let's assume I have two time series: one with a delta peak at position $x$ and another time series with a minimum phase wavelet that starts at time $y$ with a maximum peak at position $z$.
Now, when I convolve both time series, is the beginning of my minimum-phase wavelet at position $x$ or is the maximum amplitude of the minimum-phase wavelet at position $x$ ?
I know, that when I convolve a zero-phase wavelet, the maximum amplitude is at the position of the delta function.
I am puzzled..........