NDLI: Dealiasing of the spectra of sampled noise

Content Provider	IEEE Xplore Digital Library
Author	Bilger, H. Nougier, J.
Copyright Year	1978
Description	Author affiliation: Université des Sciences et Techniques du Languedoc, Montpellier Cédex, France (Bilger, H.)
Abstract	Noise power spectra gained through discrete Fourier transform of sampled noise show the effects of aliasing and filtering at all frequencies, whatever the sampling rate and the filter cut-off frequencies. A self consistent method for the necessary correction of the spectra is developped, given the filter response. It is first shown that, with RLC filters, the uncorrected spectrum of white noise and 1/f - noise can be represented by Digamma functions, Polygamma functions, or by corresponding integrals. In certain cases the correction function can be calculated in simple form, and an example of dealiasing and defiltering of white noise is given. Finally, estimates of the truncation error of the sums representing the uncorrected spectra are given. In general, the spectra can be reconstituted all the way up to the folding frequency with tolerable computational effort.
Starting Page	655
Ending Page	658
File Size	73019
Page Count	4
File Format	PDF
DOI	10.1109/ICASSP.1978.1170584
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1978-04-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency Low pass filters Sampling methods White noise Noise shaping Filtering Fast Fourier transforms Probes Spectral analysis Passive filters
Content Type	Text
Resource Type	Article

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