hamming

Hamming window

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Syntax

w = hamming(L)

w = hamming(L,sflag)

Description

example

w= hamming(L)returns anL-point symmetric Hamming window.

example

w= hamming(L,sflag)returns a Hamming window using the window sampling specified bysflag.

Examples

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Hamming Window

Open Live Script

Create a 64-point Hamming window. Display the result usingwvtool.

L = 64; wvtool(hamming(L))

Figure Window Visualization Tool contains 2 axes objects and other objects of type uimenu, uitoolbar, uipanel. Axes object 1 with title Time domain contains an object of type line. Axes object 2 with title Frequency domain contains an object of type line.

Comparison of Periodic and Symmetric Hamming Windows

Open Live Script

Design two Hamming windows:

The first window hasN= 64 and is symmetric.
The second window hasN= 63 and is periodic.

Display the two windows.

Hs = hamming(64,'symmetric'); Hp = hamming(63,'periodic'); wvt = wvtool(Hs,Hp); legend(wvt.CurrentAxes,'Symmetric','Periodic')

Figure Window Visualization Tool contains 2 axes objects and other objects of type uimenu, uitoolbar, uipanel. Axes object 1 with title Time domain contains 2 objects of type line. Axes object 2 with title Frequency domain contains 2 objects of type line. These objects represent Symmetric, Periodic.

Input Arguments

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`L`—Window length
positive integer

Window length, specified as a positive integer.

Data Types:single|double

`sflag`—Window sampling
`'symmetric'`(default) |`'periodic'`

Window sampling method, specified as:

'symmetric'— Use this option when using windows for filter design.
'periodic'— This option is useful for spectral analysis because it enables a windowed signal to have the perfect periodic extension implicit in the discrete Fourier transform. When'periodic'is specified, the function computes a window of lengthL+ 1 and returns the firstLpoints.

Output Arguments

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`w`— Hamming window
column vector

Hamming window, returned as a column vector.

Algorithms

The following equation generates the coefficients of a Hamming window:

$w (n) = \begin{matrix} 0.54 - 0.46 \cos (2 π \frac{n}{N}), & 0 \leq n \leq N \end{matrix} .$

The window lengthL=N+ 1.

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

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

版本嗨story

Introduced before R2006a

hamming

Syntax

Description