Raised cosine distribution
Probability density function
Cumulative distribution function
for and zero otherwise. The cumulative distribution function (CDF) is
for and zero for and unity for .
The moments of the raised cosine distribution are somewhat complicated in the general case, but are considerably simplified for the standard raised cosine distribution. The standard raised cosine distribution is just the raised cosine distribution with and . Because the standard raised cosine distribution is an even function, the odd moments are zero. The even moments are given by:
where is a generalized hypergeometric function.
- Horst Rinne (2010). "Location-Scale Distributions – Linear Estimation and Probability Plotting Using MATLAB" (PDF). p. 116. Retrieved 2012-11-16.