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" — Use this option when using windows for spectral analysis. When you specify "periodic", hamming computes a window of length L + 1 and returns the first L points. The missing endpoint is the beginning of the next period of the periodic extension of the sequence. Therefore, the sequence satisfies the periodicity assumption of the discrete Fourier transform.

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.