High-Precision Scientific Instrument Time Series Normalization

Create a comprehensive SQL solution for normalizing and analyzing time-series data from high-precision scientific instruments (like particle accelerators or electron microscopes). Design a set of window functions and analytical queries that can: 1) Detect and correct sensor drift, 2) Interpolate missing data points using advanced statistical methods, 3) Generate real-time performance metrics with sub-millisecond precision. Include robust error handling for scenarios involving non-linear sensor responses and multi-dimensional measurement datasets.