I am trying to apply SPRT on a vector signal (of residual) for detecting faults occurring in the sensors' measurement of an aircraft. The vector signal contains measurements from five different sensors of the aircraft. So I wanted to inquire whether the SPRT is to be applied separately for each sensor signal, each having a different set of parameters for the test?
Yes, for N stationary time series, or for N residuals from which the serial correlation has been filtered, it's necessary to apply N univariate SPRTs in parallel for anomaly detection.