What is sinc function used for?
The normalized sinc function is the Fourier transform of the rectangular function with no scaling. It is used in the concept of reconstructing a continuous bandlimited signal from uniformly spaced samples of that signal.
How is sinc defined?
The sinc function is defined by. sinc t = sin π t π t t ≠ 0 , 1 t = 0. This analytic expression corresponds to the continuous inverse Fourier transform of a rectangular pulse of width 2π and height 1: sinc t = 1 2 π ∫ − π π e j ω t d ω .
What is sinc function called?
The sinc function , also called the "sampling function," is a function that arises frequently in signal processing and the theory of Fourier transforms. The full name of the function is "sine cardinal," but it is commonly referred to by its abbreviation, "sinc." There are two definitions in common use.
Is sinc an l1?
sinc is not L^1.