信号与系统：第02章.pptVIP

* * * * * * * * * * * * * * * * * * * * * B. Relations Between Unit Step Response and Unit Impulse Response L L L L (Proof see the book) 2.4 Causal LTI System Described by Differential and Difference Equations 2.4.1 Linear Constant-Coefficient Equation and Continuous- Time LTI System Denote: Linear Constant Differential Equation Continuous-Time LTI System Causal Implicit specification explicit specification given (附加条件，初始状态) 隐式表示 显式表示 particular solution (特解) homogeneous solution (齐次解) More powerful solution see chapter 9 particular (特解) Example 2.14 homogeneous (高等数学知识) solution any function satisfy a solution complex exponential solution solution solution (齐次解) (自然响应) natural response similar to input 2.4.2 Linear Constant-Coefficient Difference Equations Linear Constant-Coefficient Difference Equations describe Causal 与2.4.1相似 Discrete-Time LTI System given Implicit expression 隐式表示 显式表示 explicit expression particular solution (特解) homogeneous solution (齐次解) especially for Difference Equations 递推法求解 More powerful tools see chapter 10 A. Basic Idea Getting Output Signal (Time-Domain Analysis) 信号分解 ① decomposition Basic Signals 响应合成 ③ composition Its Response 信号分解 ① decomposition 响应合成 ③ composition 2.5 Singularity Functions (See the Book) 2.6 Summary (Time Domain Solution to LTI Systems) -Convolution Integral/Sum B. Steps for Getting Output Signal key: How to calculate the convolution integrate/sum * L L * C. Relations between Unite Impulse and Unite Step Response L L 差分 差分 L L 求导 求导 D. Convolution Integral/Sum (Definition and Calculation) E. Properties of Convolution Integral/Sum and Computation of Convolution * * * * * * * * * * * * * * * * * * * * * Chapter2 Linear Time-Invariant System ? Representation of Signal by Impulse Signal — Time – Domain Analysis of LTI system ? Convolution Integral / Sum ? Basic Idea for Analysis of LTI Systems Response of LTI System to Signa