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Dissertations / Theses on the topic 'Orthogonal function'

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1

Qishan, Zhang. "THE BRIDGE FUNCTION TELEMETRY SYSTEM." International Foundation for Telemetering, 1991. http://hdl.handle.net/10150/612183.

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International Telemetering Conference Proceedings / November 04-07, 1991 / Riviera Hotel and Convention Center, Las Vegas, Nevada<br>Based on the theory of orthogonality, two orthogonal multiplex systems called frequency division multiplexing (FDM) and time division multiplexing (TDM) have long been developed. Therefore, many people tend to think that these two systems represent the ONLY two multiplexing methods that satisfy the orthogonal condition. However, after years of research, we've discovered a new kind of orthogonal functions called Bridge functions. The Bridge functions have
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2

Qishan, Zhang, Zhang Wenguan, and Mu Zhiying. "THE APPLICATION OF ORTHOGONAL FUNCTION TO MULTIPLEX." International Foundation for Telemetering, 1985. http://hdl.handle.net/10150/615706.

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International Telemetering Conference Proceedings / October 28-31, 1985 / Riviera Hotel, Las Vegas, Nevada<br>A unified approach to the multiplex is proposed in terms of the orthogonal functions. It is called quadrature division multiplex, or Q D M in short. The orthogonal function is essential to the multiplex. Except these functions mentioned above, there are other orthogonal functions which are suitable for engineering practice. The orthogonality of the functions is used for the division of signals. A block diagram of Q D M is briefly described. The perfomances of the Q D M system are anal
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3

Le, Thu Hoai. "Hyperholomorphic structures and corresponding explicit orthogonal function systems in 3D and 4D." Doctoral thesis, Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://nbn-resolving.de/urn:nbn:de:bsz:105-qucosa-150508.

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Die Reichhaltigkeit und breite Anwendbarkeit der Theorie der holomorphen Funktionen in der komplexen Ebene ist stark motivierend eine ähnliche Theorie für höhere Dimensionen zu entwickeln. Viele Forscher waren und sind in diese Aufgaben involviert, insbesondere in der Entwicklung der Quaternionenanalysis. In den letzten Jahren wurde die Quaternionenanalysis bereits erfolgreich auf eine Vielzahl von Problemen der mathematischen Physik angewandt. Das Ziel der Dissertation besteht darin, holomorphe Strukturen in höheren Dimensionen zu studieren. Zunächst wird ein neues Holomorphiekonzept vorgeleg
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4

Gishe, Jemal Emina. "A finite family of q-orthogonal polynomials and resultants of Chebyshev polynomials." [Tampa, Fla] : University of South Florida, 2006. http://purl.fcla.edu/usf/dc/et/SFE0001620.

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5

Schwiegerling, Jim. "Diffraction efficiency and aberrations of diffractive elements obtained from orthogonal expansion of the point spread function." SPIE-INT SOC OPTICAL ENGINEERING, 2016. http://hdl.handle.net/10150/622533.

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The Point Spread Function (PSF) indirectly encodes the wavefront aberrations of an optical system and therefore is a metric of the system performance. Analysis of the PSF properties is useful in the case of diffractive optics where the wavefront emerging from the exit pupil is not necessarily continuous and consequently not well represented by traditional wavefront error descriptors such as Zernike polynomials. The discontinuities in the wavefront from diffractive optics occur in cases where step heights in the element are not multiples of the illumination wavelength. Examples include binary o
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6

Devasthale, Abhay, Karl-Göran Karlsson, Johannes Quaas, and Hartmut Graßl. "Correcting orbital drift signal in the time series of AVHRR derived convective cloud fraction using rotated empirical orthogonal function: Correcting orbital drift signal in the time series of AVHRR derivedconvective cloud fraction using rotated empirical orthogonal function." Copernicus Publications, 2012. https://ul.qucosa.de/id/qucosa%3A13465.

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The Advanced Very High Resolution Radiometer (AVHRR) instruments onboard the series of National Oceanic and Atmospheric Administration (NOAA) satellites offer the longest available meteorological data records from space. These satellites have drifted in orbit resulting in shifts in the local time sampling during the life span of the sensors onboard. Depending upon the amplitude of the diurnal cycle of the geophysical parameters derived, orbital drift may cause spurious trends in their time series. We investigate tropical deep convective clouds, which show pronounced diurnal cycle amplitude, to
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7

Vecchione, Stefano Verfasser], та Georg [Akademischer Betreuer] [Fritz. "Development of novel orthogonal genetic circuits, based on extracytoplasmic function (ECF) σ factors / Stefano Vecchione ; Betreuer: Georg Fritz". Marburg : Philipps-Universität Marburg, 2020. http://d-nb.info/1208390988/34.

