A raw prompt is a single sample of a 6-band signal. Nyquist theorem requires 2N samples to reconstruct N frequency bands. 1 sample for 6 bands = 6:1 undersampling = aliasing (hallucination).

The transformer scans your prompt for markers of each band: persona cues ("you are", "expert"), constraints ("must", "never"), format directives ("table", "structured"), and task verbs ("analyze", "build").

Missing bands are filled with smart templates derived from detected context. The sinc interpolation formula reconstructs the full 6-band signal, eliminating aliasing artifacts.

Four zone functions (G, H, R, G) evaluate band count, constraint density, token budget, and imperative count. The composite SNR score predicts output quality: baseline 0.588, maximum ~0.855.