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.
Sampling Bandpass Signals
IEEE Transactions on Aerospace and Electronic Systems ; AES-17 , 2 ; 288-295
1981-03-01
1685525 byte
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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