000 02646nam a22005295i 4500
001 978-1-4020-5125-8
003 DE-He213
005 20170628033458.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402051258
_9978-1-4020-5125-8
024 7 _a10.1007/978-1-4020-5125-8
_2doi
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aDumitrescu, Bogdan.
_eauthor.
245 1 0 _aPositive Trigonometric Polynomials and Signal Processing Applications
_h[electronic resource] /
_cby Bogdan Dumitrescu.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _aXIV, 241 p.
_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,
_x1860-4862
505 0 _aPOSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS POSITIVE ON DOMAINS -- DESIGN OF FIR FILTERS -- ORTHOGONAL FILTERBANKS -- STABILITY -- DESIGN OF IIR FILTERS.
520 _aPositive 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.
650 0 _aEngineering.
650 0 _aMathematics.
650 0 _aMathematical optimization.
650 0 _aEngineering mathematics.
650 0 _aSystems engineering.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aOptimization.
650 2 4 _aSignal, Image and Speech Processing.
650 2 4 _aCircuits and Systems.
650 2 4 _aApplications of Mathematics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402051241
830 0 _aSignals and Communication Technology,
_x1860-4862
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4020-5125-8
912 _aZDB-2-ENG
999 _c15371
_d15371