Fundamentals of Signal Processing in Metric Spaces with Lattice Properties
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portes grátis
Fundamentals of Signal Processing in Metric Spaces with Lattice Properties
Algebraic Approach
Popoff, Andrey
Taylor & Francis Ltd
11/2017
418
Dura
Inglês
9781138099388
15 a 20 dias
Descrição não disponível.
1 General Ideas of Natural Science, Signal Theory, and Information Theory 1.1 General System of Notions and Principles of Modern Research Methodology 1.2 Information Theory and Natural Sciences 1.3 Overcoming Logical Difficulties 2 Information Carrier Space Built upon Generalized Boolean Algebra with a Measure 2.1 Information Carrier Space 2.2 Geometrical Properties of Metric Space Built upon Generalized Boolean Algebra 2.3 Informational Properties of Information Carrier Space 3 Informational Characteristics and Properties of Stochastic Processes 3.1 Normalized Function of Statistical Interrelationship of Stochastic Processes 3.2 Normalized Measure of Statistical Interrelationship of Stochastic Processes 3.3 Probabilistic Measure of Statistical Interrelationship of Stochastic Processes 3.4 Information Distribution Density of Stochastic Processes 3.5 Informational Characteristics and Properties of Stochastic Processes 4 Signal Spaces with Lattice Properties 4.1 Physical and Informational Signal Spaces 4.2 Homomorphic Mappings in Signal Space Built upon Generalized Boolean Algebra 4.3 Features of Signal Interaction in Signal Spaces with Various Algebraic Properties 4.4 Metric and Informational Relationships between Signals Interacting in Signal Space 5 Communication Channel Capacity 5.1 Information Quantity Carried by Discrete and Continuous Signals 5.2 Capacity of Noiseless Communication Channels 6 Quality Indices of Signal Processing in Metric Spaces with L-group Properties 6.1 Formulation of Main Signal Processing Problems 6.2 Quality Indices of Signal Filtering in Metric Spaces with L-group Properties 6.3 Quality Indices of Unknown Nonrandom Parameter Estimation 6.4 Quality Indices of Classification and Detection of Deterministic Signals 6.5 Capacity of Communication Channels Operating in the Presence of Interference (Noise) 6.6 Quality Indices of Signal Resolution-Detection in Metric Spaces with L-group Properties 6.7 Quality Indices of Signal Resolution-Estimation in Metric Spaces with Lattice Properties 7 Synthesis and Analysis of Signal Processing Algorithms 7.1 Signal Spaces with Lattice Properties 7.2 Estimation of Unknown Nonrandom Parameter in Sample Space with Lattice Properties 7.3 Extraction of Stochastic Signal in the Presence of Interference (Noise) 7.4 Signal Detection in Metric Space with Lattice Properties 7.5 Classification of Deterministic Signals in Metric Space with Lattice Properties 7.6 Resolution of Radio Frequency Pulses in Metric Space with Lattice Properties 7.7 Methods of Mapping of Signal Spaces into Signal Space with Lattice Properties Conclusion Bibliography Index
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1 General Ideas of Natural Science, Signal Theory, and Information Theory 1.1 General System of Notions and Principles of Modern Research Methodology 1.2 Information Theory and Natural Sciences 1.3 Overcoming Logical Difficulties 2 Information Carrier Space Built upon Generalized Boolean Algebra with a Measure 2.1 Information Carrier Space 2.2 Geometrical Properties of Metric Space Built upon Generalized Boolean Algebra 2.3 Informational Properties of Information Carrier Space 3 Informational Characteristics and Properties of Stochastic Processes 3.1 Normalized Function of Statistical Interrelationship of Stochastic Processes 3.2 Normalized Measure of Statistical Interrelationship of Stochastic Processes 3.3 Probabilistic Measure of Statistical Interrelationship of Stochastic Processes 3.4 Information Distribution Density of Stochastic Processes 3.5 Informational Characteristics and Properties of Stochastic Processes 4 Signal Spaces with Lattice Properties 4.1 Physical and Informational Signal Spaces 4.2 Homomorphic Mappings in Signal Space Built upon Generalized Boolean Algebra 4.3 Features of Signal Interaction in Signal Spaces with Various Algebraic Properties 4.4 Metric and Informational Relationships between Signals Interacting in Signal Space 5 Communication Channel Capacity 5.1 Information Quantity Carried by Discrete and Continuous Signals 5.2 Capacity of Noiseless Communication Channels 6 Quality Indices of Signal Processing in Metric Spaces with L-group Properties 6.1 Formulation of Main Signal Processing Problems 6.2 Quality Indices of Signal Filtering in Metric Spaces with L-group Properties 6.3 Quality Indices of Unknown Nonrandom Parameter Estimation 6.4 Quality Indices of Classification and Detection of Deterministic Signals 6.5 Capacity of Communication Channels Operating in the Presence of Interference (Noise) 6.6 Quality Indices of Signal Resolution-Detection in Metric Spaces with L-group Properties 6.7 Quality Indices of Signal Resolution-Estimation in Metric Spaces with Lattice Properties 7 Synthesis and Analysis of Signal Processing Algorithms 7.1 Signal Spaces with Lattice Properties 7.2 Estimation of Unknown Nonrandom Parameter in Sample Space with Lattice Properties 7.3 Extraction of Stochastic Signal in the Presence of Interference (Noise) 7.4 Signal Detection in Metric Space with Lattice Properties 7.5 Classification of Deterministic Signals in Metric Space with Lattice Properties 7.6 Resolution of Radio Frequency Pulses in Metric Space with Lattice Properties 7.7 Methods of Mapping of Signal Spaces into Signal Space with Lattice Properties Conclusion Bibliography Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
