Savitzky-Golay 5-pt quadratic: centre 17/35, wings 12/35, tips -3/35; Σc = 1; mirror-symmetric

Layer 2 — Chemistryin the chemometrics subtree

Sympy-exact witness of the canonical 5-point quadratic Savitzky-Golay smoothing kernel. Setup: construct c = sp.Matrix([-3, 12, 17, 12, -3])/35 as exact rationals (no floating-point). Three invariants are pinned: (i) DC-preservation —…

Related concepts

Savitzky-Golay framework: least-squares polynomial filter as convolution kernel (Savitzky & Golay 1964)
χ²(k) moments: E[χ²]=k, Var[χ²]=2k

Explore Savitzky-Golay 5-pt quadratic: centre 17/35, wings 12/35, tips -3/35; Σc = 1; mirror-symmetric on the interactive knowledge graph →