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• W1974105102 abstract "A sequence of special functions in Hardy space [Formula: see text] are constructed from Cauchy kernel on unit disk 𝔻. Applying projection operator of the sequence of functions leads to an analytic sampling approximation to f, any given function in [Formula: see text]. That is, f can be approximated by its analytic samples in 𝔻 s . Under a mild condition, f is approximated exponentially by its analytic samples. By the analytic sampling approximation, a signal in [Formula: see text] can be approximately decomposed into components of positive instantaneous frequency. Using circular Hilbert transform, we apply the approximation scheme in [Formula: see text] to L s (𝕋 2 ) such that a signal in L s (𝕋 2 ) can be approximated by its analytic samples on ℂ s . A numerical experiment is carried out to illustrate our results." @default.
• W1974105102 created "2016-06-24" @default.
• W1974105102 creator A5048180304 @default.
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• W1974105102 date "2013-09-01" @default.
• W1974105102 modified "2023-10-02" @default.
• W1974105102 title "ANALYTIC SAMPLING APPROXIMATION BY PROJECTION OPERATOR WITH APPLICATION IN DECOMPOSITION OF INSTANTANEOUS FREQUENCY" @default.
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• W1974105102 doi "https://doi.org/10.1142/s0219691313500409" @default.
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