Brief Notes in Advanced DSP

Based on the authors’ research in Fourier analysis, this text addresses many concepts and applications of DSP. MATLAB® codes illustrate how to apply the ideas in practice. The book describes the discrete Fourier transform, lifting schemes, integer transforms, the discrete cosine transform, and the discrete Hadamard transform. It also examines the decomposition of the 1D signal by section basis signals as well as new forms of the 2D signal/image representation by direction signals/images. Focusing on Fourier transform wavelets and Givens–Haar transforms, the last chapter discusses the problem of signal multiresolution. A solutions manual is available for qualifying instructors.