# Documentation

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# hamming

Hamming window

## Syntax

`w = hamming(L)w = hamming(L,'sflag')`

## Description

`w = hamming(L)` returns an `L`-point symmetric Hamming window in the column vector `w`. `L` should be a positive integer. The coefficients of a Hamming window are computed from the following equation.

`$w\left(n\right)=\begin{array}{cc}0.54-0.46\mathrm{cos}\left(2\pi \frac{n}{N}\right),& 0\le n\le N\end{array}$`

The window length is $L=N+1$.

`w = hamming(L,'sflag')` returns an `L`-point Hamming window using the window sampling specified by `'sflag'`, which can be either `'periodic'` or `'symmetric'` (the default). The `'periodic'` flag is useful for DFT/FFT purposes, such as in spectral analysis. The DFT/FFT contains an implicit periodic extension and the periodic flag enables a signal windowed with a periodic window to have perfect periodic extension. When `'periodic'` is specified, `hamming` computes a length `L+1` window and returns the first `L` points. When using windows for filter design, the `'symmetric'` flag should be used.

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

## Examples

collapse all

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

```L = 64; wvtool(hamming(L)) ```

## References

[1] Oppenheim, Alan V., Ronald W. Schafer, and John R. Buck. Discrete-Time Signal Processing. Upper Saddle River, NJ: Prentice Hall, 1999, p. 468.