A Caltech Library Service

Periodically nonuniform sampling of bandpass signals

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.

PDF - Published Version
See Usage Policy.


Use this Persistent URL to link to this item:


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.

Item Type:Article
Related URLs:
URLURL TypeDescription
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.
Funding AgencyGrant Number
Office of Naval ResearchN00014-93-0231
Tektronix, Inc.UNSPECIFIED
Record Number:CaltechAUTHORS:LINieeetcsII98
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13027
Deposited By: Archive Administrator
Deposited On:15 Jan 2009 23:12
Last Modified:20 Feb 2015 18:34

Repository Staff Only: item control page