Translation Invariant Approach for Measuring Similarity of Signals

In many signal processing applications, an appropriate measure to compare two signals plays a fundamental role in both implementing the algorithm and evaluating its performance. Several techniques have been introduced in literature as similarity measures. However, the existing measures are often either impractical for some applications or they have unsatisfactory results in some other applications. This problem becomes more evident when signals involve translations in amplitude and time. This paper presents a new one dimensional similarity measure to compare two signals. The proposed measure accepts transformations like time-shift, amplitude-scale, amplitude-shift, and phase delay in measuring the similarity. The results in this paper indicate that the proposed approach overcomes exiting techniques in measuring similarity among different signals.