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Fundamentals of Signal Processing in Generalized Metric Spaces - Algorithms and Applications (Hardcover)
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Fundamentals of Signal Processing in Generalized Metric Spaces - Algorithms and Applications (Hardcover)
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Exploring the interrelations between generalized metric spaces,
lattice-ordered groups, and order statistics, the book contains a
new algebraic approach to Signal Processing Theory. It describes
mathematical concepts and results important in the development,
analysis, and optimization of signal processing algorithms intended
for various applications. The book offers a solution of large-scale
Signal Processing Theory problems of increasing both signal
processing efficiency under prior uncertainty conditions and signal
processing rate that is provided by multiplication-free signal
processing algorithms based on lattice-ordered group operations.
From simple basic relationships to computer simulation, the text
covers a wide range of new mathematical techniques essential for
understanding the proposed signal processing algorithms developed
for solving the following problems: signal parameter and spectral
estimation, signal filtering, detection, classification, and
resolution; array signal processing; demultiplexing and
demodulation in multi-channel communication systems and
multi-station networks; wavelet analysis of 1D/ 2D signals. Along
with discussing mathematical aspects, each chapter presents
examples illustrating operation of signal processing algorithms
developed for various applications. The book helps readers
understand relations between known classic and obtained results as
well as recent research trends in Signal Processing Theory and its
applications, providing all necessary mathematical background
concerning lattice-ordered groups to prepare readers for
independent work in the marked directions including more advanced
research and development.
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