Sinc interpolation matlab

1. What is the Fourier transform of sinc?
2. How to implement sinc in matlab?
3. How do you interpolate a signal in Matlab?
4. How to calculate sinc in matlab?

What is the Fourier transform of sinc?

The Fourier transform of the sinc function is a rectangle centered on ω = 0. This gives sinc(x) a special place in the realm of signal processing, because a rectangular shape in the frequency domain is the idealized “brick-wall” filter response.

How to implement sinc in matlab?

Viewed as a function of time, or space, the sinc function is the inverse Fourier transform of the rectangular pulse in frequency centered at zero, with width 2 π and unit height: sinc x = 1 2 π ∫ - π π e j ω x d ω = sin π x π x , x ≠ 0 , 1 , x = 0 .

How do you interpolate a signal in Matlab?

y = interp( x , r ) increases the sample rate of x , the input signal, by a factor of r . y = interp( x , r , n , cutoff ) specifies two additional values: n is half the number of original sample values used to interpolate the expanded signal.

How to calculate sinc in matlab?

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 .