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Fourier Transforms in Radar and Signal Processing.
Fourier transforms are used widely, and are of particular value in the analysis of single functions and combinations of functions found in radar and signal processing. Still, many problems that could have been tackled by using Fourier transforms may have gone unsolved because they require integratio...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Norwood :
Artech House,
2011.
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| Edición: | 2nd ed. |
| Colección: | Artech House radar library.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Fourier Transforms in Radar and Signal Processing Second Edition; Contents; Preface; Preface to the First Edition; 1 Introduction; 1.1 Aim of the Work; 1.2 Origin of the Rules-and-Pairs Method for Fourier Transforms; 1.3 Outline of the Rules-and-Pairs Method; 1.4 The Fourier Transform and Generalized Functions; 1.5 Complex Waveforms and Spectra in Signal Processing; 1.6 Outline of the Contents; References; 2 Rules and Pairs; 2.1 Introduction; 2.2 Notation; 2.2.1 Fourier Transform and Inverse Fourier Transform; 2.2.2 rect and sinc; 2.2.3 d-function and Step Function; 2.2.4 rep and comb.
- 2.2.5 Convolution2.3 Rules and Pairs; 2.4 Four Illustrations; 2.4.1 Narrowband Waveforms; 2.4.2 Parseval's Theorem; 2.4.3 The Wiener-Khinchine Relation; 2.4.4 Sum of Shifted sinc Functions; Appendix 2B: Brief Derivations of the Rules and Pairs; 2B.1 Rules; 2B.2 Pairs; 3 Pulse Spectra; 3.1 Introduction; 3.2 Symmetrical Trapezoidal Pulse; 3.3 Symmetrical Triangular Pulse; 3.4 Asymmetric Trapezoidal Pulse; 3.5 Asymmetric Triangular Pulse; 3.6 Raised Cosine Pulse; 3.7 Rounded Pulses; 3.8 General Rounded Trapezoidal Pulse; 3.9 Regular Train of Identical RF Pulses.
- 3.10 Carrier Gated by a Regular Pulse Train3.11 Pulse Doppler Radar Target Return; 3.12 Summary; 4 Periodic Waveforms, Fourier Series, and Discrete Fourier Transforms; 4.1 Introduction; 4.2 Power Relations for Periodic Waveforms; 4.2.1 Energy and Power; 4.2.2 Power in the d -Function; 4.2.3 General Periodic Function; 4.2.4 Regularly Sampled Function; 4.2.5 Note on Dimensions; 4.3 Fourier Series of Real Functions Using Rules and Pairs; 4.3.1 Fourier Series Coefficients; 4.3.2 Fourier Series of Square Wave; 4.3.3 Fourier Series of Sawtooth; 4.3.4 Fourier Series of Triangular Waves.
- 4.3.5 Fourier Series of Rectified Sinewaves4.4 Discrete Fourier Transforms; 4.4.1 General Discrete Waveform; 4.4.2 Transform of Regular Time Series; 4.4.3 Transform of Sampled Periodic Spectrum; 4.4.4 Fast Fourier Transform; 4.4.5 Examples Illustrating the FFT and DFT; 4.4.6 Matrix Representation of DFT; 4.4.7 Efficient Convolution Using the FFT; 4.5 Summary; Appendix 4A: Spectrum of Time-Limited Waveform; Appendix 4B: Constraint on Repetition Period; 5 Sampling Theory; 5.1 Introduction; 5.2 Basic Technique; 5.3 Wideband Sampling; 5.4 Uniform Sampling; 5.4.1 Minimum Sampling Rate.
- 5.4.2 General Sampling Rate5.5 Hilbert Sampling; 5.6 Quadrature Sampling; 5.6.1 Basic Analysis; 5.6.2 General Sampling Rate; 5.7 Low IF Analytic Signal Sampling; 5.8 High IF Sampling; 5.9 Summary; References; Appendix 5A: The Hilbert Transform; 6 Interpolation for Delayed WaveformTime Series; 6.1 Introduction; 6.2 Spectrum Independent Interpolation; 6.2.1 Minimum Sampling Rate Solution; 6.2.2 Oversampling and the Spectral Gating Condition; 6.2.3 Three Spectral Gates; 6.2.4 Results and Comparisons; 6.3 Least Squared Error Interpolation; 6.3.1 Method of Minimum Residual Error Power.