NDLI: On dithered A/D conversion of multidimensional smooth non-bandlimited signals

Content Provider	IEEE Xplore Digital Library
Author	Athawale, A. Kumar, A.
Copyright Year	2012
Description	Author affiliation: Department of Electrical Engineering, Indian Institute of Technology Bombay, Mumbai, 400076, India (Athawale, A.; Kumar, A.)
Abstract	Conventional method for sampling smooth multidimensional non-bandlimited signal requires the use of anti-aliasing lowpass prefilter. In spatial sampling applications, such as in geographical surveillance, sampling operation takes place before filtering. Aliasing of sampled signal is inevitable in such cases. Recently, sampling and quantization of one-dimensional smooth non-bandlimited signals in the absence of a lowpass prefilter has been studied in the literature [1]. Two-dimensional extensions of the one-dimensional non-bandlimited signal sampling results are derived in this work. Smoothness of signal can be translated to a decaying Fourier spectrum. The maximum error between signal and its reconstruction is distortion. The distortion when signal is sampled on a uniform grid with high-precision quantizers, imitating the Nyquist-style sampling, is analyzed and bounded. It is shown that, with the help of a known dither, the signal of interest can be reconstructed with similar reconstruction distortion while using only single-bit quantizers. An example illustrates that the distortion is limited by the slowest spectral decay law among all directions in the Fourier transform domain.
Starting Page	1
Ending Page	5
File Size	369933
Page Count	5
File Format	PDF
ISBN	9781467320139
e-ISBN	9781467320146
DOI	10.1109/SPCOM.2012.6290229
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-22
Publisher Place	India
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Interpolation Fourier transforms Rate-distortion Quantization Distortion Sensors Kernel
Content Type	Text
Resource Type	Article

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