Lin, Yuan-Pei and Vaidyanathan, P. P. (1998) Periodically nonuniform sampling of bandpass signals. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 45 (3). pp. 340-351. ISSN 1057-7130 http://resolver.caltech.edu/CaltechAUTHORS:LINieeetcsII98
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It is known that a continuous time signal x(i) with Fourier transform X(ν) band-limited to |ν|<Θ/2 can be reconstructed from its samples x(T0n) with T0=2π/Θ. In the case that X(ν) consists of two bands and is band-limited to ν0<|ν|<ν0 +Θ/2, successful reconstruction of x(t) from x(T0n) requires an additional condition on the band positions. When the two bands are not located properly, Kohlenberg showed that we can use two sets of uniform samples, x(2T0n) and x(2T0n+d1), with average sampling period T0, to recover x(t). Because two sets of uniform samples are employed, this sampling scheme is called Periodically Nonuniform Sampling of second order [PNS(2)]. In this paper, we show that PNS(2) can be generalized and applied to a wider class. Also, Periodically Nonuniform Sampling of Lth-order [PNS(L)] will be developed and used to recover a broader class of band-limited signal. Further generalizations will be made to the two-dimensional case and discrete time case.
|Additional Information:||© Copyright 1998 IEEE. Reprinted with permission. Manuscript received August 15, 1996; revised July 3, 1997. This work was supported in part by ONR under Grant N00014-93-0231, and by Tektronix, Inc. This paper was recommended by Associate Editor N. K. Bose.|
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