Geometrical relationship between serial signal's time and scanning time in the numerical implement of continuous wavelet transform

One of the key discrete approach for the numerical implement of the continuous wavelet transform is to ascertain geometrical relationship between serial signal's time and scanning time, which is the requirement and basic for wavelet analytic engineering achievement and research in theory. This article disserts the basic theory for the numerical implement of the continuous wavelet transform. According to the highest numeric angle frequency of signal is at or below pi, in this two cases the article respectively deduces geometrical relationship between serial signal's time and scanning time. On this basis, the paper find out the best wavelet scanning time of wavelet transform. These useful conclusions solve a fundamental issue of wavelet analyses in engineering practice and research in theory.