In my opinion, this book is an affectation. A scattershot approach with unclear vision is taken to describing modern signal processing in an uneven collection of papers that are already available on the Internet for free download. This book overall fails to form a coherent whole, consistent with the absence of a unifying theme, and it's unclear what single professional aim the editors hoped the various papers together to serve.
The book is useful, at best, for those mathematicians who are interested enough in signal processing to want to read a few topics on which they can chat to impress engineering professors at faculty teas, and who don't know enough about engineering to find rigorous treatments of these topics online, and who don't want to bother to take a few minutes to Google those resources themselves. Like most pointless books, it's available for free download now. I think they're just created for the purposes of providing indirect gratuities to program managers from those who are obliged to honor them, like myself.
With all the chapters are available for free online in pdf form, there really is no point to paying. Affectations, too, are free on the Internet nowadays.
A list of the chapters are:
Hyperbolic Geometry, Nehari's Theorem, Electric Circuits, and Analog Signal Processing, by J. Allen and D. Healy
Engineering Applications of the Motion-Group Fourier Transform, by G. Chirikjian and Y. Wang
Fast X-Ray and Beamlet Transforms for Three-Dimensional Data, by D. Donoho and O. Levi
Fourier Analysis and Phylogenetic Trees, by S. Evans
Diffuse Tomography as a Source of Challenging Nonlinear Inverse Problems for a General Class of Networks, by A. Grünbaum
An Invitation to Matrix-valued Spherical Functions, by A. Grünbaum, I. Pacharoni and J. Tirao
Image Registration for MRI, by P. Kostelec and S. Periaswamy
Image Compression: The Mathematics of JPEG 2000, by Jin Li
Integrated Sensing and Processing for Statistical Pattern Recognition, by C. Priebe, D. Marchette, and D. Healy
Sampling of Functions and Sections for Compact Groups, by D. Maslen
The Cooley--Tukey FFT and Group Theory, by D. Maslen and D. Rockmore
Signal Processing in Optic Fibers, by U. Österberg
The Generalized Spike Process, Sparsity and Statistical Independence, by N. Saito