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This book is intended as a manual on modern advanced statistical methods for signal processing. The objectives of signal processing are the analysis, synthesis, and modification of signals measured from different natural phenomena, including engineering applications as well. Often the measured signals are affected by noise, distortion and incompleteness, and this makes it difficult to extract significant signal information. The main topic of the book is the extraction of significant information from measured data, with the aim of reducing the data size while keeping the basic information/knowledge about the peculiarities and properties of the analyzed system; to this aim, advanced and recently developed methods in signal analysis and treatment are introduced and described in depth. More in details, the book covers the following new advanced topics (and the corresponding algorithms), including detailed descriptions and discussions: the Eigen-Coordinates (ECs) method, The statistics of the fractional moments, The quantitative "universal" label (QUL) and the universal distribution function for the relative fluctuations (UDFRF), the generalized Prony spectrum, the Non-orthogonal Amplitude Frequency Analysis of the Smoothed Signals (NAFASS), the discrete geometrical invariants (DGI) serving as the common platform for quantitative comparison of different random functions. Although advanced topics are discussed in signal analysis, each subject is introduced gradually, with the use of only the necessary mathematics, and avoiding unnecessary abstractions. Each chapter presents testing and verification examples on real data for each proposed method. In comparison with other books, here it is adopted a more practical approach with numerous real case studies.

Signal processing --- Digital techniques. --- Digital signal processing --- Digital communications --- Digital electronics --- Signal processing. --- Image processing. --- Speech processing systems. --- Engineering—Data processing. --- Discrete mathematics. --- Measure theory. --- Application software. --- Signal, Image and Speech Processing. --- Data Engineering. --- Discrete Mathematics. --- Measure and Integration. --- Computer Appl. in Administrative Data Processing. --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers

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Discrete mathematics --- Measuring methods in physics --- Electronics --- Engineering sciences. Technology --- Programming --- Computer architecture. Operating systems --- Computer. Automation --- DIP (documentimage processing) --- digitale signaalverwerking --- beeldverwerking --- spraaktechnologie --- discrete wiskunde --- applicatiebeheer --- apps --- signal processing --- meettechniek --- ingenieurswetenschappen --- architectuur (informatica) --- signaalprocessoren --- signaalverwerking --- gegevensverwerking

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Mathematics