Review of DTFT and digital fi ltering. Multirate fi ltering. Filter banks and subband decomposition of signals. Multiresolution subspaces. Wavelet scaling and basis functions and their design: Haar, Littlewood-Paley, Daubechies, Battle- Lemarie. Denoising and compression applications. Spectrogram, Wigner-Ville, Cohens class of time-frequency distributions and their applications.