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8

Choy, Jaeyoo. "Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/198873.

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9

Devasthale, Abhay, Karl-Göran Karlsson, Johannes Quaas, and Hartmut Graßl. "Correcting orbital drift signal in the time series of AVHRR derived convective cloud fraction using rotated empirical orthogonal function." Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-177609.

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The Advanced Very High Resolution Radiometer (AVHRR) instruments onboard the series of National Oceanic and Atmospheric Administration (NOAA) satellites offer the longest available meteorological data records from space. These satellites have drifted in orbit resulting in shifts in the local time sampling during the life span of the sensors onboard. Depending upon the amplitude of the diurnal cycle of the geophysical parameters derived, orbital drift may cause spurious trends in their time series. We investigate tropical deep convective clouds, which show pronounced diurnal cycle amplitude, to
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10

Findley, Elliot M. "Christoffel Function Asymptotics and Universality for Szegő Weights in the Complex Plane." Scholar Commons, 2009. https://scholarcommons.usf.edu/etd/1965.

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In 1991, A. Máté precisely calculated the first-order asymptotic behavior of the sequence of Christoffel functions associated with Szego measures on the unit circle. Our principal goal is the abstraction of his result in two directions: We compute the translated asymptotics, limn λn(µ, x + a/n), and obtain, as a corollary, a universality limit for the fairly broad class of Szego weights. Finally, we prove Máté’s result for measures supported on smooth curves in the plane. Our proof of the latter derives, in part, from a precise estimate of certain weighted means of the Faber polynomials associ
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11

Smaïli, Nasser-Eddine. "Les polynômes e-semi-classiques de classe zéro." Paris 6, 1987. http://www.theses.fr/1987PA066081.

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12

Verdebout, Simon. "On the use of non-orthogonal partition correlation functions in atomic physics: theory and applications." Doctoral thesis, Universite Libre de Bruxelles, 2012. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209620.

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Our thesis tackles the many-electronic problem considering a non-relativistic and a relativistic orbital approach. Using the suites of programs ATSP and GRASP, we are able to approximate many-electron wave functions beyond the independent particle model by considering a superposition of CSFs. The optimization process, based on the variational principle, provides the best possible mixing coefficients fixing the linear combination of CSFs and spin-orbital basis on which we impose the orthonormality condition between functions of the same l or kappa subspace. Using this conventional approach with
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13

Luck, Rodney K. "On the use of two-dimensional orthogonal function expansions to model ocean bathymetric and sound-speed data in the recursive ray acoustics algorithm." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1995. http://handle.dtic.mil/100.2/ADA303056.

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14

Davis, Denise Marie. "Distinguishing Processes that Induce Temporal Beach Profile Changes Using Principal Component Analysis: A Case Study at Long Key, West-central Florida." Scholar Commons, 2013. http://scholarcommons.usf.edu/etd/4881.

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The heavily developed Long Key is located in Pinellas County in west-central Florida. The structured Blind Pass at the north end of the barrier island interrupts the southward longshore sediment transport, resulting in severe and chronic beach erosion along the northern portion of the island. Frequent beach nourishments were conducted to mitigate the erosion. In this study, the performance of the most recent beach nourishment in 2010 is quantified through time-series beach profile surveys. Over the 34-month period, the nourished northern portion of the island, Upham Beach, lost up to 330 m3/m
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15

Kawamura, Koei. "Infinite-variate extensions of Krawtchouk polynomials and zonal spherical functions over a local field." Kyoto University, 2018. http://hdl.handle.net/2433/232216.

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16

Benouahmane, Brahim. "Approximants de Padé et polynômes orthogonaux à deux variables." Rouen, 1992. http://www.theses.fr/1992ROUES051.

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On construit les approximants de type Padé d'une série double en choisissant un polynôme arbitraire comme polynôme générateur de l'approximant. Comme dans le cas d'une variable on montre l'existence d'une liaison naturelle entre la théorie des polynômes orthogonaux et celle des approximants de Padé à deux variables en imposant des conditions supplémentaires sur les polynômes générateurs. Les polynômes orthogonaux par rapport à une fonctionnelle linéaire sont caractérisés par le fait qu'ils vérifient des relations de récurrences. D'autres algorithmes que ces relations pour calculer les approxim
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17

Spitz, Nicolas. "Prediction of Trailing Edge Noise from Two-Point Velocity Correlations." Thesis, Virginia Tech, 2005. http://hdl.handle.net/10919/32637.

