A computerized method for quantitative analysis of signal related measurements, performed with one or more processors, is disclosed. An estimated signature typifying a characteristic feature of the signal related measurements is produced. Multidimensional statistics on the signal related measurements are computed in a multidimensional space with respect to the estimated signature. Matching likelihoods of the signal related measurements are quantified based on distances of the signal related measurements with respect to a shell manifold derived from the multidimensional statistics and enveloping a signature manifold in the multidimensional space. Multidimensional statistics on the estimated signature and trending and pattern recognition are also possible from the signal multidimensional projection.