
最 低 价:¥782.10
定 价:¥869.00
作 者:ClaudeGasquet,Robert D. Ryan 著 著
出 版 社:Oversea Publishing House
出版时间:1998-11-1
I S B N:9780387984858
| Translator's Preface v (2) Preface to the French Edition vii Chapter Ⅰ Signals and Systems Lesson 1 Signals and Systems 1.1 General considerations 1.2 Some elementary signals 1.3 Examples of systems Lesson 2 Filters and Transfer Functions 2.1 Algebraic properties of systems 2.2 Continuity of a system 2.3 The filter and its transfer function 2.4 A standard analog filter: the RC cell 2.5 A first-order discrete filter Chapter Ⅱ Periodic Signals Lesson 3 Trigonometric Signals 3.1 Trigonometric polynomials 3.2 Representation in since and consincs 3.3 Orthogonality 3.4 Exercises Lesson 4 Periodic Signals and Fourier Series 4.1 The space L(2)(p)(0, a) 4.2 The idea of approximation 4.3 Convergence of the approximation 4.4 Fourier coefficients of real, odd, and even functions 4.5 Formulary 4.6 Exercises Lesson 5 Pointwise Representation 5.1 The Riemann-Lebesgue theorem 5.2 Pointwise convergence? 5.3 Uniform convergence of Fourier series 5.4 Exercises Lesson 6 Expanding a Function in an Orthogonal Basis 6.1 Fourier series expansions on a bounded interval 6.2 Expansion of a function in an orthogonal basis 6.3 Exercises Lesson 7 Frequencies, Spectra, and Scales 7.1 Frequencies and spectra 7.2 Variations on the scale 7.3 Exercises Chapter Ⅲ The Discrete Fourier Transform and Numerical Computations Lesson 8 The Discrete Fourier Transform 8.1 Computing the Fourier coefficients 8.2 Some properties of the discrete Fourier transform 8.3 The Fourier transform of real data 8.4 A relation between the exact and approximate Fourier coefficients 8.5 Exercises Lesson 9 A Famous, Lightning-Fast Algorithm 9.1 The Cooley-Tukey algorithm 9.2 Evaluating the cost of the algorithm 9.3 The mirror permutation 9.4 A recursive program 9.5 Exercises Lesson 10 Using a FFT for Numerical Computations 10.1 Computing a periodic convolution 10.2 Nonperiodic convolution 10.3 Computations on high-order polynomials 10.4 Polynomial interpolation and the chebyshev basis 10.5 Exercises Chapter Ⅳ The Lebesgue Integral Chapter Ⅴ Spaces Chapter Ⅵ Convolution and the Fourier Transform of Functions Chapter Ⅶ Analog Filters Chapter Ⅷ Distributions Chapter Ⅹ Filters and Distributions Chapter Ⅸ Convolution and the Fourier Transform of Distributions Chapter Ⅺ Sampling and Discrete Filters Chapter Ⅻ Current Trends: Time-Frequency Analysis References Index |
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