Spline modulation of sinusoids for signal representation (Q1879333)

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scientific article; zbMATH DE number 2102108
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Spline modulation of sinusoids for signal representation
scientific article; zbMATH DE number 2102108

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    Spline modulation of sinusoids for signal representation (English)
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    22 September 2004
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    The authors study biorthogonal Wilson bases with B-spline windows. Such Wilson bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for these Wilson bases with B-spline windows are given. Further, an explicit formula for the computation of the dual window function is presented. The decay rate of the dual window for the biorthogonal Wilson basis is determined.
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    biorthogonal Wilson bases
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    local trigonometric bases
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    B-spline window
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    exponential Euler spline
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    dual window
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    exact Riesz bounds
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    Riesz basis
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    Zak transform
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