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• W1567691056 abstract "A generalized sampling theorem for frequency localized signals is presented. The generalization in the proposed model of sampling is twofold: (1) It applies to various prefilters effecting a bandlimitation, (2) an approximate reconstruction from sample values rather than a one is obtained (though the former might be practically perfect in many cases). For an arbitrary finite-energy signal the frequency localization is performed by a prefilter realizing a crosscorrelation with a function of prescribed properties. The range of the filter, the so-called localization space, is described in some detail. Regular sampling is applied and a reconstruction formula is given. For the reconstruction error a general error estimate is derived and connections between a critical sampling interval and notions of soft bandwidth for the prefilter are indicated. Examples based on the sinc-function, Gaussian functions and B-splines are discussed." @default.
• W1567691056 created "2016-06-24" @default.
• W1567691056 creator A5044129084 @default.
• W1567691056 date "2007-07-02" @default.
• W1567691056 modified "2023-09-27" @default.
• W1567691056 title "A Generalized Sampling Theorem for Frequency Localized Signals" @default.
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