The main goal of the lecture is to present basic properties of wavelet transforms and some methods of construction of wavelet bases. We will pay special attention to these wavelet transforms which have used to the analysis and the synthesis of sound signals. We also will pay special attention to structures of bases with special properties which have used to the data compression in digital transmissions.
 C.K. Chui, An Introduction to Wavelets, Academic Press, Boston, 1992.
 I. Daubechies, The wavelet transform, Time-frequency localization and signal analysis, IEEE Trans. Inform. Theory 36 (1990), 961-1005.
 I. Daubechies, Ten Lectures on Wavelets, SIAM, Philidelphia, 1992.
 C. Heil, D. Walnut, Continuous and discrete wavelet transforms, SIAM Review 31 (1989), 628-666.
 G. Kaiser, A Friendly Guide to Wavelets, Birkhauser, Boston, 1994.
 D. Kozlow, Wavelets. A tutorial and a bibliography, Rendiconti dell’Instituto di Matematica dell’Universita di Trieste, 26, supplemento (1994).