Systems and methods for offline and/or online batch monitoring using decomposition and signal approximation approaches

A batch processing system configured for online monitoring of batch processes, comprising:

• a statistical model building device configured for building a plurality of multivariate statistical models (MSMs) using archived batch process data (ABPD) for a batch process comprising stored batch process data (BPD) for at least one batch process parameter (BPP) obtained during a plurality of different times during a duration of a plurality runs of said batch process;
• a data collection device configured for collecting current batch process data (CBPD) for at least said BPP during said plurality of different times up to a current time for a current run of said batch process, said interval of time being less than a duration for said current run;
• an estimating device configured for building a feature vector matrix comprising a plurality of feature vectors representing statistical measures of wavelet coefficients determined at said plurality of different times up to said current time for a plurality of variables, forming a projection by projecting said feature vectors onto at least one MSM of said plurality of MSMs or a combined multivariate statistical model (CMSM), and generating at least one estimated value for said BPP at a time after said current time during a duration of said current run using information provided by said projection, said feature vector matrix built using said CBPD.