diric (Signal Processing Toolbox)

Compute the 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
Compute the cosine of vector/matrix elements (see the MATLAB documentation).

gauspuls
Generate a Gaussian-modulated signal pulse.

pulstran
Generate a pulse train.

rectpuls
Generate a sampled aperiodic rectangle.

sawtooth
Generate a sawtooth or triangle wave.

sin
Compute the sine of vector/matrix elements (see the MATLAB documentation).

sinc
Compute the sinc or sin(t)/t function.

square
Generate a square wave.

tripuls
Generate a sampled aperiodic triangle.

`cos`	Compute the cosine of vector/matrix elements (see the MATLAB documentation).
`gauspuls`	Generate a Gaussian-modulated signal pulse.
`pulstran`	Generate a pulse train.
`rectpuls`	Generate a sampled aperiodic rectangle.
`sawtooth`	Generate a sawtooth or triangle wave.
`sin`	Compute the sine of vector/matrix elements (see the MATLAB documentation).
`sinc`	Compute the sinc or sin(t)/t function.
`square`	Generate a square wave.
`tripuls`	Generate a sampled aperiodic triangle.

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