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
