Fourier Transform > Convolution product : application to the translation of a wavelet

A signal e(t) can be delayed or advanced by convolving it with a dirac placed at the time of the desired delay. To obtain a translation in time of a delay "a" of the wavelet e(t), we effect an operation called convolution of the wavelet by an impulse function called Dirac d(t), positioned at time "a". The convolution in time of e(t) by d(t) is obtained from the product of the Fourier transforms of e(t) and d(t). The Dirac is unitary element of the convolution product.