Compression-based methods of statistical analysis and prediction of time series / / by Boris Ryabko, Jaakko Astola, Mikhail Malyutov |
Autore | Ryabko Boris |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (153 p.) |
Disciplina | 004 |
Soggetto topico |
Data structures (Computer science)
Computer science—Mathematics Natural language processing (Computer science) Statistics Computational linguistics Data Structures and Information Theory Mathematics of Computing Natural Language Processing (NLP) Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Computational Linguistics |
ISBN | 3-319-32253-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Statistical Methods Based on Universal Codes -- Applications to Cryptography -- SCOT-Modeling and Nonparametric Testing of Stationary Strings. |
Record Nr. | UNINA-9910254990103321 |
Ryabko Boris
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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Fourier analysis on finite groups with applications in signal processing and system design / / Radomir S. Stankovic, Claudio Moraga, Jaakko Astola |
Autore | Stankovic Radomir S |
Pubbl/distr/stampa | Piscataway, NJ, : IEEE Press |
Descrizione fisica | 1 online resource (262 p.) |
Disciplina | 621.382/2 |
Altri autori (Persone) |
MoragaClaudio
AstolaJaakko |
Soggetto topico |
Signal processing - Mathematics
Fourier analysis Non-Abelian groups |
ISBN |
1-280-27793-9
9786610277933 0-471-74543-X 1-60119-376-9 0-471-74542-1 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface -- Acknowledgments -- Acronyms -- 1 Signals and Their Mathematical Models -- 1.1 Systems -- 1.2 Signals -- 1.3 Mathematical Models of Signals -- References -- 2 Fourier Analysis -- 2.1 Representations of Groups -- 2.1.1 Complete Reducibility -- 2.2 Fourier Transform on Finite Groups -- 2.3 Properties of the Fourier Transform -- 2.4 Matrix Interpretation of the Fourier Transform on Finite Non-Abelian Groups -- 2.5 Fast Fourier Transform on Finite Non-Abelian Groups -- References -- 3 Matrix Interpretation of the FFT -- 3.1 Matrix Interpretation of FFT on Finite Non-Abelian Groups -- 3.2 Illustrative Examples -- 3.3 Complexity of the FFT -- 3.3.1 Complexity of Calculations of the FFT -- 3.3.2 Remarks on Programming Implememtation of FFT -- 3.4 FFT Through Decision Diagrams -- 3.4.1 Decision Diagrams -- 3.4.2 FFT on Finite Non-Abelian Groups Through DDs -- 3.4.3 MMTDs for the Fourier Spectrum -- 3.4.4 Complexity of DDs Calculation Methods -- References -- 4 Optimization of Decision Diagrams -- 4.1 Reduction Possibilities in Decision Diagrams -- 4.2 Group-Theoretic Interpretation of DD -- 4.3 Fourier Decision Diagrams -- 4.3.1 Fourier Decision Trees -- 4.3.2 Fourier Decision Diagrams -- 4.4 Discussion of Different Decompositions -- 4.4.1 Algorithm for Optimization of DDs -- 4.5 Representation of Two-Variable Function Generator -- 4.6 Representation of Adders by Fourier DD -- 4.7 Representation of Multipliers by Fourier DD -- 4.8 Complexity of NADD -- 4.9 Fourier DDs with Preprocessing -- 4.9.1 Matrix-valued Functions -- 4.9.2 Fourier Transform for Matrix-Valued Functions -- 4.10 Fourier Decision Trees with Preprocessing -- 4.11 Fourier Decision Diagrams with Preprocessing -- 4.12 Construction of FNAPDD -- 4.13 Algorithm for Construction of FNAPDD -- 4.13.1 Algorithm for Representation -- 4.14 Optimization of FNAPDD -- References -- 5 Functional Expressions on Quaternion Groups -- 5.1 Fourier Expressions on Finite Dyadic Groups -- 5.1.1 Finite Dyadic Groups -- 5.2 Fourier Expressions on Q2.
