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The discrete fourier transform [[electronic resource] ] : theory, algorithms and applications / / D. Sundararajan
| The discrete fourier transform [[electronic resource] ] : theory, algorithms and applications / / D. Sundararajan |
| Autore | Sundararajan D |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina | 530.15/5723 |
| Soggetto topico |
Fourier transformations
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95180-3
9786611951801 981-281-029-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Abbreviations; Chapter 1 Introduction; 1.1 The Transform Method; 1.2 The Organization of this Book; Chapter 2 The Discrete Sinusoid; 2.1 Signal Representation; 2.2 The Discrete Sinusoid; 2.3 Summary and Discussion; Chapter 3 The Discrete Fourier Transform; 3.1 The Fourier Analysis and Synthesis of Waveforms; 3.2 The DFT and the IDFT; 3.3 DFT Representation of Some Signals; 3.4 Direct Computation of the DFT; 3.5 Advantages of Sinusoidal Representation of Signals; 3.6 Summary; Chapter 4 Properties of the DFT; 4.1 Linearity; 4.2 Periodicity
4.3 Circular Shift of a Time Sequence 4.4 Circular Shift of a Spectrum; 4.5 Time-Reversal Property; 4.6 Symmetry Properties; 4.7 Transform of Complex Conjugates; 4.8 Circular Convolution and Correlation; 4.9 Sum and Difference of Sequences; 4.10 Padding the Data with Zeros; 4.11 Parseval's Theorem; 4.12 Summary; Chapter 5 Fundamentals of the PM DFT Algorithms; 5.1 Vector Format of the DFT; 5.2 Direct Computation of the DFT with Vectors; 5.3 Vector Format of the IDFT; 5.4 The Computation of the IDFT; 5.5 Fundamentals of the PM DIT DFT Algorithms; 5.6 Fundamentals of the PM DIF DFT Algorithms 5.7 The Classification of the PM DFT Algorithms 5.8 Summary; Chapter 6 The u X 1 PM DFT Algorithms; 6.1 The u x 1 PM DIT DFT Algorithms; 6.2 The 2 x 1 PM DIT DFT Algorithm; 6.3 Reordering of the Input Data; 6.4 Computation of a Single DFT Coefficient; 6.5 The u x 1 PM DIF DFT Algorithms; 6.6 The 2 x 1 PM DIF DFT Algorithm; 6.7 Computational Complexity of the 2 x 1 PM DFT Algorithms; 6.8 The 6 x 1 PM DIT DFT Algorithm; 6.9 Flow Chart Description of the 2 x 1 PM DIT DFT Algorithm; 6.10 Summary; Chapter 7 The 2 x 2 PM DFT Algorithms; 7.1 The 2 x 2 PM DIT DFT Algorithm 7.2 The 2 x 2 PM DIF DFT Algorithm 7.3 Computational Complexity of the 2 x 2 PM DFT Algorithms; 7.4 Summary; Chapter 8 DFT Algorithms for Real Data - I; 8.1 The Direct Use of an Algorithm for Complex Data; 8.2 Computation of the DFTs of Two Real Data Sets at a Time; 8.3 Computation of the DFT of a Single Real Data Set; 8.4 Summary; Chapter 9 DFT Algorithms for Real Data - II; 9.1 The Storage of Data in PM RDFT and RIDFT Algorithms; 9.2 The 2 x 1 PM DIT RDFT Algorithm; 9.3 The 2 x 1 PM DIF RIDFT Algorithm; 9.4 The 2 x 2 PM DIT RDFT Algorithm; 9.5 The 2 x 2 PM DIF RIDFT Algorithm 9.6 Summary and Discussion Chapter 10 Two-Dimensional Discrete Fourier Transform; 10.1 The 2-D DFT and IDFT; 10.2 DFT Representation of Some 2-D Signals; 10.3 Computation of the 2-D DFT; 10.4 Properties of the 2-D DFT; 10.5 The 2-D PM DFT Algorithms; 10.6 Summary; Chapter 11 Aliasing and Other Effects; 11.1 Aliasing Effect; 11.2 Leakage Effect; 11.3 Picket-Fence Effect; 11.4 Summary and Discussion; Chapter 12 The Continuous-Time Fourier Series; 12.1 The 1-D Continuous-Time Fourier Series; 12.2 The 2-D Continuous-Time Fourier Series; 12.3 Summary Chapter 13 The Continuous-Time Fourier Transform |
| Record Nr. | UNINA-9910454400803321 |
Sundararajan D
