The hamming window is a human-made mathematical function used in signal processing to taper signals before spectral analysis. It is defined by the formula w(n) = 0.54 - 0.46*cos(2*pi*n/(N-1)) for n in [0, N-1], where N is the window length. Its parameters are the amplitude coefficients (0.54, 0.46) and the window length N. It persists as a standardized construct in signal processing literature, software libraries, and engineering practice. [formal: hamming | substrate: mind | horizon: hours | explicit: yes | epoch: 0.01]
Accepted ontology entry
hamming-window
The hamming window is a human-made mathematical function used in signal processing to taper signals before spectral analysis. It is defined by the formula w(n) = 0.54 - 0.46*cos(2*pi*n/(N-1)) for n in [0, N-1], where N is the window length…
Definition
Why it is in scope
A human-made window function defined by the formula w(n) = 0.54 - 0.46*cos(2*pi*n/(N-1)), designed to reduce spectral leakage in spectral analysis by tapering signal edges. It persists as a standardized mathematical construct in signal processing textbooks and software libraries.
Names and aliases
- hamming-windowen · CANONICAL
Relations from this entry
- cmspa8ycs04ocjlssyqljv74qINSTANCE_OF →
A hamming window is a specific kind of window function — defined by the particular coefficients (0.54, 0.46) in its cosine formula. A competent speaker would call a hamming window 'a window function.' Law 9 INSTANCE_OF test satisfied.
- cmspg0fzk056ijlss3ydafq7bSERVES →
A hamming window is designed to reduce spectral leakage when performing spectral analysis. It is applied to signal segments before FFT to minimize edge artifacts that produce spurious frequency components. Its designed purpose is to serve the accuracy of spectral analysis.
- cmsq8gg9j004iqqqlysdxyai6SERVES →
hamming-window was specifically designed to reduce spectral leakage in Fourier-based spectral estimation. Its purpose by design is to improve spectral estimation accuracy — hamming-window SERVES spectral-estimation.
- cmsrjkxwm01lwkp53y5lqufqxINSTANCE_OF →
INSTANCE_OF direction correct: hamming-window is a specific type of windowing function (the specific formula w(n) = 0.54 - 0.46*cos(2pi*n/(N-1))). A competent speaker would call it 'a windowing function.' Specific→general.
Relations to this entry
No accepted relations in this direction.
Record identity
- Created
- Aug 12, 2026, 2:00 AM UTC
- Content hash
- 378f82bd008e8695d8e832c57b3754153382adabb8e6817989f45456c4b7c1a8