Raised cosine distribution
In probability theory and statistics, the raised cosine distribution is a continuous probability distribution supported on the interval [\mu-s,\mu+s]. The probability density function is
f(x;\mu,s)=\frac{1}{2s}<br />
\left[1+\cos\left(\frac{x\!-\!\mu}{s}\,\pi\right)\right]\,
for \mu-s \le x \le \mu+s and zero otherwise. The cumulative distribution function is
F(x;\mu,s)=\frac{1}{2}\left[1\!+\!\frac{x\!-\!\mu}{s}<br />
\!+\!\frac{1}{\pi}\sin\left(\frac{x\!-\!\mu}{s}\,\pi\right)\right]
for \mu-s \le x \le \mu+s and zero for x<\mu-s and unity for x>\mu+s.
The moments of the raised cosine distribution are somewhat complicated, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with \mu=0 and s=1. Because the standard raised cosine distribution is an even function, the odd moments are zero. The even moments are given by:
E(x^{2n})=\frac{1}{2}\int_{-1}^1  [1+\cos(x\pi)]x^{2n}\,dx
= \frac{1}{n\!+\!1}+\frac{1}{1\!+\!2n}\,_1F_2<br />
\left(n\!+\!\frac{1}{2};\frac{1}{2},n\!+\!\frac{3}{2};\frac{-\pi^2}{4}\right)
where \,_1F_2 is a generalized hypergeometric function.

This is an excerpt from the article Raised cosine distribution from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.
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Raised cosine distribution - Wikipedia, the free encyclopedia
In probability theory and statistics, the Raised cosine distribution is a continuous probability distribution supported on the interval [\mu-s,\mu+s] . The probability ...
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A Thought on Exotic Statistical Distributions - World Academy of ...
Abstract—The statistical distributions are modeled in explaining nature of various .... Similarly, the Raised cosine distribution has the probability density function ...
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High Quality Content by WIKIPEDIA articles! In probability theory and statistics, the Raised cosine distribution is a probability distribution supported on the interval  ...
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Root-Raised Cosine filter influences on PAPR distribution of single ...
lations when Root-Raised Cosine (RRC) filters are considered. It is shown that ... PAPR distribution of single carrier signals weighted by a RRC filter is mainly ...
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File:RCosine distribution PDF.png - Wikimedia Commons
Sep 10, 2005 ... File:RCosine distribution PDF.png. From Wikimedia Commons, the free media repository. Jump to: ... Raised cosine probability density function ...
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Aug 20, 2010 ... Available in: Paperback. Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources ...
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We provide distributions homework and assignment help with detailed solution. ... Pearson Type III distribution, Poisson binomial, Rademacher, Raised cosine, ...
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[PDF]Location-scale distributions : Linear estimation and probability plotting
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An FIR filter with a raised cosine frequency response. ... to use, copy, modify, and distribute this software and its documentation for any purpose, provided ... IN NO EVENT SHALL THE UNIVERSITY OF CALIFORNIA BE LIABLE TO ANY PARTY ...
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Publication » Root-Raised Cosine filter influences on PAPR distribution of single carrier ... 01/2007; Cambridge University Press., ISBN: 978-0-521-85596-9 ...
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Raised cosine distribution - Wikipedia, the free encyclopedia
In probability theory and statistics, the Raised cosine distribution is a continuous probability distribution supported on the interval [\mu-s,\mu+s] . The probability ...
Books on the term Raised cosine distribution
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What doesn't have a video component nowadays? IPod, cell phone, computer, they all have video. And, of course, television which is a major source of our entertainment and information. Any engineer involved in designing, manufacturing, or testing video electronics needs this book!Each edition of Video Demystified has sold thousands of copies an...
Video Demystified, Fourth Edition (Demystifying Technology)
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This international bestseller and essential reference is the "bible" for digital video engineers and programmers worldwide. This is by far the most informative analog and digital video reference available, includes the hottest new trends and cutting-edge developments in the field.Video Demystified, Fourth Edition is a "one stop"...
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Covers the essentials of video technology with an emphasis on implementing video on computer systems for such applications as multimedia and video teleconferencing. --This text refers to an out of print or unavailable edition of this title.
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