the normalized cardinal B-splines tend to the Gaussian function
and writes them as "Bk". Meanwhile, cnx.org Signal Reconstruction says:
The basis splines Bn are shown ... as the order increases, the functions approach the Gaussian function, which is exactly B∞.
but then says
as the order increases, the cardinal basis splines approximate the sinc function, which is exactly η∞.
Likewise, Signal Reconstruction with Cardinal Splines uses similar notation of ηn for "cardinal spline".
So which is it? Does a "cardinal basis spline" approximate a Gaussian or a sinc? "B-spline" and "basis spline" are the same thing, right? Is there any relationship to this cardinal spline?