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This thesis presents the implementation and validation of a new methodology developed by Glegg et al. (2004) for solving the trailing edge noise problem. This method is based on the premises that the noise produced by a surface can be computed by the integral of the cross product between the velocity and vorticity fields, of the boundary layer and shed vorticity (Howe (1978)). To extract the source terms, proper orthogonal decomposition is applied to the velocity cross spectrum to extract modes of the unsteady velocity and vorticity. The new formulation of the trailing edge noise problem by G
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18

Li, Tianyu. "On the Formulation of a Hybrid Discontinuous Galerkin Finite Element Method (DG-FEM) for Multi-layered Shell Structures." Thesis, Virginia Tech, 2016. http://hdl.handle.net/10919/82962.

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A high-order hybrid discontinuous Galerkin finite element method (DG-FEM) is developed for multi-layered curved panels having large deformation and finite strain. The kinematics of the multi-layered shells is presented at first. The Jacobian matrix and its determinant are also calculated. The weak form of the DG-FEM is next presented. In this case, the discontinuous basis functions can be employed for the displacement basis functions. The implementation details of the nonlinear FEM are next presented. Then, the Consistent Orthogonal Basis Function Space is developed. Given the boundary conditi
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19

Le, Thu Hoai [Verfasser], Wolfgang [Akademischer Betreuer] Sprößig, Wolfgang [Gutachter] Sprößig, Klaus [Gutachter] Gürlebeck, and João Pedro Leitão da Cruz [Gutachter] Morais. "Hyperholomorphic structures and corresponding explicit orthogonal function systems in 3D and 4D / Thu Hoai Le ; Gutachter: Wolfgang Sprößig, Klaus Gürlebeck, João Pedro Leitão da Cruz Morais ; Betreuer: Wolfgang Sprößig." Freiberg : Technische Universitaet Bergakademie Freiberg Universitaetsbibliothek "Georgius Agricola", 2014. http://d-nb.info/1220837601/34.

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20

Phillips, Michael James. "A random matrix model for two-colour QCD at non-zero quark density." Thesis, Brunel University, 2011. http://bura.brunel.ac.uk/handle/2438/5084.

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We solve a random matrix ensemble called the chiral Ginibre orthogonal ensemble, or chGinOE. This non-Hermitian ensemble has applications to modelling particular low-energy limits of two-colour quantum chromo-dynamics (QCD). In particular, the matrices model the Dirac operator for quarks in the presence of a gluon gauge field of fixed topology, with an arbitrary number of flavours of virtual quarks and a non-zero quark chemical potential. We derive the joint probability density function (JPDF) of eigenvalues for this ensemble for finite matrix size N, which we then write in a factorised form.
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21

Graneland, Elsa. "Orthogonal polynomials and special functions." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-418820.

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22

Bates, Lakesha. "ANALYSIS OF TIME SYNCHRONIZATION ERRORS IN HIGH DATA RATE ULTRAWIDEBAN." Master's thesis, University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2582.

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Emerging Ultra Wideband (UWB) Orthogonal Frequency Division Multiplexing (OFDM) systems hold the promise of delivering wireless data at high speeds, exceeding hundreds of megabits per second over typical distances of 10 meters or less. The purpose of this Thesis is to estimate the timing accuracies required with such systems in order to achieve Bit Error Rates (BER) of the order of magnitude of 10-12 and thereby avoid overloading the correction of irreducible errors due to misaligned timing errors to a small absolute number of bits in error in real-time relative to a data rate of hundreds of m
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23

Jameson, Brian Douglas. "A NOVEL MULTI-FUNCTIONAL SOFTWARE-DEFINED RADAR: THEORY & EXPERIMENTS." Miami University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=miami1375821039.

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24

Silva, Rodrigo de Sá da. "Banco Central e preferências assimétricas : uma aplicação de sieve estimators para os EUA e o Brasil." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2011. http://hdl.handle.net/10183/36107.

