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Discrete signals and inverse problems [[electronic resource] ] : an introduction for engineers and scientists / / J. Carlos Santamarina, Dante Fratta
| Discrete signals and inverse problems [[electronic resource] ] : an introduction for engineers and scientists / / J. Carlos Santamarina, Dante Fratta |
| Autore | Santamarina J. Carlos |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2005 |
| Descrizione fisica | 1 online resource (366 p.) |
| Disciplina | 621.3822 |
| Altri autori (Persone) | FrattaDante |
| Soggetto topico |
Civil engineering - Mathematics
Signal processing - Mathematics Inverse problems (Differential equations) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-280-28754-3
9786610287543 0-470-02189-6 0-470-02188-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Brief Comments on Notation; 1 Introduction; 1.1 Signals, Systems, and Problems; 1.2 Signals and Signal Processing - Application Examples; 1.3 Inverse Problems - Application Examples; 1.4 History - Discrete Mathematical Representation; 1.5 Summary; Solved Problems; Additional Problems; 2 Mathematical Concepts; 2.1 Complex Numbers and Exponential Functions; 2.2 Matrix Algebra; 2.3 Derivatives - Constrained Optimization; 2.4 Summary; Further Reading; Solved Problems; Additional Problems; 3 Signals and Systems; 3.1 Signals: Types and Characteristics
3.2 Implications of Digitization - Aliasing3.3 Elemental Signals and Other Important Signals; 3.4 Signal Analysis with Elemental Signals; 3.5 Systems: Characteristics and Properties; 3.6 Combination of Systems; 3.7 Summary; Further Reading; Solved Problems; Additional Problems; 4 Time Domain Analyses of Signals and Systems; 4.1 Signals and Noise; 4.2 Cross- and Autocorrelation: Identifying Similarities; 4.3 The Impulse Response - System Identification; 4.4 Convolution: Computing the Output Signal; 4.5 Time Domain Operations in Matrix Form; 4.6 Summary; Further Reading; Solved Problems Additional Problems5 Frequency Domain Analysis of Signals (Discrete Fourier Transform); 5.1 Orthogonal Functions - Fourier Series; 5.2 Discrete Fourier Analysis and Synthesis; 5.3 Characteristics of the Discrete Fourier Transform; 5.4 Computation in Matrix Form; 5.5 Truncation, Leakage, and Windows; 5.6 Padding; 5.7 Plots; 5.8 The Two-Dimensional Discrete Fourier Transform; 5.9 Procedure for Signal Recording; 5.10 Summary; Further Reading and References; Solved Problems; Additional Problems; 6 Frequency Domain Analysis of Systems; 6.1 Sinusoids and Systems - Eigenfunctions 6.2 Frequency Response6.3 Convolution; 6.4 Cross-Spectral and Autospectral Densities; 6.5 Filters in the Frequency Domain - Noise Control; 6.6 Determining H with Noiseless Signals (Phase Unwrapping); 6.7 Determining H with Noisy Signals (Coherence); 6.8 Summary; Further Reading and References; Solved Problems; Additional Problems; 7 Time Variation and Nonlinearity; 7.1 Nonstationary Signals: Implications; 7.2 Nonstationary Signals: Instantaneous Parameters; 7.3 Nonstationary Signals: Time Windows; 7.4 Nonstationary Signals: Frequency Windows; 7.5 Nonstationary Signals: Wavelet Analysis 7.6 Nonlinear Systems: Detecting Nonlinearity7.7 Nonlinear Systems: Response to Different Excitations; 7.8 Time-Varying Systems; 7.9 Summary; Further Reading and References; Solved Problems; Additional Problems; 8 Concepts in Discrete Inverse Problems; 8.1 Inverse Problems - Discrete Formulation; 8.2 Linearization of Nonlinear Problems; 8.3 Data-Driven Solution - Error Norms; 8.4 Model Selection - Ockham's Razor; 8.5 Information; 8.6 Data and Model Errors; 8.7 Nonconvex Error Surfaces; 8.8 Discussion on Inverse Problems; 8.9 Summary; Further Reading and References; Solved Problems Additional Problems |
| Record Nr. | UNINA-9910143743203321 |
Santamarina J. Carlos
