Last update: Sun Oct 15 02:10:35 MDT 2017
@Article{Lanczos:1975:FAR,
author = "Cornelius Lanczos and Barbara Gellai",
title = "{Fourier} analysis of random sequences",
journal = j-COMPUT-MATH-APPL,
volume = "1",
number = "3--4",
pages = "269--276",
month = "????",
year = "1975",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/0898-1221(75)90025-5",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65C10",
MRnumber = "0448801 (56 \#7106)",
MRreviewer = "George Marsaglia",
bibdate = "Wed Jun 8 13:51:09 2011",
bibdate = "Wed Mar 1 18:51:12 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/tex/bib/computmathappl1970.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0898122175900255",
ZMnumber = "Zbl 0366.65005",
abstract = "Computer-generated random sequences were submitted to
a Fourier analysis. The distribution of the phase angle
was not uniform over the circle, but some ``bald
patches'' remained. The Fourier analysis itself allows
the construction of ideal random sequences. For an
``ideal white noise'' the amplitudes were chosen as
one, whereas the phase angles were uniformly
distributed. For an ``ideal random noise'' both phase
angles and amplitudes were uniformly distributed. Thus,
ideal noise patterns were obtained which were analysed
statistically.",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
remark = "From the publisher: Professor Lanczos dealt with the
topic mentioned in the title of this article during the
last months of his life, however, he did not prepare
any manuscript. The co-author's aim has been to collect
and arrange the ideas obtained from him by oral
communication or by letter into this single article
which should by no means be regarded as a complete
work. Had he not died, Lanczos would most certainly
have provided theoretical and practical complementation
of the topic. Nevertheless, publication is felt to be
appropriate since the considerations presented here may
well be of interest.",
}