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Uma questão interessante na política monetária é se os Bancos Centrais dão pesos iguais para desvios positivos e negativos da inflação e do hiato do produto das suas respectivas metas. Para responder à esta questão, estimou-se a função perda da autoridade monetária não parametricamente através do método de sieve estimator, expandindo-a através de uma base composta de polinômios ortogonais. A economia foi modelada com agentes foward-looking e com comprometimento por parte da autoridade monetária. O método foi aplicado para a os Estados Unidos desde 1960 e para o Brasil a partir de 1999. Para a
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25

Evers, Aaron S. "Evaluation and Application of LTE, DVB, and DAB Signals of Opportunity for Passive Bistatic SAR Imaging." Wright State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=wright1398768956.

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26

Quarz, Volker. "Die Generierung von Fahrwegstörungen für vorgegebene Spektraldichten mit Hilfe orthogonaler Funktionen." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2004. http://nbn-resolving.de/urn:nbn:de:swb:14-1099488073625-41555.

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Fahrbahnunebenheiten und Gleislagestörungen können als Repräsentanten schwach stationärer Prozesse aufgefasst werden. Die Beschreibung der Qualitätsklassen von Fahrwegen erfolgt konventionell über die Spektraldichte (Leistungsdichte). Ausgehend von der Spektraldichte-Beschreibung wird die Generierung synthetischer Fahrwegstörungen für die numerische Simulation von Fahrzeugen als Mehrkörpersystem mit den Mitteln der Fourieranalyse und mit Hilfe von Wavelets untersucht<br>Road unevenness and track irregularities can be considered as realisations of weakly stationary stochastic processes. A descr
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27

Fountain, David Wilkes. "Implicit systems : orthogonal functions analysis and geometry." Diss., Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/15750.

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28

McPhillips, Steven J. "Adaptive filter design using discrete orthogonal functions." Thesis, Monterey, Calif. : Naval Postgraduate School, 1992. http://handle.dtic.mil/100.2/ADA247768.

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29

Ren, Xuchun. "Novel computational methods for stochastic design optimization of high-dimensional complex systems." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/1738.

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The primary objective of this study is to develop new computational methods for robust design optimization (RDO) and reliability-based design optimization (RBDO) of high-dimensional, complex engineering systems. Four major research directions, all anchored in polynomial dimensional decomposition (PDD), have been defined to meet the objective. They involve: (1) development of new sensitivity analysis methods for RDO and RBDO; (2) development of novel optimization methods for solving RDO problems; (3) development of novel optimization methods for solving RBDO problems; and (4) development of a n
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30

Pan, Xiaoyun. "M-ary orthogonal modulation using wavelet basis functions." Ohio University / OhioLINK, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1172606087.

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31

Arustei, Adrian. "Development of a System Identification Tool for Subscale Flight Testing." Thesis, Linköpings universitet, Fluida och mekatroniska system, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-157292.

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Aircraft system identification has been widely used to this day in applications like control law design, building simulators or extending flight envelopes. It can also be utilized for determining flight-mechanical characteristics in the preliminary design phase of a flight vehicle. In this thesis, three common time-domain methods were implemented in MATLAB for determining the aerodynamic derivatives of a subscale aircraft. For parameter estimation, the equation-error method is quick, robust and can provide good parameter estimates on its own. The output-error method is computationally intensiv
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32

Yang, Si Kyung. "Orthogonal functionalization strategies in polymeric materials." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31684.

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Thesis (Ph.D)--Chemistry and Biochemistry, Georgia Institute of Technology, 2010.<br>Committee Chair: Weck, Marcus; Committee Member: Breedveld, Victor; Committee Member: Fahrni, Christoph; Committee Member: Kelly, Wendy; Committee Member: Lyon, L. Andrew. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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33

WANG, KWANG SHANG. "FINITE GROUPS FOR WHICH EVERY COMPLEX REPRESENTATION IS REALIZABLE." Diss., The University of Arizona, 1985. http://hdl.handle.net/10150/188019.

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In Chapter 2 we develop the concept of total orthogonality. A number of necessary conditions are derived. Necessary and sufficient conditions for total orthogonality are obtained for 2-groups and for split extensions of elementary abelian 2-groups. A complete description is given for totally orthogonal groups whose character degrees are bounded by 2. Brauer's problem is reduced for Frobenius groups to the corresponding problems for Frobenius kernels and complements. In Chapter 3 classes of examples are presented illustrating the concepts and results of Chapter 2. It is shown, in particular, th
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34

Wade, Jeremy 1981. "Summability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving radon projections for functions on the cylinder." Thesis, University of Oregon, 2009. http://hdl.handle.net/1794/10245.

