and C which are the preferred settings for numerical a...
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Motivated by a recent generalization of the Balian-Low theorem and by new research in wireless communications we analyze the construction of Wilson bases for general time-frequency lattices. We show that orthonormal Wilson bases for L(R) can be constructed for any time-frequency lattice whose volume is 1 2 . While this may be expected, our second result may come as a surprise. Namely we prove t...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2005
ISSN: 0036-1410,1095-7154
DOI: 10.1137/s003614100343723x