This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book 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 applications part is organized as a collection of related problems that use systematically the theoretical results.The Complex Subband Decomposition and its Applications to the Decimation of Large Adaptive Filtering Problems. IEEE Trans. ... Positivity and sum of squares: a guide to some recent results. http://www.math.uni-konstanz.de/a¼scheider/ preprints/guide.pdf, 2003. ... IEEE Trans. Auto. Control, AC-10:461a464, Oct. 1965.  G. Stengle. A Nullstellensatzand aPositivstellensatzin SemialgebraicGeometry.
|Title||:||Positive Trigonometric Polynomials and Signal Processing Applications|
|Author||:||Bogdan Alexandru Dumitrescu|
|Publisher||:||Springer Science & Business Media - 2007-04-27|