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 33 for “"perfect reconstruction"”.
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Laurent Polynomial Inverse Matrices and Multidimensional Perfect Reconstruction Systems
Instead of focusing on the application, we are also interested in more theoretical setting. We discuss the conditions on density of the set of invertible (resp.: noninvertible) N x P matrices. Lastly we study the generalized inverse on polynomial (resp.: Laurent polynomial) matrices.
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Perfect Reconstruction Filter Banks for Adaptive Filtering and Coding
This thesis considers the design of perfect reconstruction filter banks (PRFBs) for adaptive filtering and coding applications. The first half of this thesis derives a generalization to the Transform Domain Adaptive Filter (TDAF), which uses filter banks instead of unitary transforms to preprocess …
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Perfect Reconstruction Filter Bank Structure Based On Interpolated FIR Filters
… art filter bank structures achieve practically perfect reconstruction with very high computational efficiency. However, the increase in computational requirements due to the need to process increasingly wider band signals is paramount. New filter bank structures that provide extra information …
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Perfect Reconstruction of Digital Transmission Through Channels With Bounded Additive Noise
… present necessary and sufficient conditions for perfect reconstructability and formulate a framework for the synthesis of an optimal preprocessor.
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Sub -Nyquist Multicoset and MIMO Sampling: Perfect Reconstruction, Performance Analysis, and Necessary Density Conditions
… derive necessary density conditions for stable reconstruction of the channel inputs from the output. These results generalize Landau's sampling density results to the MIMO problem. We then investigate a special case of MIMO sampling called commensurate periodic nonuniform MIMO sampling , for …
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Wavelets and multirate filter banks : theory, structure, design, and applications
… filter banks with properties such as perfect reconstruction, linear phase and regularity. In this thesis, we study multi-channel filter bank factorization and parameterization strategies, which facilitate designs with specified properties that are enforced by the actual factorization …
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*Multidimensional Multirate Systems: Characterization, Design, and Applications
… of multidimensional multirate systems is perfect reconstruction, which guarantees the original input can be perfectly reconstructed from the outputs. The most popular multidimensional multirate systems are multidimensional filter banks, including critically sampled and oversampled ones. …
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Filter-bank transforms with exact inverses
… are introduced and the conditions to obtain perfect reconstruction upon inversion are explored. It is shown that perfect reconstruction requires both filter addition and multiplication and the necessary and sufficient conditions for these operations are given. Examples indicate how to use the …
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Iterative least squares algorithms for digital filter design.
… Quadrature Mirror Filter (QMF) banks, Near Perfect Reconstruction (NPR) Pseudo QMF banks and Perfect Reconstruction (PR) QMF banks. They are fast convergent, simple to implement and flexible compared to traditional nonlinear optimization methods. Short MATLAB programs implementing the …
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Unitary Space-Time Waveform Scheduling for High-Resolution Delay-Doppler MIMO Radar Sensing
… are combined in such a way so as to achieve both perfect separation (of the superimposed returns) AND perfect reconstruction. Perfect reconstruction implies that the sum of the time-autocorrelations associated with each of the four waveforms is a delta function. The net result of the processing of …
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Balanced Multiresolution in Multilevel Focus+Context Visualization
… their balanced decomposition and subsequent perfect reconstruction without the use of any extraordinary boundary filters. We define balanced multiresolution such that it allows balanced decomposition i.e. decomposition of a high-resolution image into a low-resolution image and corresponding …
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Compressive Sensing
… sensing is concerned with both sampling and reconstruction techniques. In this expository, sampling will center on random matrices and expander graphs, while reconstruction will use multiple numerical optimization techniques. Although theoretical performance bounds for these techniques can be …
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Multidimensional Wavelets and Neural Networks
… and therefore the ability to be completed to a perfect reconstruction filterbank. Both - the construction and the filterbank completion - can also be considered in a neural network framework as we will detail in the last section of this thesis alongside with the presentation of corresponding …
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Application of multirate digital signal processing to image compression
… filters. These filters are chosen to satisfy the perfect reconstruction requirement. Simulation results on rectangularly sampled images (including a text image) are presented. Then, the algorithm is applied to the hexagonally resampled images and the results show a slight increase in the …
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Gabor frames with trigonometric spline dual windows
… by another window $h$. If this leads us to a perfect reconstruction, we say that $g$ and $h$ are dual Gabor windows. Few explicit examples of dual window pairs are known. This thesis constructs explicit examples of Gabor dual windows with trigonometric form. The windows have fixed support and …
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FIR filter design using Jacobian elliptic Sn function with wavelet applications.
… multi-resolution filter banks (wavelet-like), perfect reconstruction (PR) is shown to be possible by a novel strategy. In addition, simpler structures that do not provide PR are shown to be valuable in practical applications. Implementation on a DSP board is also presented. Source: Masters …
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Design of optimal equalizers and precoders for MIMO channels
… downlink communication channels under the perfect reconstruction (PR) condition. The closed form solutions are derived and an efficient design algorithm is proposed. The performance evaluations indicate that the optimal precoder design for multiple antennas communication systems proposed …
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Estimation of channelized features in geological media using sparsity constraint
… recently introduced paradigm for estimation and perfect reconstruction of sparse signals from partial linear observations in an incoherent basis. The sparsity constraint is applied in the DCT domain and reconstruction of unknown DCT coefficients is carried out through incorporation of point …
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Execution Trace Reconstruction Using Diffusion-Based Generative Models
… impact subsequent analyses. Solutions for trace reconstruction are notably under explored, and consequently the few existing methods frequently fail to fully utilize contextual information leading to poor performance in complex scenarios. This thesis explores the use of diffusion-based generative …
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Code-division multiplexing
… transforms by proving the equivalence between Perfect Reconstruction and Generalized Nyquist criteria. Using binary data modulation format, we measure and analyze the accuracy of various Gaussian approximation methods for spread-spectrum modulated (SSM) signalling ...
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