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This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting. This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.
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This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting. This book uses an index map, a polynomial decomposition, an operator factorization, and a conversion to a filter to develop a very general and efficient description of fast algorithms to calculate the discrete Fourier transform (DFT). The work of Winograd is outlined, chapters by Selesnick, Pueschel, and Johnson are included, and computer programs are provided.
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Signal processing --- Digital techniques --- Experiments --- Data processing --- MATLAB --- -681.5 --- Signaalverwerking --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- -Experiments --- -Data processing --- Data processing. --- 681.5 --- Digital techniques&delete& --- Experiments&delete& --- MATLAB. --- MATLAB (Computer program) --- Matrix laboratory --- MATLAB (Computer file) --- Signal processing - Digital techniques - Experiments - Data processing
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Signal processing --- Digital techniques --- Mathematics --- Mathematics. --- Signal processing - Digital techniques - Mathematics
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Signal processing --- Fourier transformations --- Convolutions (Mathematics) --- Traitement du signal --- Transformations de Fourier --- Digital techniques --- Techniques numériques --- Convolution transforms --- Transformations, Convolution --- -#TELE:TMIC --- TMS --- Fourier transformations. --- Convolutions (Mathematics). --- algoritmen --- digitale technieken --- Fourier --- #TELE:TMIC --- #TWER:BOEK --- 681.5 --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Distribution (Probability theory) --- Functions --- Integrals --- 681.5 Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology --- Automatic control engineering. Control systems, techniques, equipment. Cybernetic and automation technology --- Digital signal processing --- Digital communications --- Digital electronics --- Digital techniques. --- Fourier transformatons
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Numerical approximation theory --- Electronics --- elektronica --- Fourier Analysis --- Wavelets (Mathematics) --- Ondelettes --- Signal processing --- Mathematics --- 519.65 --- -Wavelets (Mathematics) --- 517.518.8 --- 519.6 --- Wavelet analysis --- Harmonic analysis --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Approximation. Interpolation --- Approximation of functions by polynomials and their generalizations --- Computational mathematics. Numerical analysis. Computer programming --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 519.65 Approximation. Interpolation --- Fourier Analysis. --- Signal processing - Mathematics
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