An annalytical expression of continuous wavelet-transformation for the elementary nonstationary signal which represents work bending around Gauss forms on sine wave function is found. The complex nonstationary signal is represented in the form of superposition of the elementary nonstationary signals. The formula for restoration of a signal on known value of continuous wavelet transformation is resulted, as well as expressions for local density of a spectrum of energy of a signal and spectral integrals are obtained.