Abstract
Periodic Nonuniform Sampling of order 2 (PNS2) is defined by two sequences with same period and some delay between them. PNS2 is known to suppress aliasing of multiband signals. Even if PNS2 reconstructs the signal by a linear combination of samples, the problem of retrieving a filtered version of the signal is more complicated. The simplest solution begins by a signal reconstruction through a sampling formula, followed by an analog filter. However new sampling formulas can solve this problem in a single stage. We give equivalent digital circuits which provide these formulas. Examples are provided, particularly when looking to retrieve subbands in communications.
Article PDF
Avoid common mistakes on your manuscript.
References
H. Cramér, M. R. Leadbetter, Stationary and Related Stochastic Processes, Wiley, New-York, 1966.
J. R. Higgins, A sampling theorem for irregular sample points, IEEE Trans. Inf. Th., , 1976..
J. R. Higgins, Some gap sampling series for multiband signals, Signal processing, 12, 313–319, 1987.
B. Lacaze, Reconstruction formula for irregular sampling, Sampl. Theory Signal Image Process., , 2005.
B. Lacaze, About a multiperiodic sampling scheme, IEEE Sig. Proc. Lett., , 1999..
B. Lacaze, A theoretical exposition of stationary processes sampling, Sampl. Theory Signal Image Process., , 2005..
B. Lacaze, The ghost sampling sequence method, Sampl. Theory Signal Image Process., , 2009.
B. Lacaze, About bi-periodic samplings, Sampl. Theory Signal Image Process., , 2009..
B. Lacaze, Equivalent circuits for the PNS2 sampling scheme, IEEE Trans. Circuits and Systems, , 2010.
H. J. Landau, Sampling, data transmission, and the Nyquist rate, Proc. IEEE, , 1967.
A. Papoulis, Signal Analysis, Mc-Graw Hill, 1977.
R. Venkataramani, Perfect reconstruction formulas and bounds on aliasing error in sub-Nyquist nonuniform sampling of multibands signals, IEEE Trans. Inf. Th., , 2000.
J. L. Yen, On nonuniform sampling of bandwidth-limited signals, IRE Trans. on Circ. Th., CT-3 (12) , 251–257, 1956.
Y-P. Lin, P. P. Vaidyanathan, Periodically nonuniform sampling of bandpass signals, IEEE Tran. Signal and Systems-II, , 1998..
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lacaze, B. Filtering from PNS2 Sampling. STSIP 11, 43–53 (2012). https://doi.org/10.1007/BF03549548
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03549548