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The discrete fourier transform [[electronic resource] ] : theory, algorithms and applications / / D. Sundararajan
| The discrete fourier transform [[electronic resource] ] : theory, algorithms and applications / / D. Sundararajan |
| Autore | Sundararajan D |
| Pubbl/distr/stampa | Singapore ; ; River Edge, NJ, : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (392 p.) |
| Disciplina | 530.15/5723 |
| Soggetto topico |
Fourier transformations
Mathematical physics |
| ISBN |
1-281-95180-3
9786611951801 981-281-029-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Abbreviations; Chapter 1 Introduction; 1.1 The Transform Method; 1.2 The Organization of this Book; Chapter 2 The Discrete Sinusoid; 2.1 Signal Representation; 2.2 The Discrete Sinusoid; 2.3 Summary and Discussion; Chapter 3 The Discrete Fourier Transform; 3.1 The Fourier Analysis and Synthesis of Waveforms; 3.2 The DFT and the IDFT; 3.3 DFT Representation of Some Signals; 3.4 Direct Computation of the DFT; 3.5 Advantages of Sinusoidal Representation of Signals; 3.6 Summary; Chapter 4 Properties of the DFT; 4.1 Linearity; 4.2 Periodicity
4.3 Circular Shift of a Time Sequence 4.4 Circular Shift of a Spectrum; 4.5 Time-Reversal Property; 4.6 Symmetry Properties; 4.7 Transform of Complex Conjugates; 4.8 Circular Convolution and Correlation; 4.9 Sum and Difference of Sequences; 4.10 Padding the Data with Zeros; 4.11 Parseval's Theorem; 4.12 Summary; Chapter 5 Fundamentals of the PM DFT Algorithms; 5.1 Vector Format of the DFT; 5.2 Direct Computation of the DFT with Vectors; 5.3 Vector Format of the IDFT; 5.4 The Computation of the IDFT; 5.5 Fundamentals of the PM DIT DFT Algorithms; 5.6 Fundamentals of the PM DIF DFT Algorithms 5.7 The Classification of the PM DFT Algorithms 5.8 Summary; Chapter 6 The u X 1 PM DFT Algorithms; 6.1 The u x 1 PM DIT DFT Algorithms; 6.2 The 2 x 1 PM DIT DFT Algorithm; 6.3 Reordering of the Input Data; 6.4 Computation of a Single DFT Coefficient; 6.5 The u x 1 PM DIF DFT Algorithms; 6.6 The 2 x 1 PM DIF DFT Algorithm; 6.7 Computational Complexity of the 2 x 1 PM DFT Algorithms; 6.8 The 6 x 1 PM DIT DFT Algorithm; 6.9 Flow Chart Description of the 2 x 1 PM DIT DFT Algorithm; 6.10 Summary; Chapter 7 The 2 x 2 PM DFT Algorithms; 7.1 The 2 x 2 PM DIT DFT Algorithm 7.2 The 2 x 2 PM DIF DFT Algorithm 7.3 Computational Complexity of the 2 x 2 PM DFT Algorithms; 7.4 Summary; Chapter 8 DFT Algorithms for Real Data - I; 8.1 The Direct Use of an Algorithm for Complex Data; 8.2 Computation of the DFTs of Two Real Data Sets at a Time; 8.3 Computation of the DFT of a Single Real Data Set; 8.4 Summary; Chapter 9 DFT Algorithms for Real Data - II; 9.1 The Storage of Data in PM RDFT and RIDFT Algorithms; 9.2 The 2 x 1 PM DIT RDFT Algorithm; 9.3 The 2 x 1 PM DIF RIDFT Algorithm; 9.4 The 2 x 2 PM DIT RDFT Algorithm; 9.5 The 2 x 2 PM DIF RIDFT Algorithm 9.6 Summary and Discussion Chapter 10 Two-Dimensional Discrete Fourier Transform; 10.1 The 2-D DFT and IDFT; 10.2 DFT Representation of Some 2-D Signals; 10.3 Computation of the 2-D DFT; 10.4 Properties of the 2-D DFT; 10.5 The 2-D PM DFT Algorithms; 10.6 Summary; Chapter 11 Aliasing and Other Effects; 11.1 Aliasing Effect; 11.2 Leakage Effect; 11.3 Picket-Fence Effect; 11.4 Summary and Discussion; Chapter 12 The Continuous-Time Fourier Series; 12.1 The 1-D Continuous-Time Fourier Series; 12.2 The 2-D Continuous-Time Fourier Series; 12.3 Summary Chapter 13 The Continuous-Time Fourier Transform |
| Record Nr. | UNINA-9910782389603321 |
|
Sundararajan D
|
||
| Singapore ; ; River Edge, NJ, : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||