# Documentation

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# bartlett

Bartlett window

## Syntax

```w = bartlett(L) ```

## Description

`w = bartlett(L)` returns an `L`-point Bartlett window in the column vector `w`, where `L` must be a positive integer. The coefficients of a Bartlett window are computed as follows:

`$w\left(n\right)=\left\{\begin{array}{ll}\frac{2n}{N},\hfill & 0\le n\le \frac{N}{2}\hfill \\ 2-\frac{2n}{N},\hfill & \frac{N}{2}\le n\le N\hfill \end{array}$`

The window length $L=N+1$.

The Bartlett window is very similar to a triangular window as returned by the `triang` function. The Bartlett window always has zeros at the first and last samples, however, while the triangular window is nonzero at those points. For `L` odd, the center `L - 2` points of` bartlett(L)` are equivalent to `triang(L-2)`.

### Note

If you specify a one-point window (set `L = 1`), the value `1` is returned.

## Examples

collapse all

Create a 64-point Bartlett window. Display the result using `wvtool`.

```L = 64; bw = bartlett(L); wvtool(bw)```

## References

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

## Extended Capabilities

#### Introduced before R2006a

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