Translations:Illustrations of spectra/19/en

Let us look at the equal-delay wavelet (1, –1) and the corresponding reverse wavelet (–1, 1) (Figure 11). By definition, an equal-delay wavelet is both a minimum-delay wavelet and a maximum-delay wavelet. The common V-shaped amplitude spectrum touches 0 at frequency 0. The figure shows two $26.6^{\circ }$ lines, one through $\pi /2$ on the vertical axis and the other through $-\pi /2$ on the vertical axis. The minimum-delay phase spectrum is made up of the left side of the $26.6^{\circ }$ line that goes through $\pi /2$ and the right side of the 26.6° line that goes through $-\pi /2$. The opposite is true for the maximum-phase spectrum. These two phase spectra add up to the $45^{\circ }$ line (thin line).