An introduction to parametric digital filters and oscillators [[electronic resource] /] / Mikhail Cherniakov

• Record Nr.: UNINA9910830891403321
• Autore: Cherniakov Mikhail
• Pubbl/distr/stampa: Chichester, : Wiley, c2003
• ISBN: 1-280-27219-8; 9786610272198; 0-470-29977-0; 0-470-86824-4; 0-470-86825-2
• Descrizione fisica: 1 online resource (263 p.)
• Disciplina: 621.3815; 621.3815/324; 621.3815324
• Soggetti: Electric filters, Digital; Oscillators, Electric; Parametric devices
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: An Introduction to Parametric Digital Filters and Oscillators; Contents; Preface; 1 Introduction: Basis of Discrete Signals and Digital Filters; 1.1 Discrete Signals and Systems; 1.2 Discrete Signals; 1.2.1 Time-Domain Representation for Discrete Signals; 1.2.2 Presentation of Discrete Signals by Fourier Transform; 1.2.3 Discrete Fourier Transform; 1.2.4 Laplace and z-Transforms; 1.3 Time-Invariant Discrete Linear Systems; 1.3.1 Difference Equation and Impulse Response; 1.3.2 DLS Representation via Transfer Function; 1.4 Stability and Causality of Discrete Systems; 1.5 Frequency Response of a Discrete Linear System1.5.1 Properties of the Frequency Response of a Discrete Linear System; 1.5.2 Transfer Function versus Frequency Response; 1.6 Case Study: Low-Order Filters; 1.6.1 Purely Recursive Filters; 1.6.2 Effects of Word Length Limitation; 1.6.3 Transversal and Combined Filters; 1.7 Summary; 1.8 Abbreviations; 1.9 Variables; 1.10 References; Part One Linear Discrete ; Time-Variant Systems; 2 Main Characteristics of Time-Variant Systems; 2.1 Description of a Linear Time-Variant Discrete System Through Difference Equations; 2.2 Impulse Response; 2.3 Generalized Transfer Function2.4 Signals Analysis in Frequency Domain; 2.5 Sampling Frequency Choice for Linear Time-Variant Discrete Systems; 2.6 Random Signals Processing in Linear Time-Variant Discrete Systems; 2.7 Combinations of Time-Variant Systems; 2.7.1 Parallel Connections; 2.7.2 Cascade Connections; 2.7.3 Systems with Feedback; 2.7.4 Continuous and Discrete LTV Systems; 2.8 Time-Varying Sampling; 2.8.1 Systems with Non-Uniform Sampling; 2.8.2 Systems with Stochastic Sampling Interval; 2.9 Summary; 2.10 Abbreviations; 2.11 Variables; 2.12 References; 3 Periodically Time-Variant Discrete Systems3.1 Difference Equation; 3.2 Impulse Response; 3.3 Generalized Transfer Function and Frequency Response; 3.4 Signals in Periodically Linear Time-Variant Systems; 3.4.1 Bifrequency Function; 3.4.2 Deterministic Signal Processing; 3.4.3 Random Signals Processing; 3.5 Generalization of the Sampling Theorem; 3.6 System Stability; 3.6.1 General Stability Problem; 3.6.2 Selection of Stability Criteria; 3.6.3 Stability Evaluation; 3.6.4 Stability of Parametric Recursive Systems; 3.7 Stability of Second-Order Systems; 3.8 Stability of Stochastic Systems; 3.9 Summary3.10 Abbreviations; 3.11 Variables; 3.12 References; Part Two Parametric Systems; 4 Parametric Filters Analysis; 4.1 Non-Recursive Parametric Filters; 4.2 The First-Order Recursive Parametric Filter; 4.2.1 Impulse Response; 4.2.2 Generalized Transfer Function; 4.3 A Recursive Parametric Filter of the Second Order; 4.3.1 Impulse Response; 4.3.2 Generalized Transfer Function; 4.4 Parametric Filters of an Arbitrary Order; 4.4.1 Direct Equation Solution; 4.4.2 Equation Solution in a State Space; 4.5 Approximate Method for Analysis of Periodical Linear Time-Variant Discrete Systems; 4.6 Summary
• Sommario/riassunto: Since the 1960s Digital Signal Processing (DSP) has been one of the most intensive fields of study in electronics. However, little has been produced specifically on linear non-adaptive time-variant digital filters.* The first book to be dedicated to Time-Variant Filtering* Provides a complete introduction to the theory and practice of one of the subclasses of time-varying digital systems, parametric digital filters and oscillators* Presents many examples demonstrating the application of the techniquesAn indispensable resource for professional engineers, researchers and PhD