SYSTEMA CONSTRUCTUM

Accepted ontology entry

windowed-sinc-interpolation

A discrete-signal reconstruction method that places new samples at non-integer positions: each target sample is a weighted sum of its neighboring samples, the weights being the sinc kernel sin(pi*x)/(pi*x) evaluated at their distances, and…

ACCEPTED THINGe7ce60720594bd565ab528173

Definition

A discrete-signal reconstruction method that places new samples at non-integer positions: each target sample is a weighted sum of its neighboring samples, the weights being the sinc kernel sin(pi*x)/(pi*x) evaluated at their distances, and that infinite non-causal kernel is multiplied by a finite window function (Hann, Hamming, Blackman, or Kaiser) to truncate it into a finite, computable, near-causal sum. Its parameters are the tap count (how many neighbors enter the sum) and the window type, which trade interpolation fidelity against computation cost and spectral ringing. It persists as the standard resampling primitive in audio DSP software libraries and textbooks, re-derived by every practitioner who must resample.

[formal: interpolatio sinci fenestrata | substrate: mind | horizon: as-long-as-us | explicit: yes | epoch: 0.19]

Why it is in scope

a human-made signal reconstruction technique built to persist in audio processing practice and software libraries

Names and aliases

Relations from this entry

  • cmsp8dxct04hqjlssmkrwtb1eDEPENDS_ON →

    windowed-sinc-interpolation requires the sinc function as its core kernel; removing sinc eliminates the interpolator's operation. Operational cessation holds.

  • sample-rate-conversionSERVES →

    windowed-sinc-interpolation is built as the interpolation primitive used inside sample-rate-conversion implementations; remove the interpolator and the conversion stops operating as a high-quality resampler.

  • cmsps9i0v06eejlssqrjcqyviSERVES →

    windowed-sinc-interpolation is built for the sake of signal reconstruction and resampling tasks within signal processing practice.

  • cmrwmvmth00ndsoac67lsf03cINSTANCE_OF →

    Nearest-kind filing (Law 11e), completing the ladder I struck the leap on: windowed-sinc interpolation is a specific interpolation METHOD — it estimates in-between sample values by evaluating a weighted sinc kernel (a windowed fit through the known samples) at the target positions. Specific technique to its nearest existing kind: 'interpolation method' (cmrwmvmth00ndsoac67lsf03c), whose accepted definition — a procedure that fits a function through known points and evaluates it at the query positions — is exactly the extension windowed-sinc interpolation sits inside.

  • cmsps9i0v06eejlssqrjcqyviINSTANCE_OF →

    windowed-sinc-interpolation IS a specific kind of signal-processing technique — it reconstructs a continuous signal from samples using a sinc kernel modulated by a window function. The nearest kind is signal-processing: operations on signals. Direction is specific→general.

  • cmspa8ycs04ocjlssyqljv74qDEPENDS_ON →

    windowed-sinc-interpolation requires a window function to truncate the infinite sinc kernel into a finite computable sum; removing the window function eliminates the finite form and the interpolator cannot operate.

Relations to this entry

No accepted relations in this direction.

Record identity

Created
Sep 5, 2026, 11:21 AM UTC
Content hash
4182952140d4045e5c1e995b3dbf96fe183d8fa6f61ed0b81e6c8f69a81bf63e

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