Based on the authorsa research in Fourier analysis, Brief Notes in Advanced DSP: Fourier Analysis with MATLABAr addresses many concepts and applications of digital signal processing (DSP). The included MATLABAr codes illustrate how to apply the ideas in practice. The book begins with the basic concept of the discrete Fourier transformation and its properties. It then describes lifting schemes, integer transformations, the discrete cosine transform, and the paired transform method for calculating the discrete Hadamard transform. The text also examines the decomposition of the 1D signal by so-called section basis signals as well as new forms of 2D signal/image representation and decomposition by direction signals/images. Focusing on Fourier transform wavelets and GivensaHaar transforms, the last chapter discusses the problem of signal multiresolution. This book presents numerous interesting problems and concepts of unitary transformations, such as the Fourier, Hadamard, Hartley, Haar, paired, cosine, and new signal-induced transformations. It aids readers in using new forms and methods of signals and images in the frequency and frequency-and-time domains.Fourier Analysis with MATLAB Artyom M. Grigoryan, Merughan Grigoryan ... S.C. Knauer, aReal-time video compression algorithm for Hadamard transform processing, a IEEE Trans. ... M. Malfait and D. Roose, aWavelet-based image denoising using a Markov random field a priori model, a IEEE Trans. on Image Processing, anbsp;...

Title | : | Brief Notes in Advanced DSP |

Author | : | Artyom M. Grigoryan, Merughan Grigoryan |

Publisher | : | CRC Press - 2009-02-20 |

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