5.3 Arithmetic Expressions -- 5.4 Arithmetic Expressions from Walsh Expansions -- 5.5 Arithmetic Expressions on Q2 -- 5.5.1 Arithmetic Expressions and Arithmetic-Haar Expressions -- 5.5.2 Arithmetic-Haar Expressions and Kronecker Expressions -- 5.6 Different Polarity Polynomials Expressions -- 5.6.1 Fixed-Polarity Fourier Expressions in C(Q2) -- 5.6.2 Fixed-Polarity Arithmetic-HaarExpressions -- 5.7 Calculation of the Arithmetic-Haar Coefficients -- 5.7.1 FFT-like Algorithm -- 5.7.2 Calculation of Arithmetic-Haar Coefficients Through Decision Diagrams -- References -- 6 Gibbs Derivatives on Finite Groups -- 6.1 Definition and Properties of Gibbs Derivatives on Finite Non-Abelian Groups -- 6.2 Gibbs Anti-Derivative -- 6.3 Partial Gibbs Derivatives -- 6.4 Gibbs Differential Equations -- 6.5 Matrix Interpretation of Gibbs Derivatives -- 6.6 Fast Algorithms for Calculation of Gibbs Derivatives on Finite Groups -- 6.6.1 Complexity of Calculation of Gibbs Derivatives -- 6.7 Calculation of Gibbs Derivatives Through DDs -- 6.7.1 Calculation of Partial Gibbs Derivatives. -- References -- 7 Linear Systems on Finite Non-Abelian Groups -- 7.1 Linear Shift-Invariant Systems on Groups -- 7.2 Linear Shift-Invariant Systems on Finite Non-Abelian Groups -- 7.3 Gibbs Derivatives and Linear Systems -- 7.3.1 Discussion -- References -- 8 Hilbert Transform on Finite Groups -- 8.1 Some Results of Fourier Analysis on Finite Non-Abelian Groups -- 8.2 Hilbert Transform on Finite Non-Abelian Groups -- 8.3 Hilbert Transform in Finite Fields -- References -- Index. |
Record Nr. | UNINA-9910876824603321 |
Stankovic Radomir S
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Piscataway, NJ, : IEEE Press | ||
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Lo trovi qui: Univ. Federico II | ||
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Microarray quality control [[electronic resource] /] / Wei Zhang, Ilya Shmulevich, Jaakko Astola |
Autore | Zhang Wei <1963 Oct. 9-> |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Liss, c2004 |
Descrizione fisica | 1 online resource (158 p.) |
Disciplina |
572.8/636
572.8636 |
Altri autori (Persone) |
ShmulevichIlya <1969->
AstolaJaakko |
Soggetto topico | DNA microarrays |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-25337-1
9786610253371 0-470-35740-1 0-471-72624-9 0-471-72854-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Quality of biological samples -- Microarray production: quality of DNA and printing -- Quality of microarray hybridization -- Scanners and data acquisition -- Image analysis -- Quality control in data analysis. |
Record Nr. | UNINA-9910146059703321 |
Zhang Wei <1963 Oct. 9->
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Hoboken, N.J., : Wiley-Liss, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Microarray quality control [[electronic resource] /] / Wei Zhang, Ilya Shmulevich, Jaakko Astola |
Autore | Zhang Wei <1963 Oct. 9-> |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Liss, c2004 |
Descrizione fisica | 1 online resource (158 p.) |
Disciplina |
572.8/636
572.8636 |
Altri autori (Persone) |
ShmulevichIlya <1969->
AstolaJaakko |
Soggetto topico | DNA microarrays |
ISBN |
1-280-25337-1
9786610253371 0-470-35740-1 0-471-72624-9 0-471-72854-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Quality of biological samples -- Microarray production: quality of DNA and printing -- Quality of microarray hybridization -- Scanners and data acquisition -- Image analysis -- Quality control in data analysis. |
Record Nr. | UNINA-9910829803703321 |
Zhang Wei <1963 Oct. 9->
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Hoboken, N.J., : Wiley-Liss, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Microarray quality control / / Wei Zhang, Ilya Shmulevich, Jaakko Astola |
Autore | Zhang Wei <1963 Oct. 9-> |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Liss, c2004 |
Descrizione fisica | 1 online resource (158 p.) |
Disciplina | 572.8/636 |
Altri autori (Persone) |
