A one-dimensional kalman filter for peak resolution

A one-dimensional Kalman filter algorithm is presented that resolves several overlapped liquid chromatographic peaks without algebraic operations of matrices. The resolving powers or filtering reliability of the algorithm is independent of the number of peaks, but depends on both the peak overlap (resolution value R_s) and the signal-to-noise ratio more significantly than the usual multi-dimensional Kalman filter. The reliability is shown to be similar to that of the multi-dimensional filter for the resolution of overlapped Gaussian peaks with limited R_s and S/N values.