Fast algorithms for multidimensional harmonic retrieval [Elektronische Ressource] = Schnelle Algorithmen zur Erkennung von mehrdimensionalen Harmonischen / by Marius Pesavento

Fast Algorithms for MultidimensionalHarmonic RetrievalA DISSERTATIONsubmitted to the Faculty ofElectrical Engineering and Information Sciencesat the Ruhr-Universität Bochumin a fulfillment of the requirementsfor the degree ofDoctor of EngineeringbyMarius PesaventoBochum 2005Schnelle Algorithmen zur Erkennungvon mehrdimensionalen HarmonischenDISSERTATIONzurErlangung des Gradeseines Doktor-IngenieursderFakultät für Elektrotechnik und Informationstechnikan der Ruhr-Universität BochumvonMarius PesaventoBochum 2005Tag der Einreichung: 8. Dezember 2004Tag der Promotion: 2. Februar 2005Referent: Prof. Dr.-Ing. Johann F. BöhmeKorreferent: Prof. Dr.-Ing Alex B. GershmaniAbstractClassic multidimensional harmonic retrieval is the estimation problem in a variety of practicalapplications, including sensor array processing, radar, mobile communications, multiple-inputmultiple-output (MIMO) channel estimation and nuclear magnetic resonance spectroscopy. Nu-merous parametric subspace approaches have been proposed recently to solve this problem,among which the so-called ESPRIT-based algorithms are most popular due to their compu-tational efficiency and comparably simple implementations. In these algorithms certain shiftinvariances contained in the measurements are exploited to estimate the parameters of interestby solving a joint eigenvalue problem.