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vii, 99 p. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number.<br>We investigate Cesàro summability of the Fourier orthogonal expansion of functions on B d × I m , where B d is the closed unit ball in [Special characters omitted] and I m is the m -fold Cartesian product of the interval [-1, 1], in terms of orthogonal polynomials with respect to the weight functions (1 - z ) α (1 + z ) β (1 - |x| 2 ) λ-1/2 , with z ∈ I m and x ∈ B d . In addition, we study a discretized Fourier orthogonal e
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35

Jiménez, Fernández Eduardo. "Vector measure orthogonal sequences in spaces of square integrable functions." Doctoral thesis, Universitat Politècnica de València, 2011. http://hdl.handle.net/10251/13832.

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This doctoral thesis is devoted to the analysis of orthogonal sequences in subspaces of spaces L2(m) of square integrable functions with respect to a Banach space valued countably additive measure m. The motivation of our work is to generalize the geometric arguments that provide the classical approximation procedures in Hilbert spaces. The notion of orthogonality lies in the center of the Hilbert space theory, and it allows to develop the theory of convergence of sequences in these spaces. Almost everywhere convergence, norm convergence and weak convergence are nowadays well known topics in
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36

BAIG, CLEMENT RANJITH ANTHIKKAD &amp IRFAN AHMED. "PERFORMANCE ENHANCEMENT OF OFDM IN PAPR REDUCTION USING NEW COMPANDING TRANSFORM AND ADAPTIVE AC EXTENSION ALGORITHM FOR NEXT GENERATION NETWORKSPERFORMANCE ENHANCEMENT OF OFDM IN PAPR REDUCTION USING NEW COMPANDING TRANSFORM AND ADAPTIVE AC EXTENSION ALGORITHM FOR NEXT GENERATION NETWORKS." Thesis, Blekinge Tekniska Högskola, Sektionen för ingenjörsvetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-6011.

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This paper presents a new hybrid PAPR reduction technique for the OFDM signal, which combines a multiple symbol representations method with a signal clipping method. The clipping method is a nonlinear PAPR reduction scheme, where the amplitude of the signal is limited to a given threshold. Considering the fact that the signal must be interpolated before A/D conversion, a variety of clipping methods has been proposed. Some methods suggest the clipping before interpolation, having the disadvantage of the peaks re-growth. Other methods contributed that the clipping after interpolation, having the
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37

Galiffa, Daniel. "THE SHEFFER B-TYPE 1 ORTHOGONAL POLYNOMIAL SEQUENCES." Doctoral diss., University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3859.

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In 1939, I.M. Sheffer proved that every polynomial sequence belongs to one and only one $type$. Sheffer extensively developed properties of the $B$-\emph{Type 0} polynomial sequences and determined which sets are also orthogonal. He subsequently generalized his classification method to the case of arbitrary $B$-\emph{Type k} by constructing the generalized generating function $A(t)\mathrm=\sum_^\infty$, with $H_i(t)=h_t^i+h_t^+\cdots,\phantomh_\neq 0$. Although extensive research has been done on characterizing polynomial sequences, no analysis has yet been completed on sets of type one or hig
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38

Wade, Jeremy. "Summability of Fourier orthogonal expansions and a discretized Fourier orthogonal expansion involving Radon projections for functions on the cylinder /." Connect to title online (Scholars' Bank) Connect to title online (ProQuest), 2009. http://hdl.handle.net/1794/10245.

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39

Larsson-Cohn, Lars. "Gaussian structures and orthogonal polynomials." Doctoral thesis, Uppsala : Matematiska institutionen, Univ. [distributör], 2002. http://publications.uu.se/theses/91-506-1535-1/.

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Zhang, Bairu. "Functional data analysis in orthogonal designs with applications to gait patterns." Thesis, Queen Mary, University of London, 2018. http://qmro.qmul.ac.uk/xmlui/handle/123456789/44698.

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This thesis presents a contribution to the active research area of functional data analysis (FDA) and is concerned with the analysis of data from complex experimental designs in which the responses are curves. High resolution, closely correlated data sets are encountered in many research fields, but current statistical methodologies often analyse simplistic summary measures and therefore limit the completeness and accuracy of conclusions drawn. Specifically the nature of the curves and experimental design are not taken into account. Mathematically, such curves can be modelled either as sample
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41

Goffard, Pierre-Olivier. "Approximations polynomiales de densités de probabilité et applications en assurance." Thesis, Aix-Marseille, 2015. http://www.theses.fr/2015AIXM4026/document.