ShmulevichIlya <1969->
AstolaJaakko |
Soggetto topico | DNA microarrays |
ISBN |
1-280-25337-1
9786610253371 0-470-35740-1 0-471-72624-9 0-471-72854-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Quality of biological samples -- Microarray production: quality of DNA and printing -- Quality of microarray hybridization -- Scanners and data acquisition -- Image analysis -- Quality control in data analysis. |
Record Nr. | UNINA-9910876592003321 |
Zhang Wei <1963 Oct. 9->
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Hoboken, N.J., : Wiley-Liss, c2004 | ||
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Lo trovi qui: Univ. Federico II | ||
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Spectral logic and its applications for the design of digital devices [[electronic resource] /] / Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola |
Autore | Karpovsky Mark G |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
Descrizione fisica | 1 online resource (642 p.) |
Disciplina |
621.39/5
621.395 |
Altri autori (Persone) |
StankovićRadomir S
AstolaJaakko |
Soggetto topico |
Logic design - Methodology
Spectrum analysis Digital electronics - Mathematics Signal processing - Mathematics Spectral theory (Mathematics) |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-36540-1
9786612365409 0-470-28922-8 0-470-28921-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
SPECTRAL LOGIC AND ITS APPLICATIONS FOR THE DESIGN OF DIGITAL DEVICES; CONTENTS; PREFACE; ACKNOWLEDGMENTS; LIST OF FIGURES; LIST OF TABLES; ACRONYMS; 1. LOGIC FUNCTIONS; 1.1 Discrete Functions; 1.2 Tabular Representations of Discrete Functions; 1.3 Functional Expressions; 1.4 Decision Diagrams for Discrete Functions; 1.4.1 Decision Trees; 1.4.2 Decision Diagrams; 1.4.3 Decision Diagrams for Multiple-Valued Functions; 1.5 Spectral Representations of Logic Functions; 1.6 Fixed-polarity Reed-Muller Expressions of Logic Functions; 1.7 Kronecker Expressions of Logic Functions
1.8 Circuit Implementation of Logic Functions2. SPECTRAL TRANSFORMS FOR LOGIC FUNCTIONS; 2.1 Algebraic Structures for Spectral Transforms; 2.2 Fourier Series; 2.3 Bases for Systems of Boolean Functions; 2.3.1 Basis Functions; 2.3.2 Walsh Functions; 2.3.2.1 Ordering of Walsh Functions; 2.3.2.2 Properties of Walsh Functions; 2.3.2.3 Hardware Implementations of Walsh Functions; 2.3.3 Haar Functions; 2.3.3.1 Ordering of Haar Functions; 2.3.3.2 Properties of Haar Functions; 2.3.3.3 Hardware Implementation of Haar Functions; 2.3.3.4 Hardware Implementation of the Inverse Haar Transform 2.4 Walsh Related Transforms2.4.1 Arithmetic Transform; 2.4.2 Arithmetic Expressions from Walsh Expansions; 2.5 Bases for Systems of Multiple-Valued Functions; 2.5.1 Vilenkin-Chrestenson Functions and Their Properties; 2.5.2 Generalized Haar Functions; 2.6 Properties of Discrete Walsh and Vilenkin-Chrestenson Transforms; 2.7 Autocorrelation and Cross-Correlation Functions; 2.7.1 Definitions of Autocorrelation and Cross-Correlation Functions; 2.7.2 Relationships to the Walsh and Vilenkin-Chrestenson Transforms, the Wiener-Khinchin Theorem; 2.7.3 Properties of Correlation Functions 2.7.4 Generalized Autocorrelation Functions2.8 Harmonic Analysis over an Arbitrary Finite Abelian Group; 2.8.1 Definition and Properties of the Fourier Transform on Finite Abelian Groups; 2.8.2 Construction of Group Characters; 2.8.3 Fourier-Galois Transforms; 2.9 Fourier Transform on Finite Non-Abelian Groups; 2.9.1 Representation of Finite Groups; 2.9.2 Fourier Transform on Finite Non-Abelian Groups; 3. CALCULATION OF SPECTRAL TRANSFORMS; 3.1 Calculation of Walsh Spectra; 3.1.1 Matrix Interpretation of the Fast Walsh Transform 3.1.2 Decision Diagram Methods for Calculation of Spectral Transforms3.1.3 Calculation of the Walsh Spectrum Through BDD; 3.2 Calculation of the Haar Spectrum; 3.2.1 FFT-Like Algorithms for the Haar Transform; 3.2.2 Matrix Interpretation of the Fast Haar Transform; 3.2.3 Calculation of the Haar Spectrum Through BDD; 3.3 Calculation of the Vilenkin-Chrestenson Spectrum; 3.3.1 Matrix Interpretation of the Fast Vilenkin-Chrestenson Transform; 3.3.2 Calculation of the Vilenkin-Chrestenson Transform Through Decision Diagrams; 3.4 Calculation of the Generalized Haar Spectrum 3.5 Calculation of Autocorrelation Functions |
