Spectral Analysis of Alignment

Definition

The decomposition of institutional cycle functions into Fourier modes, where each mode has a characteristic frequency, phase, and amplitude. Alignment becomes an eigenvalue problem: aligned modes have λ ≈ 1, misaligned modes have λ < 1.

Formula

Example

Spectral analysis of a hospital reveals 1-year budget modes (fragility) and 5-year equipment modes (mission). Δ filters the high-frequency budget modes; Λ projects onto the mission-frequency subspace.

Source

OAIA Section 4