Fourier analysis, Short time Fourier transform, uncertainty principle. Wavelet transform, frames, wavelet series. Multiresolution analysis, scaling functions and wavelets. Haar, sine, and spline wavelets. Iterated filter banks. Construction of compactly supported wavelets. Wavelet packets, Bilinear time-frequency distribution. Wigner Distribution, general Cohen's calss. Kernel and characteristic function of TFD's. Kernel design for reduced inteference. Positive distributions.