Statistics of sinc function with normal argument

[rhz]

Hi,

Can anyone point me to the pdf, cdf, moments, etc of

y = sinc(x) = sin(pi*x)/(pi*x) where x ~ N(0,s^2)?

Thanks!

 

[bpet]

The CDF and PDF will be tricky to calculate because sinc is not one-to-one.

However the moments could be calculated by numerical integration and possibly even analytically using complex variable methods.