2nd Edition

Signal Processing A Mathematical Approach, Second Edition

By Charles L. Byrne Copyright 2015
440 Pages
by Chapman & Hall

440 Pages 25 B/W Illustrations
by Chapman & Hall

Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics—including familiarity with Fourier series, matrices, probability, and statistics—this Second Edition :... Read more

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.

Biography

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