# Documentation

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# triang

Triangular window

## Syntax

`w = triang(L)`

## Description

`w = triang(L)` returns an `L`-point triangular window in the column vector, `w`.

See Definitions for the equations that define the triangular window. The triangular window is very similar to a Bartlett window. The Bartlett window always ends with zeros at samples 1 and `L`, while the triangular window is nonzero at those points. For `L` odd, the center `L-2` points of `triang(L-2)` are equivalent to `bartlett``(L)`.

## Examples

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Create a 200-point triangular window. Display the result using `wvtool`.

```L = 200; w = triang(L); wvtool(w) ```

## Definitions

The coefficients of a triangular window are the following.

For L odd:

`$w\left(n\right)=\left\{\begin{array}{ll}\frac{2n}{L+1}\hfill & 1\le n\le \left(L+1\right)/2\hfill \\ 2-\frac{2n}{L+1}\hfill & \left(L+1\right)/2+1\le n\le L\hfill \end{array}$`

For L even:

`$w\left(n\right)=\left\{\begin{array}{ll}\frac{\left(2n-1\right)}{L}\hfill & 1\le n\le L/2\hfill \\ 2-\frac{\left(2n-1\right)}{L}\hfill & L/2+1\le n\le L\hfill \end{array}$`

## References

[1] Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1999.