Publication: Research - peer-review › Journal article – Annual report year: 2011
Given a real, expansive dilation matrix we prove that any bandlimited function ψ∈L2(Rn), for which the dilations of its Fourier transform form a partition of unity, generates a wavelet frame for certain translation lattices. Moreover, there exists a dual wavelet frame generated by a finite linear combination of dilations of ψ with explicitly given coefficients. The result allows a simple construction procedure for pairs of dual wavelet frames whose generators have compact support in the Fourier domain and desired time localization. The construction relies on a technical condition on ψ, and we exhibit a general class of function satisfying this condition.
|Citations||Web of Science® Times Cited: No match on DOI|
- Dual wavelet frames, Bandlimited wavelets, Real dilation matrix, Partition of unity, Non-tight frames
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