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Signals and systems Chapter 1: Transformations of the independent variable: , , , , , Periodic signals and periodic: , Fundamental period: ; Fundamental frequency: ; Harmonic frequency:, , Fundamental period: , Fundamental frequency: Harmonic frequency:, Even signals and Odd signals: Unit impulse：:; Unit step sequence：: ; Unit impulse function：: , Unit step sequence： :, Pulse: Properties of the system: Linearity Time-invariance Causality Stability Chapter 2 Linear Time-Invariant systems Unit impulse response of discrete-time LTI system : Convolution sum: Computation of Convolution sum: reverse, shift, multiply, sum; Interconncetion of LTI discrete-time systems: Cascade (serial) connection : ; Parallel connection: Properties of LTI system: Causality: Stability: Unit step response: ; Linear constant coefficient difference equation: Order of the difference equation: max(N, M) Solution of the difference equation: natural response , Forded response Zero input response Zero state response Initial/original state start state: unit impulse response and difference equation Unit impulse response of continuous-time LTI system : Convolution integral: Computation of Convolution integral: reverse, shift, multiply, integral; Interconncetion of LTI continuous-time systems: Cascade (serial) connection : ; Parallel connection: Properties of LTI system: Causality: Stability: Unit step response: ; Linear constant coefficient differenal equation: Order of the difference equation: max(N, M) Solution of the difference equation: natural response , Forded response Zero input response Zero state response Initial/original state start state: unit impulse response and differenal equation Chapter 3 Fourier series Response of LTI systems to complex exponentials: Fourier series of continuous-time