Record Nr. | UNINA-9910144704603321 |
Karpovsky Mark G
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Hoboken, N.J., : Wiley-Interscience, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Spectral logic and its applications for the design of digital devices [[electronic resource] /] / Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola |
Autore | Karpovsky Mark G |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
Descrizione fisica | 1 online resource (642 p.) |
Disciplina |
621.39/5
621.395 |
Altri autori (Persone) |
StankovićRadomir S
AstolaJaakko |
Soggetto topico |
Logic design - Methodology
Spectrum analysis Digital electronics - Mathematics Signal processing - Mathematics Spectral theory (Mathematics) |
ISBN |
1-282-36540-1
9786612365409 0-470-28922-8 0-470-28921-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
SPECTRAL LOGIC AND ITS APPLICATIONS FOR THE DESIGN OF DIGITAL DEVICES; CONTENTS; PREFACE; ACKNOWLEDGMENTS; LIST OF FIGURES; LIST OF TABLES; ACRONYMS; 1. LOGIC FUNCTIONS; 1.1 Discrete Functions; 1.2 Tabular Representations of Discrete Functions; 1.3 Functional Expressions; 1.4 Decision Diagrams for Discrete Functions; 1.4.1 Decision Trees; 1.4.2 Decision Diagrams; 1.4.3 Decision Diagrams for Multiple-Valued Functions; 1.5 Spectral Representations of Logic Functions; 1.6 Fixed-polarity Reed-Muller Expressions of Logic Functions; 1.7 Kronecker Expressions of Logic Functions
1.8 Circuit Implementation of Logic Functions2. SPECTRAL TRANSFORMS FOR LOGIC FUNCTIONS; 2.1 Algebraic Structures for Spectral Transforms; 2.2 Fourier Series; 2.3 Bases for Systems of Boolean Functions; 2.3.1 Basis Functions; 2.3.2 Walsh Functions; 2.3.2.1 Ordering of Walsh Functions; 2.3.2.2 Properties of Walsh Functions; 2.3.2.3 Hardware Implementations of Walsh Functions; 2.3.3 Haar Functions; 2.3.3.1 Ordering of Haar Functions; 2.3.3.2 Properties of Haar Functions; 2.3.3.3 Hardware Implementation of Haar Functions; 2.3.3.4 Hardware Implementation of the Inverse Haar Transform 2.4 Walsh Related Transforms2.4.1 Arithmetic Transform; 2.4.2 Arithmetic Expressions from Walsh Expansions; 2.5 Bases for Systems of Multiple-Valued Functions; 2.5.1 Vilenkin-Chrestenson Functions and Their Properties; 2.5.2 Generalized Haar Functions; 2.6 Properties of Discrete Walsh and Vilenkin-Chrestenson Transforms; 2.7 Autocorrelation and Cross-Correlation Functions; 2.7.1 Definitions of Autocorrelation and Cross-Correlation Functions; 2.7.2 Relationships to the Walsh and Vilenkin-Chrestenson Transforms, the Wiener-Khinchin Theorem; 2.7.3 Properties of Correlation Functions 2.7.4 Generalized Autocorrelation Functions2.8 Harmonic Analysis over an Arbitrary Finite Abelian Group; 2.8.1 Definition and Properties of the Fourier Transform on Finite Abelian Groups; 2.8.2 Construction of Group Characters; 2.8.3 Fourier-Galois Transforms; 2.9 Fourier Transform on Finite Non-Abelian Groups; 2.9.1 Representation of Finite Groups; 2.9.2 Fourier Transform on Finite Non-Abelian Groups; 3. CALCULATION OF SPECTRAL TRANSFORMS; 3.1 Calculation of Walsh Spectra; 3.1.1 Matrix Interpretation of the Fast Walsh Transform 3.1.2 Decision Diagram Methods for Calculation of Spectral Transforms3.1.3 Calculation of the Walsh Spectrum Through BDD; 3.2 Calculation of the Haar Spectrum; 3.2.1 FFT-Like Algorithms for the Haar Transform; 3.2.2 Matrix Interpretation of the Fast Haar Transform; 3.2.3 Calculation of the Haar Spectrum Through BDD; 3.3 Calculation of the Vilenkin-Chrestenson Spectrum; 3.3.1 Matrix Interpretation of the Fast Vilenkin-Chrestenson Transform; 3.3.2 Calculation of the Vilenkin-Chrestenson Transform Through Decision Diagrams; 3.4 Calculation of the Generalized Haar Spectrum 3.5 Calculation of Autocorrelation Functions |
