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Compressed Sensing & Sparse Filtering (Hardcover, 2014 ed.)
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Compressed Sensing & Sparse Filtering (Hardcover, 2014 ed.)
Series: Signals and Communication Technology
Expected to ship within 12 - 17 working days
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This book is aimed at presenting concepts, methods and algorithms
ableto cope with undersampled and limited data. One such trend that
recently gained popularity and to some extent revolutionised signal
processing is compressed sensing. Compressed sensing builds upon
the observation that many signals in nature are nearly sparse (or
compressible, as they are normally referred to) in some domain, and
consequently they can be reconstructed to within high accuracy from
far fewer observations than traditionally held to be necessary.
Apart from compressed sensing this book contains other related
approaches. Each methodology has its own formalities for dealing
with such problems. As an example, in the Bayesian approach,
sparseness promoting priors such as Laplace and Cauchy are normally
used for penalising improbable model variables, thus promoting low
complexity solutions. Compressed sensing techniques and
homotopy-type solutions, such as the LASSO, utilise l1-norm
penalties for obtaining sparse solutions using fewer observations
than conventionally needed. The book emphasizes on the role of
sparsity as a machinery for promoting low complexity
representations and likewise its connections to variable selection
and dimensionality reduction in various engineering problems. This
book is intended for researchers, academics and practitioners with
interest in various aspects and applications of sparse signal
processing.
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