translation invariant approach for measuring similarity of signals

in many signal processing applications, an appropriate measure to comparetwo signals plays a fundamental role in both implementing the algorithm andevaluating its performance. several techniques have been introduced in literature assimilarity measures. however, the existing measures are often either impractical forsome applications or they have unsatisfactory results in some other applications.this problem becomes more evident when signals involve translations in amplitudeand time. this paper presents a new one dimensional similarity measure to comparetwo signals. the proposed measure accepts transformations like time-shift,amplitude-scale, amplitude-shift, and phase delay in measuring the similarity. theresults in this paper indicate that the proposed approach overcomes exitingtechniques in measuring similarity among different signals.