Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
Positive Trigonometric Polynomials and Signal Processing Applications (Signals and Communication Technology)

Buy
"The book under review is a new contribution on the topic, with a focus on signal processing applications. … this is the first self-contained manuscript on this emerging research area, and hence it is a welcome and timely contribution to the technical literature. … use of illustrative numerical examples, accompanied by Matlab scripts, allows the inexperienced reader to grasp the essential ideas without having to understand all the mathematical subtelties. In particular, signal processing engineers should benefit a lot from reading the book … ." (Didier Henrion, Zentralblatt MATH, Vol. 1126 (3), 2008)

"Trigonometric polynomials that are positive on the unit circle play an essential role in a number of digital filtering problems. … The text would be quite suitable for use as the basis of lectures, for it has proofs written out, a survey of the literature and many exercises." (A. Bultheel, Mathematical Reviews, Issue 2007 m)

Positive and sum-of-squares polynomials have received a special interest in the latest decade, due to their connections with semidefinite programming. Thus, efficient optimization methods can be employed to solve diverse problems involving polynomials. This book gathers the main recent results on positive trigonometric polynomials within a unitary framework; the theoretical results are obtained partly from the general theory of real polynomials, partly from self-sustained developments. The optimization applications cover a field different from that of real polynomials, mainly in signal processing problems: design of 1-D and 2-D FIR or IIR filters, design of orthogonal filterbanks and wavelets, stability of multidimensional discrete-time systems.

Positive Trigonometric Polynomials and Signal Processing Applications has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The presentation starts by giving the main results for univariate polynomials, which are later extended and generalized for multivariate polynomials. The applications part is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semidefinite programming form, ready to be solved with algorithms freely available, like those from the library SeDuMi.

(HTML tags aren't allowed.)

Knowledge Management Systems: Value Shop Creation
Knowledge Management Systems: Value Shop Creation
was the value chain developed by Porter (1985). Insights emerged, however, that many organizations have no inbound or outbound logistics of importance, they don’t produce goods in a sequential way and they don’t make money only at the end of their value creation. Therefore, two alternative value configurations have been identified:...
The Art of Modeling in Science and Engineering with Mathematica
The Art of Modeling in Science and Engineering with Mathematica
Modeling is practiced in engineering and all physical sciences. Many specialized texts exist - written at a high level - that cover this subject. However, students and even professionals often experience difficulties in setting up and solving even the simplest of models. This can be attributed to three difficulties: the proper choice of model,...
Concurrent and Real-Time Programming in Java
Concurrent and Real-Time Programming in Java
Real-time systems have to respond to externally generated input stimuli within a finite and predictable time. Their correctness depends not only on the logical results of the computations, but also on the time at which those results are produced.

When Java emerged as a serious programming language in 1994, it was treated with...


Solaris 10 System Administration Exam Prep™
Solaris 10 System Administration Exam Prep™

The Solaris 10 System Administrator Certification Exam Prep 2 is the ideal book for both new and seasoned system administrators. This book will give you the insight you need into the newest certification exams for system administrators, the 310-200 and the 310-202. It offers classroom-style...

Knowledge Mapping and Management
Knowledge Mapping and Management

Knowledge Management is fast becoming a hot topic of discussion and research. The capture, use, production and storage of knowledge is an issue of paramount importance for businesses, universities, public and private organizations. Because this is such an important topic, it is essential for researchers, academicians and managers to...

Beyond 401(k)s for Small Business Owners
Beyond 401(k)s for Small Business Owners
The ultimate reference on compensation for small business owners

Beyond 401(k)s for Small Business Owners presents strategies for reducing taxes, planning for your retirement, and rewarding high-performing employees. Expert advice from attorney and CPA Jean Sifleet will help small business owners maximize their own rewards and create an...

©2019 LearnIT (support@pdfchm.net) - Privacy Policy