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001 978-3-319-53688-0
003 DE-He213
005 20220801221118.0
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008 170321s2017 sz | s |||| 0|eng d
020 _a9783319536880
_9978-3-319-53688-0
024 7 _a10.1007/978-3-319-53688-0
_2doi
050 4 _aTK5102.9
072 7 _aTJF
_2bicssc
072 7 _aUYS
_2bicssc
072 7 _aTEC008000
_2bisacsh
072 7 _aTJF
_2thema
072 7 _aUYS
_2thema
082 0 4 _a621.382
_223
100 1 _aDumitrescu, Bogdan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_954189
245 1 0 _aPositive Trigonometric Polynomials and Signal Processing Applications
_h[electronic resource] /
_cby Bogdan Dumitrescu.
250 _a2nd ed. 2017.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXVI, 276 p. 51 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSignals and Communication Technology,
_x1860-4870
505 0 _aPositive 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.
520 _aThis 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 books 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. < Features updated information on LMI parameterizations of sum-of-squares trigonometric polynomials; Contains applications in optimization of 1-D and 2-D filter design, orthogonal filterbanks; Includes a new chapter dedicated to applications in super-resolution theory that connects to a currently very active research area.
650 0 _aSignal processing.
_94052
650 0 _aEngineering mathematics.
_93254
650 0 _aEngineering—Data processing.
_931556
650 0 _aElectronic circuits.
_919581
650 0 _aMathematical analysis.
_911486
650 0 _aGeometry.
_921224
650 0 _aMathematical optimization.
_94112
650 1 4 _aSignal, Speech and Image Processing .
_931566
650 2 4 _aMathematical and Computational Engineering Applications.
_931559
650 2 4 _aElectronic Circuits and Systems.
_954190
650 2 4 _aAnalysis.
_931580
650 2 4 _aGeometry.
_921224
650 2 4 _aOptimization.
_954191
710 2 _aSpringerLink (Online service)
_954192
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319536873
776 0 8 _iPrinted edition:
_z9783319536897
776 0 8 _iPrinted edition:
_z9783319852171
830 0 _aSignals and Communication Technology,
_x1860-4870
_954193
856 4 0 _uhttps://doi.org/10.1007/978-3-319-53688-0
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79305
_d79305