hamming

Hamming window

Syntax

w = hamming(L)

w = hamming(L,sflag)

Description

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

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

Examples

Hamming Window

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

L = 64;
wvtool(hamming(L))

Comparison of Periodic and Symmetric Hamming Windows

Design two Hamming windows:

• The first window has N = 64 and is symmetric.

• The second window has N = 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')

Input Arguments

L — Window length

positive integer

Window length, specified as a positive integer.

Note

If you specify L as noninteger, the function rounds it to the nearest integer value.

Data Types: single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64

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 length L + 1 and returns the first L points.

Data Types: char | string

Output Arguments

w — Hamming window

column vector

Hamming window, returned as a column vector.

Algorithms

The following equation generates the coefficients of a Hamming window:

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

The window length L = 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™.

GPU Code Generation
Generate CUDA® code for NVIDIA® GPUs using GPU Coder™.

Version History

Introduced before R2006a

R2024a: hamming supports GPU code generation

The hamming function supports code generation for graphical processing units (GPUs). You must have MATLAB^® Coder™ and GPU Coder™ to generate CUDA^® code.