Translator‘s Preface
Preface to the French Edition
ChapterⅠSignals 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
ChapterⅡPeriodic Signals
Lesson 3 Trigonometric Signals
3.1 Trigonometric polynomials
3.2 Representation in sines and cosines
3.3 Orthogonality
3.4 Exercises
Lesson 4 Periodic Signals and Fourier Series
4.1 The space L2/p(0,a)
4.2 The idea of approimation
……
ChapterⅢ The Discrete Fourier Transform Transform and Numerical Computations
ChapterⅣ The Lebesgue Integral
ChapterⅤ Sapces
ChapterⅥ Hilbert Spaces
ChapterⅦ Analong Filters
ChapterⅧ Distributions
ChapterⅨ Convolution and the Fourier Transform of Distributions
ChapterⅩ Filters and Distributions
ChapterⅪ Sampling and Dicrete Filters
ChapterⅫ Current Trends:Time-Frequency Analysis
References
Index