|
||
| Hoboken, NJ, : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete signals and inverse problems [[electronic resource] ] : an introduction for engineers and scientists / / J. Carlos Santamarina, Dante Fratta
| Discrete signals and inverse problems [[electronic resource] ] : an introduction for engineers and scientists / / J. Carlos Santamarina, Dante Fratta |
| Autore | Santamarina J. Carlos |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2005 |
| Descrizione fisica | 1 online resource (366 p.) |
| Disciplina | 621.3822 |
| Altri autori (Persone) | FrattaDante |
| Soggetto topico |
Civil engineering - Mathematics
Signal processing - Mathematics Inverse problems (Differential equations) |
| ISBN |
1-280-28754-3
9786610287543 0-470-02189-6 0-470-02188-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Brief Comments on Notation; 1 Introduction; 1.1 Signals, Systems, and Problems; 1.2 Signals and Signal Processing - Application Examples; 1.3 Inverse Problems - Application Examples; 1.4 History - Discrete Mathematical Representation; 1.5 Summary; Solved Problems; Additional Problems; 2 Mathematical Concepts; 2.1 Complex Numbers and Exponential Functions; 2.2 Matrix Algebra; 2.3 Derivatives - Constrained Optimization; 2.4 Summary; Further Reading; Solved Problems; Additional Problems; 3 Signals and Systems; 3.1 Signals: Types and Characteristics
3.2 Implications of Digitization - Aliasing3.3 Elemental Signals and Other Important Signals; 3.4 Signal Analysis with Elemental Signals; 3.5 Systems: Characteristics and Properties; 3.6 Combination of Systems; 3.7 Summary; Further Reading; Solved Problems; Additional Problems; 4 Time Domain Analyses of Signals and Systems; 4.1 Signals and Noise; 4.2 Cross- and Autocorrelation: Identifying Similarities; 4.3 The Impulse Response - System Identification; 4.4 Convolution: Computing the Output Signal; 4.5 Time Domain Operations in Matrix Form; 4.6 Summary; Further Reading; Solved Problems Additional Problems5 Frequency Domain Analysis of Signals (Discrete Fourier Transform); 5.1 Orthogonal Functions - Fourier Series; 5.2 Discrete Fourier Analysis and Synthesis; 5.3 Characteristics of the Discrete Fourier Transform; 5.4 Computation in Matrix Form; 5.5 Truncation, Leakage, and Windows; 5.6 Padding; 5.7 Plots; 5.8 The Two-Dimensional Discrete Fourier Transform; 5.9 Procedure for Signal Recording; 5.10 Summary; Further Reading and References; Solved Problems; Additional Problems; 6 Frequency Domain Analysis of Systems; 6.1 Sinusoids and Systems - Eigenfunctions 6.2 Frequency Response6.3 Convolution; 6.4 Cross-Spectral and Autospectral Densities; 6.5 Filters in the Frequency Domain - Noise Control; 6.6 Determining H with Noiseless Signals (Phase Unwrapping); 6.7 Determining H with Noisy Signals (Coherence); 6.8 Summary; Further Reading and References; Solved Problems; Additional Problems; 7 Time Variation and Nonlinearity; 7.1 Nonstationary Signals: Implications; 7.2 Nonstationary Signals: Instantaneous Parameters; 7.3 Nonstationary Signals: Time Windows; 7.4 Nonstationary Signals: Frequency Windows; 7.5 Nonstationary Signals: Wavelet Analysis 7.6 Nonlinear Systems: Detecting Nonlinearity7.7 Nonlinear Systems: Response to Different Excitations; 7.8 Time-Varying Systems; 7.9 Summary; Further Reading and References; Solved Problems; Additional Problems; 8 Concepts in Discrete Inverse Problems; 8.1 Inverse Problems - Discrete Formulation; 8.2 Linearization of Nonlinear Problems; 8.3 Data-Driven Solution - Error Norms; 8.4 Model Selection - Ockham's Razor; 8.5 Information; 8.6 Data and Model Errors; 8.7 Nonconvex Error Surfaces; 8.8 Discussion on Inverse Problems; 8.9 Summary; Further Reading and References; Solved Problems Additional Problems |
| Record Nr. | UNINA-9910829830103321 |
|
Santamarina J. Carlos
|
||
