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OverviewThis revised edition is made up of two parts: theory and applications. Though many of the fundamental results are still valid and used, new and revised material is woven throughout the text. As with the original book, 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 programming environment has also evolved, and the book’s examples are changed accordingly. The applications section is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semi-definite programming form, ready to be solved with algorithms freely available, like those from the libraries SeDuMi, CVX and Pos3Poly. A new chapter discusses applications in super-resolution theory, where Bounded Real Lemma for trigonometric polynomials is an important tool. This revision is written to be more appealing and easier to use for new readers. > Full Product DetailsAuthor: Bogdan DumitrescuPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 2nd ed. 2017 Weight: 4.453kg ISBN: 9783319852171ISBN 10: 3319852175 Pages: 276 Publication Date: 21 July 2018 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsPositive Polynomials.- Gram Matrix Representation.- Multivariate Polynomials.- Polynomials Positive on Domains.- Design of FIR Filters.- Orthogonal Filterbanks.- Stability.- Design of IIR Filters.- Optimization with the Atomic Norm.- Appendix A: Semidefinite Programming.- Appendix B: Spectral Factorization.ReviewsAuthor Information"Bogdan Dumitrescu received his M.S. and Ph.D. from University Politehnica of Bucharest, Romania. He is a Professor with the Department of Automatic Control and Computers, University Politehnica of Bucharest. He held several visiting research positions at Tampere International Center for Signal Processing, Tampere University of Technology, Finland, in particular that of FiDiPro fellow (2010-2013). He was Associate Editor (2008-2012) and Area Editor (2010-2014) at IEEE Transactions on Signal Processing. He is the author of the book ""Positive trigonometric polynomials and signal processing applications"". His scientific interests are in optimization, numerical methods, and their applications to signal processing." Tab Content 6Author Website:Countries AvailableAll regions |
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