Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 117 for “"Fourier Transforms"”.
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Approximation and computation of fourier transforms
Thesis (B.S.) Massachusetts Institute of Technology. Dept. of Mathematics, 1956.
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Fast Fourier Transforms on Distributed Memory Parallel Machines
… such algorithms to compute the Discrete Fourier Transform (DFT) of real and complex data. The implementations given in this dissertation work for a class of data distributions commonly encountered in scientific applications, known as the block scattered data distributions. The …
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Projections, slicings and Fourier transforms in the Heisenberg group
… my own contributions to it. Finally, the group Fourier transform in the Heisenberg group is introduced and a novel connection with Hausdorff dimension is discussed.
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Prediction of satellite cloud patterns using spatial Fourier transforms.
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Meteorology, 1972.
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Multi-dimensional continuous wavelet transforms and generalized fourier transforms in Clifford analysis
… analysis domains: Continuous Wavelet Transform, Fourier Transform and Clifford Analysis, and consists of three parts in which these domains interact. The one-dimensional continuous wavelet transform (CWT) is a successful tool for signal and image analysis, with applications in mathematics, …
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Colftar: A Real-Time Electro-Optical System for Two-Dimensional Fourier Transforms
Made available in DSpace on 2014-12-10T19:07:09Z (GMT). No. of bitstreams: 1 7317399.pdf: 4271772 bytes, checksum: 399f5708d1f6de899e282af1d8b326c8 (MD5) Previous issue date: 1972
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Fast multipole-type methods in one and two dimensions, with application to parallel Fourier transforms
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Fourier transforms of Nilpotent Orbits, limit formulas for reductive lie groups, and wave front cycles of tempered representations
… the author gives an explicit formula for the Fourier transform of the canonical measure on a nilpotent coadjoint orbit for GL(n, R). If G is a real, reductive algebraic group, and O C g* = Lie(G)* is a nilpotent coadjoint orbit, a necessary condition is given for 0 to appear in the wave front …
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The Bates model : Fourier Transform for option pricing under jump-diffusions in the South African market
… is to price options under jump diffusions using Fourier Transforms and obtain the implied volatility surface from these option prices.
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LAMINAR TURBULENT TRANSITION - SPECTRAL ANALYSIS AND COHERENT STRUCTURES OF DNS WAVEPACKETS
… and amplitude on the transition process. Fast Fourier transforms (FFT) are then performed to extract the one, two and three-dimensional (3D) spatio-temporal spectra of the flow. In particular, the three-dimensional spectrum yields new information about modes that overlap ambiguously in lower …
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Parallel processor architecture for a digital beacon receiver
… using digital signal processing techniques. Fast Fourier transforms are used to locate the carrier within 0.5 Hz. The outputs of the receiver include the frequency and the power of the carrier.
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Computational Approaches to Silicon-Based Nanostructures
… solution of Schrodinger's equation based on Fast Fourier Transforms is described. Using this simulation method, it becomes possible to solve Schrodinger's equation in the one band approximation for arbitrary band structures, putting a more complete description of high energy states and realistic …
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An analog to the heat equation in complex space variables
… solution, E. It is obtained formally using Fourier transforms. The formula is a linear combination of Fresnel-like integrals, divided by z and a power of t. It is a $$C\infty$$ function except across t = 0. It has a homogeneity property which is similar to the one the standard fundamental …
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Synthesis of mechanisms for function, path, and motion generation using invariant characterization, storage and search methods
… information in a database. Spatial transforms, one-dimensional Fourier transforms, two-dimensional Fourier transforms, and invariant moments are used to generate invariant characteristic descriptors. The resulting characteristic information for each curve is invariant regardless of …
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Multidimensional Geometrical Signal Representation: Constructions and Applications
… condition linking alias-free sampling with the Fourier transform of the indicator function defined on the frequency support. We also derive simple closed-form expressions of these Fourier transforms for a fairly general class of support regions consisting of arbitrary N-dimensional polytopes. …
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Finite activity jump models for option pricing
… processes, with particular emphasis on using Fourier transforms. The focus of the thesis is on using Fourier transform to price European options and Barrier options under the Heston stochastic volatility model and the Bates model. Bates model combines Merton's jump diffusion model and Heston's …
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Fast Fourier transform on a 3D FPGA
Fast Fourier Transforms perform a vital role in many applications from astronomy to cellphones. The complexity of these algorithms results from the many computational steps, including multiplications, they require and, as such, many researchers focus on implementing better FFT systems. However, all …
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Investigating the A-type stars using Kepler data
… by which rotation periods might be measured with Fourier transforms of Kepler data, potentially removing the requirement of spectroscopic observations to acquire similar information. Angular rotational velocities reach their maximum at about A5, but slowly rotating A stars are also seen and these …
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The distribution of the complex rectangular co-ordinates and its applications
… with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplified method of deriving the distribution of …
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