Record Nr. | UNINA-9910830247703321 |
Karpovsky Mark G
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Hoboken, N.J., : Wiley-Interscience, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Spectral logic and its applications for the design of digital devices / / Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola |
Autore | Karpovsky Mark G |
Edizione | [1st edition] |
Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
Descrizione fisica | 1 online resource (642 p.) |
Disciplina | 621.39/5 |
Altri autori (Persone) |
StankovicRadomir S
AstolaJaakko |
Soggetto topico |
Logic design - Methodology
Spectrum analysis Digital electronics - Mathematics Signal processing - Mathematics Spectral theory (Mathematics) |
ISBN |
1-282-36540-1
9786612365409 0-470-28922-8 0-470-28921-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
SPECTRAL LOGIC AND ITS APPLICATIONS FOR THE DESIGN OF DIGITAL DEVICES; CONTENTS; PREFACE; ACKNOWLEDGMENTS; LIST OF FIGURES; LIST OF TABLES; ACRONYMS; 1. LOGIC FUNCTIONS; 1.1 Discrete Functions; 1.2 Tabular Representations of Discrete Functions; 1.3 Functional Expressions; 1.4 Decision Diagrams for Discrete Functions; 1.4.1 Decision Trees; 1.4.2 Decision Diagrams; 1.4.3 Decision Diagrams for Multiple-Valued Functions; 1.5 Spectral Representations of Logic Functions; 1.6 Fixed-polarity Reed-Muller Expressions of Logic Functions; 1.7 Kronecker Expressions of Logic Functions
1.8 Circuit Implementation of Logic Functions2. SPECTRAL TRANSFORMS FOR LOGIC FUNCTIONS; 2.1 Algebraic Structures for Spectral Transforms; 2.2 Fourier Series; 2.3 Bases for Systems of Boolean Functions; 2.3.1 Basis Functions; 2.3.2 Walsh Functions; 2.3.2.1 Ordering of Walsh Functions; 2.3.2.2 Properties of Walsh Functions; 2.3.2.3 Hardware Implementations of Walsh Functions; 2.3.3 Haar Functions; 2.3.3.1 Ordering of Haar Functions; 2.3.3.2 Properties of Haar Functions; 2.3.3.3 Hardware Implementation of Haar Functions; 2.3.3.4 Hardware Implementation of the Inverse Haar Transform 2.4 Walsh Related Transforms2.4.1 Arithmetic Transform; 2.4.2 Arithmetic Expressions from Walsh Expansions; 2.5 Bases for Systems of Multiple-Valued Functions; 2.5.1 Vilenkin-Chrestenson Functions and Their Properties; 2.5.2 Generalized Haar Functions; 2.6 Properties of Discrete Walsh and Vilenkin-Chrestenson Transforms; 2.7 Autocorrelation and Cross-Correlation Functions; 2.7.1 Definitions of Autocorrelation and Cross-Correlation Functions; 2.7.2 Relationships to the Walsh and Vilenkin-Chrestenson Transforms, the Wiener-Khinchin Theorem; 2.7.3 Properties of Correlation Functions 2.7.4 Generalized Autocorrelation Functions2.8 Harmonic Analysis over an Arbitrary Finite Abelian Group; 2.8.1 Definition and Properties of the Fourier Transform on Finite Abelian Groups; 2.8.2 Construction of Group Characters; 2.8.3 Fourier-Galois Transforms; 2.9 Fourier Transform on Finite Non-Abelian Groups; 2.9.1 Representation of Finite Groups; 2.9.2 Fourier Transform on Finite Non-Abelian Groups; 3. CALCULATION OF SPECTRAL TRANSFORMS; 3.1 Calculation of Walsh Spectra; 3.1.1 Matrix Interpretation of the Fast Walsh Transform 3.1.2 Decision Diagram Methods for Calculation of Spectral Transforms3.1.3 Calculation of the Walsh Spectrum Through BDD; 3.2 Calculation of the Haar Spectrum; 3.2.1 FFT-Like Algorithms for the Haar Transform; 3.2.2 Matrix Interpretation of the Fast Haar Transform; 3.2.3 Calculation of the Haar Spectrum Through BDD; 3.3 Calculation of the Vilenkin-Chrestenson Spectrum; 3.3.1 Matrix Interpretation of the Fast Vilenkin-Chrestenson Transform; 3.3.2 Calculation of the Vilenkin-Chrestenson Transform Through Decision Diagrams; 3.4 Calculation of the Generalized Haar Spectrum 3.5 Calculation of Autocorrelation Functions |
Record Nr. | UNINA-9910877352603321 |
Karpovsky Mark G
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Hoboken, N.J., : Wiley-Interscience, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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