Application of dot product for Track-Before-Detect tracking of noise objects

The Track-Before-Detect (TBD) algorithms are applied for the tracking of signals below the noise floor. The noise object is the signal that has noise samples only. The processing of such signal using Spatio-Temporal TBD is not possible directly. The proposed preprocessing technique allows analysis of the signal using moving window approach and dot product calculations. Two vectors, related to the distributions, are compared: the overall signal and the local, related to the window position. The Monte Carlo tests are applied for the analysis of performance.