Howtosignalprocessing
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.
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Sinc function.
| Sinc | |
|---|---|
| Parity | Even |
| Specific values | |
| At zero | 1 |
| Value at +∞ | 0 |
- What is meant by sinc function?
- What is the integral of the sinc function?
- Why do we use sinc function?
- Is sinc function a power signal?
What is meant by sinc function?
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.
What is the integral of the sinc function?
The integral of a function is the value of its Fourier transform at zero, so sinc integrates to π. [ 1] By Plancherel's theorem, the integral of sinc2(x) is the integral of its Fourier transform squared, which equals π.
Why do we use sinc function?
This is a very desirable property in a pulse, as it helps to avoid intersymbol interference, a major cause of degradation in digital transmission systems. The product of a sinc function and any other signal would also guarantee zero crossings at all positive and negative integers.
Is sinc function a power signal?
Sinc Function
It is an energy type signal.
