Where Harmonizable Processes Actually Work

Standard signal processing assumes statistics hold still, placing spectral energy strictly along a diagonal. When frequency components correlate instead, harmonizable processes take over under everyday engineering labels like cyclostationarity and spectral correlation. This branch of mathematics explains how multi-path Doppler radar spots tied-together echoes, why edge sensors can diagnose failing bearings inside noisy wind turbines, and why standard Welch-style chunk averaging yields smooth, completely wrong answers whenever spectral mass sits off the diagonal. Key sources: • Lii & Rosenblatt, Spectral analysis for harmonizable processes, *Annals of Statistics*, 2002-02-01 — https://doi.org/10.1214/aos/1015362193 • Marc H. Mehlman CV — http://cirrus18.com/resume.pdf • Mehlman homepage — http://www.cirrus18.com/ Episode 6386 — myweirdprompts.com/n/6386 (permanent short link: myweirdprompts.com/481316)