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Cette thèse a pour objet d'étude les méthodes numériques d'approximation de la densité de probabilité associée à des variables aléatoires admettant des distributions composées. Ces variables aléatoires sont couramment utilisées en actuariat pour modéliser le risque supporté par un portefeuille de contrats. En théorie de la ruine, la probabilité de ruine ultime dans le modèle de Poisson composé est égale à la fonction de survie d'une distribution géométrique composée. La méthode numérique proposée consiste en une projection orthogonale de la densité sur une base de polynômes orthogonaux. Ces po
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Mi, Wen. "System identification and model reduction with adaptive rational orthogonal basis." Thesis, University of Macau, 2012. http://umaclib3.umac.mo/record=b2581511.

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43

Zhao, Xiaodong. "Orthonormal rational functions via the jury table and their applications /." View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?ELEC%202004%20ZHAO.

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Thesis (Ph. D.)--Hong Kong University of Science and Technology, 2004.<br>Includes bibliographical references (leaves 124-130). Also available in electronic version. Access restricted to campus users.
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Reeves, Justin Martin. "Predictability associated with the downstream impact of the extratropical transition of tropical cyclones." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2005. http://library.nps.navy.mil/uhtbin/hyperion/05Jun%5FReeves.pdf.

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Thesis (M.S. in Meteorology and Physical Oceanography)--Naval Postgraduate School, June 2005.<br>Thesis Advisor(s): Patrick Harr. Includes bibliographical references (p. 95-96). Also available online.
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Dieng, Momar. "Distribution functions for edge eigenvalues in orthogonal and symplectic ensembles : Painlevé representations /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2005. http://uclibs.org/PID/11984.

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46

Douglass, Steven James. "Generalized Energy Condensation Theory." Thesis, Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19751.

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A generalization of multigroup energy condensation theory has been developed. The new method generates a solution within the few-group framework which exhibits the energy spectrum characteristic of a many-group transport solution, without the computational time usually associated with such solutions. This is accomplished by expanding the energy dependence of the angular flux in a set of general orthogonal functions. The expansion leads to a set of equations for the angular flux moments in the few-group framework. The 0th moment generates the standard few-group equation while the higher momen
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47

Johnson, Theodore David. "The Sequential Givens method for adjustment computations in photogrammetry." Thesis, Virginia Tech, 1988. http://hdl.handle.net/10919/44070.

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The Givens orthogonalization algorithm is an efficient alternative to the normal equations method for solving many adjustment problems in photogrammetry. The Givens method is one of a class of methods for solving linear systems known generally as orthogonalization or QR methods. It allows for sequential processing and greatly simplifies the computation of statistics on the observations and residuals. The underlying reason for these advantages is the immediate availability of the orthogonal Q matrix, which is computed as the data are processed and is intimately related to the statistics needed
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48

Mason, Amy. "Correlations of zeros of families of L-functions with orthogonal or symplectic symmetry." Thesis, University of Bristol, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.601101.

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In this thesis, we have explicitly calculated all lower order terms for the n-correlation of zeros of certain families of L-functions. These calculations follow from Conrey and Snaith's similar work for the Riemann zeta function. Katz and Sarnak have argued that the zero statistics of families of L-functions have an underlying symmetry relating to certain ensembles of random matrices. With this in mind, we have looked at a family with orthogonal symmetry (even twists of the Hasse-Weil L-function of a given elliptic curve) and a family with symplectic symmetry (Dirichlet Lfunctions) . Assuming
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49

Yang, Danyu. "Partial sum process of orthogonal series as rough process." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:f48d69b9-29ba-420b-a6b5-55deba847b15.

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In this thesis, we investigate the pathwise regularity of partial sum process of general orthogonal series, and prove that the partial sum process is a geometric 2-rough process under the same condition as in Menshov-Rademacher Theorem. For Fourier series, the condition can be improved, and an equivalent condition on the limit function is identified.
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50

Dhuness, Kahesh. "An offset modulation method used to control the PAPR of an OFDM transmission." Thesis, University of Pretoria, 2012. http://hdl.handle.net/2263/27258.

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Abstract:
Orthogonal frequency division multiplexing (OFDM) has become a very popular method for high-data-rate communication. However, it is well known that OFDM is plagued by a large peak-to-average power ratio (PAPR) problem. This high PAPR results in overdesigned power amplifiers, which amongst other things leads to inefficient amplifier usage, which is undesirable. Various methods have been recommended to reduce the PAPR of an OFDM transmission; however, all these methods result in a number of drawbacks. In this thesis, a novel method called offset modulation (OM-OFDM) is proposed to control the PA
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