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The Sinc Function

2-13

The Sinc Function

The sinc function computes the mathematical sinc function for an input vector or

matrixx. 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 of width 2π and height

1. The following equation defines the sinc function:

sin

p p

e d

j x

The sinc function has a value of1 when x is equal to zero, and a value of

sin

for all other elements of x.

To plot the sinc function for a linearly spaced vector with values ranging from –5 to5, use

the following commands:

x = linspace(-5,5);

y = sinc(x);

plot(x,y)

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MATLAB SIGNAL PROCESSING TOOLBOX 6 Manuale Utente Pagina 21