Content C1-4: Time-domain analysis of Linear and Time- invariant Networks ( Analysis of First Order Circuit) < Principles of Circuit analysis) a dynamic state and steady state Introductory Linear Circuit Analysis typical source signals(stimulating signal) definition of initial state(initial value, initial conditions Lecture 3 Time-domain analysis of dynamic circuits C1-5: Analysis of sinusoidal Steady-state Circuit 2009.09.22 ( Complex Solution to Linear and Time-invariant Circuits) Complex method and phasor method, impedance and admittance The power of sinusoidal steady-state (self-study) he stability of networks, transfer functi Terms and diagrams of linear systems Terms and diagrams of linear circuits N N N network systems simplification mulation N to,(respe svstem Terms of linear system Terms of linear system u There is two origin of input signals(stimulation) d output(response) the response of load circuit(v(o), iD) >independent source Customarily: zero-input response Yzi-> stimulation by initial value >energy storage element whose initial value is not zero zero-state response Yzs-> stimulation by independent source Customarily: zero-input network(zi): independent source=0 overall response: Y(tFYzi(t)+Yzs(t) zero-state network(zs): initial value =0 plified expression Simplified expression output output (stimulation) (response) (response)第 ？讲： 复习 《Principles of Circuit Analysis》 Introductory Linear Circuit Analysis Lecture 3 2009.09.22 Interest Focus Persistence Originality 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Content C1-4: Time-domain analysis of Linear and Time￾invariant Networks (Analysis of First Order Circuit)  dynamic state and steady state typical source signals (stimulating signal) definition of initial state (initial value, initial conditions) Time-domain analysis of dynamic circuits C1-5: Analysis of sinusoidal Steady-state Circuit （Complex Solution to Linear and Time-invariant Circuits） Complex method and phasor method, impedance and admittance The complex form of elements, law and theorem The power of sinusoidal steady-state (self-study) The stability of networks, transfer function 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Terms and diagrams of linear systems: systems circuits networks Ns Ns NL NN NL Control Station Up￾Link Down￾Link Back bone Net￾work Optical mm-wave WDM Sources M U X D E M U X λu1 λu2 ...λuN BS1 : EDFA λu1 λu2 ...λuN User Terminal Data Down Data Up BS2 BSn Mm-wave Wireless Link Photo Detector : : : : : λd1 λd2 ...λdN ROF communication system 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Terms and diagrams of linear systems: Ns Ns NL NN NL N x(t) y(t) simplification input （ stimulation ） output （response） A τ D ∫ ∑ 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Terms of linear system N x(t) y(t) Simplified expression input (stimulation) output (response) ‰ There is two origin of input signals (stimulation): ¾independent source ¾energy storage element whose initial value is not zero Customarily: zero-input network (zi): independent source=0 zero-state network (zs): initial value =0 Ns Ns NL NN NL *** 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 ‰ output (response) the response of load circuit (v(t),i(t)) Customarily: zero-input response Yzi -> stimulation by initial value zero-state response Yzs -> stimulation by independent source overall response: Y(t)=Yzi(t)+Yzs(t) N x(t) y(t) Ns Ns NL NN NL Terms of linear system *** Simplified expression input (stimulation) output (response)