NDLI: Upper bounds on aliasing error energy for multidimensional sampling of nonbandlimited signals

Content Provider	IEEE Xplore Digital Library
Author	Sharif, B. Bresler, Y.
Copyright Year	2008
Description	Author affiliation: Dept. of Electr. & Comput. Eng., Univ. of Illinois, Urbana, IL (Sharif, B.; Bresler, Y.)
Abstract	We present upper bounds on the 2-norm of the aliasing error in multidimensional Shannon sampling. Our bounds complement the previously known 1-norm upper bounds for the peak aliasing error. The proposed bounds provide a good estimate of the total error energy for any signal, rather than just for certain pathological extremals, as is the case with the 1-norm bounds which, as a result, tend to be too conservative for practical applications. The sampling representation is general, possibly multiband, and not restricted to bandlimited signals. Error bounds are phrased in terms of the energy of signal components that lie outside the assumed band-region. Therefore, they are easy to interpret and compute as is demonstrated for two practical signal classes, namely signals with exponential or polynomial out-of-band decay.
Starting Page	3717
Ending Page	3720
File Size	247160
Page Count	4
File Format	PDF
ISBN	9781424414833
ISSN	15206149
DOI	10.1109/ICASSP.2008.4518460
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-03-31
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Upper bound Multidimensional systems Sampling methods Signal sampling Multidimensional signal processing Computer errors Signal processing Fourier transforms Pathology Polynomials error energy Shannon sampling aliasing error multidimensional nonbandlimited
Content Type	Text
Resource Type	Article

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