Mathematical principles of signal processing fourier and wavelet analysis / [Book :]
P. Bremaud.
- 1st.ed.
- Berlin ; London : Springer-Verlag, 2002.
- 269 p. : ill. ; 25cm.
Includes bibliographical references and index.
A. Fourier Analysis in L[superscript 1]. A1. Fourier Transforms of Stable Signals. A2. Fourier Series of Locally Stable Periodic Signals. A3. Pointwise Convergence of Fourier Series -- B. Signal Processing. B1. Filtering. B2. Sampling. B3. Digital Signal Processing. B4. Subband Coding -- C. Fourier Analysis in L[superscript 2]. C1. Hilbert Spaces. C2. Complete Orthonormal Systems. C3. Fourier Transforms of Finite-Energy Signals. C4. Fourier Series of Finite-Power Periodic Signals -- D. Wavelet Analysis. D1. The Windowed Fourier Transform. D2. The Wavelet Transform. D3. Wavelet Orthonormal Expansions. D4. Construction of an MRA. D5. Smooth Multiresolution Analysis -- The Lebesgue Integral.