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:
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: