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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
| 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
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral logic and its applications for the design of digital devices [[electronic resource] /] / Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola
| 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
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral logic and its applications for the design of digital devices [[electronic resource] /] / Mark G. Karpovsky, Radomir S. Stankovic, Jaakko T. Astola
| 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-9910841072003321 |
|
Karpovsky Mark G
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||