hamming

→Tensor

hamming(M: int, sym: bool = True, dtype: DTypeLike = None, device: DeviceLike = None)

source

Hamming window.

The Hamming window is a raised cosine on a nonzero pedestal, chosen so that the first side-lobe is suppressed about $-43\, \text{dB}$ — substantially better than the Hann window at the cost of slower asymptotic side-lobe decay (only $-6\, \text{dB/octave}$ ).

Parameters

Mint

Number of samples in the output window; must be >= 0.

symbool= True

Symmetric (True, default) or periodic (False) variant.

dtypeDTypeLike= None

Desired dtype of the output tensor.

deviceDeviceLike= None

Target device for the output tensor.

Returns

Tensor

1-D tensor of length M containing the window samples.

Notes

Special case of general_hamming with $\alpha = 0.54$ :

w[n] = 0.54 - 0.46 \cos\!\left(\frac{2\pi n}{N - 1}\right), \qquad 0 \le n < N.

Main-lobe width $8\pi/N$ . Endpoint values are 0.08 rather than 0.

Examples

>>> from lucid.signal.windows import hamming
>>> hamming(5)
Tensor([0.0800, 0.5400, 1.0000, 0.5400, 0.0800])