In a recent paper [1], Brown examined the sampling of a real finiteenergy bandpass signal having an (angular) bandwidth σ (in radians per second) at the theoretically minimum (average) rate of σ/π samples per second. Following Grace and Pitt's [2] quadrature sampling, a particular case of Kohlenberg's second-order sampling [3, 4], Brown has proved the feasibility of a separate interpolation of the in-phase and quadrature components of the signal when ωo = kσ/2 (Brown's condition), where ωo is the center (angular) frequency of the signal and k is an arbitrary positive integer. Here the problem is reconsidered from a general point of view, introducing, under Brown's condition, an interpolation formula which includes that of Grace and Pitt and which extends a theorem of Populis [5-7]. We indicate the necessary and sufficient conditions to obtain a separate interpolation, offering closed formulas to obtain the interpolation functions. We also discuss the minimum oversampling rate needed whenBrown's condition is not verified.


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    Title :

    Sampling Bandpass Signals


    Contributors:

    Published in:

    Publication date :

    1981-03-01


    Size :

    1685525 byte




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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