diric (Signal Processing Toolbox)

Dirichlet or periodic sinc function

Syntax

```
y = diric(x,n)
```

Description

y = diric(x,n) returns a vector or array y the same size as x. The elements of y are the Dirichlet function of the elements of x. n must be a positive integer.

The Dirichlet function, or periodic sinc function, is

for any nonzero integer n. This function has period 2 for n odd and period 4 for n even. Its peak value is 1, and its minimum value is -1 for n even. The magnitude of this function is (1/n) times the magnitude of the discrete-time Fourier transform of the n-point rectangular window.

Diagnostics

If n is not a positive integer, diric gives the following error message:

```
Requires n to be a positive integer.
```

See Also

cos, gauspuls, pulstran, rectpuls, sawtooth, sin, sinc, square, tripuls

digitrevorder downsample