| Hoboken, NJ, : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Discrete signals and inverse problems : an introduction for engineers and scientists / / J. Carlos Santamarina, Dante Fratta
| Discrete signals and inverse problems : an introduction for engineers and scientists / / J. Carlos Santamarina, Dante Fratta |
| Autore | Santamarina J. Carlos |
| Pubbl/distr/stampa | Hoboken, NJ, : Wiley, c2005 |
| Descrizione fisica | 1 online resource (366 p.) |
| Disciplina | 621.382/2 |
| Altri autori (Persone) | FrattaDante |
| Soggetto topico |
Civil engineering - Mathematics
Signal processing - Mathematics Inverse problems (Differential equations) |
| ISBN |
1-280-28754-3
9786610287543 0-470-02189-6 0-470-02188-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; Brief Comments on Notation; 1 Introduction; 1.1 Signals, Systems, and Problems; 1.2 Signals and Signal Processing - Application Examples; 1.3 Inverse Problems - Application Examples; 1.4 History - Discrete Mathematical Representation; 1.5 Summary; Solved Problems; Additional Problems; 2 Mathematical Concepts; 2.1 Complex Numbers and Exponential Functions; 2.2 Matrix Algebra; 2.3 Derivatives - Constrained Optimization; 2.4 Summary; Further Reading; Solved Problems; Additional Problems; 3 Signals and Systems; 3.1 Signals: Types and Characteristics
3.2 Implications of Digitization - Aliasing3.3 Elemental Signals and Other Important Signals; 3.4 Signal Analysis with Elemental Signals; 3.5 Systems: Characteristics and Properties; 3.6 Combination of Systems; 3.7 Summary; Further Reading; Solved Problems; Additional Problems; 4 Time Domain Analyses of Signals and Systems; 4.1 Signals and Noise; 4.2 Cross- and Autocorrelation: Identifying Similarities; 4.3 The Impulse Response - System Identification; 4.4 Convolution: Computing the Output Signal; 4.5 Time Domain Operations in Matrix Form; 4.6 Summary; Further Reading; Solved Problems Additional Problems5 Frequency Domain Analysis of Signals (Discrete Fourier Transform); 5.1 Orthogonal Functions - Fourier Series; 5.2 Discrete Fourier Analysis and Synthesis; 5.3 Characteristics of the Discrete Fourier Transform; 5.4 Computation in Matrix Form; 5.5 Truncation, Leakage, and Windows; 5.6 Padding; 5.7 Plots; 5.8 The Two-Dimensional Discrete Fourier Transform; 5.9 Procedure for Signal Recording; 5.10 Summary; Further Reading and References; Solved Problems; Additional Problems; 6 Frequency Domain Analysis of Systems; 6.1 Sinusoids and Systems - Eigenfunctions 6.2 Frequency Response6.3 Convolution; 6.4 Cross-Spectral and Autospectral Densities; 6.5 Filters in the Frequency Domain - Noise Control; 6.6 Determining H with Noiseless Signals (Phase Unwrapping); 6.7 Determining H with Noisy Signals (Coherence); 6.8 Summary; Further Reading and References; Solved Problems; Additional Problems; 7 Time Variation and Nonlinearity; 7.1 Nonstationary Signals: Implications; 7.2 Nonstationary Signals: Instantaneous Parameters; 7.3 Nonstationary Signals: Time Windows; 7.4 Nonstationary Signals: Frequency Windows; 7.5 Nonstationary Signals: Wavelet Analysis 7.6 Nonlinear Systems: Detecting Nonlinearity7.7 Nonlinear Systems: Response to Different Excitations; 7.8 Time-Varying Systems; 7.9 Summary; Further Reading and References; Solved Problems; Additional Problems; 8 Concepts in Discrete Inverse Problems; 8.1 Inverse Problems - Discrete Formulation; 8.2 Linearization of Nonlinear Problems; 8.3 Data-Driven Solution - Error Norms; 8.4 Model Selection - Ockham's Razor; 8.5 Information; 8.6 Data and Model Errors; 8.7 Nonconvex Error Surfaces; 8.8 Discussion on Inverse Problems; 8.9 Summary; Further Reading and References; Solved Problems Additional Problems |
| Record Nr. | UNINA-9910876970703321 |
|
Santamarina J. Carlos
|
||
| Hoboken, NJ, : Wiley, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||