Charles L. Byrne

"The second edition of this book further confirms the skill of its author to combine mathematical rigor with intuitive understanding. ... All chapters are carefully structured such that the reader can make easily an image on the main ideas of each topic, not only from the mathematical point of view but also regarding intuitive interpretations and applications. In fact, the book can be a very good course for advanced undergraduates who will find in it a kind of handbook of connections between mathematical concepts and applications in signal processing. ... The book is worth reading not only by students but also by people wishing to have a broad image on signal processing in its intrinsic relationship with mathematics."—Liviu Goras (Iasi), from Zentralblatt MATH 1321 – 1

• Introduction. Fourier Series and Fourier Transforms. Remote Sensing. Finite-Parameter Models. Transmission and Remote Sensing. The Fourier Transform and Convolution Filtering. Infinite Sequences and Discrete Filters. Convolution and the Vector DFT. Plane-Wave Propagation. The Phase Problem. Transmission Tomography. Random Sequences. Nonlinear Methods. Discrete Entropy Maximization. Analysis and Synthesis. Wavelets. The BLUE and the Kalman Filter. Signal Detection and Estimation. Appendices.

Charles L. Byrne

"The second edition of this book further confirms the skill of its author to combine mathematical rigor with intuitive understanding. ... All chapters are carefully structured such that the reader can make easily an image on the main ideas of each topic, not only from the mathematical point of view but also regarding intuitive interpretations and applications. In fact, the book can be a very good course for advanced undergraduates who will find in it a kind of handbook of connections between mathematical concepts and applications in signal processing. ... The book is worth reading not only by students but also by people wishing to have a broad image on signal processing in its intrinsic relationship with mathematics."—Liviu Goras (Iasi), from Zentralblatt MATH 1321 – 1

• Introduction. Fourier Series and Fourier Transforms. Remote Sensing. Finite-Parameter Models. Transmission and Remote Sensing. The Fourier Transform and Convolution Filtering. Infinite Sequences and Discrete Filters. Convolution and the Vector DFT. Plane-Wave Propagation. The Phase Problem. Transmission Tomography. Random Sequences. Nonlinear Methods. Discrete Entropy Maximization. Analysis and Synthesis. Wavelets. The BLUE and the Kalman Filter. Signal Detection and Estimation. Appendices.