Multiscale autoregressive models and wavelets
نویسندگان
چکیده
منابع مشابه
Multiscale Autoregressive Models and Wavelets
The multiscale autoregressive (MAR) framework was introduced to support the development of optimal multiscale statistical signal processing. Its power resides in the fast and flexible algorithms to which it leads. While the MAR framework was originally motivated by wavelets, the link between these two worlds has been previously established only in the simple case of the Haar wavelet. The first ...
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The multiscale autoregressive (MAR) framework was introduced to support the development of optimal multiscale statistical signal processing. Its power resides in the fast and exible algorithms to which it leads. While the MAR framework was originally motivated by wavelets, the link between these two worlds has been previously established only in the simple case of the Haar wavelet. The rst cont...
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Multiresolution signal and image models such as the hidden Markov tree (HMT) aim to capture the statistical structures of smooth and singular (textured and edgy) regions. Unfortunately, models based on the orthogonal wavelet transform suffer from shift-variance, making them less accurate and realistic. In this paper, we extend the HMT modeling framework to the complex wavelet transform, which f...
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In this paper we develop a stochastic realization theory for multiscale autoregressive (MAR) processes that leads to computationally eecient realization algorithms. The utility of MAR processes has been limited by the fact that the previously known general purpose realization algorithm, based on canonical correlations, leads to model inconsistencies and has complexity quartic in problem size. O...
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In this paper we develop a stochastic realization theory for multiscale autoregressive (MAR) processes that leads to computationally ecient realization algorithms. The utility of MAR processes has been limited by the fact that the previously known general purpose realization algorithm, based on canonical correlations, leads to model inconsistencies and has complexity quartic in problem size. O...
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 1999
ISSN: 0018-9448
DOI: 10.1109/18.761321