精品課件大學(xué)物理2(雙語)(存儲版)
【正文】 1()( ?? ththt20 1311?? ?dtththththpthttpthtpfptyt)]1()([)]1()([1)()]1()([1)]()([1)(?????????????????)( tyt2011 3t t?3Example for TimeDomain Analysis of ContinuousTime systems 一 .系統(tǒng)的時(shí)域求解 二 . 指數(shù)信號系統(tǒng) 。)(39。 (t)+6y39。39。)()( tttet ??? ???)( tf1 2 3123)( tf1 2 3121?)1()2( ?Twominute miniquiz problem Problem Interpret and sketch the generalized function where Differentiation and Integration )(39。0339。39。 t?Differentiation Unit impulse 單位沖激信號 Unit impulse —— properties 4. 對時(shí)間的微分等于 單位沖激偶函數(shù) (Cont’d) ? ??? ??? )()()( 0/0/ tfdttttf ????? ?? 0)( 0/ dttt?)()( // tt ??? ??? ??? ?? )0(39。39。39。 tetetf tt ?? ?? ???)()( tte t ?? ??? ??)(39。)( 00 tfdttttf ????????4???Examples Calculate the integrations Differentiation and Integration )()0( tpfDtDD? D2D? 2)()( D?DDtpf)()( D?D?Dtpf0?????DD D??kktptftf )()()( ??)()()()( ?????? ? D?DD?D?D D ktkfktpkf?????D D?D? )()( ?? ? ktpkf??????D D??D?D?kktkftf )()()( ????)()()()()( ttfdtftf ????? ???? ? ???Graphic view of staircase approximation to any signals Linear, ordinary differential equations arise for a variety of system descriptions Electric work Kirchhoff’s current rule yields )()()()( titititi LRC ???i(t) C iC(t) iR(t) iL(t) R L v(t) + ? ? ? ? ? ? ? ? ? ? ?? duLtRtutdttduC tLRC iii ? ?????1,? ? ? ? ? ?LtudttduRdtudCdttdi ??? 122Electric work, cont39。 (t)+6y39。 ,),0(),0(),0(zeroinput solution零輸入響應(yīng) linear differential equations solution 2. zerostate solution 注：兩種解法的區(qū)別，初始條件代入的先后次序不同 3. total solution Homogeneous solution (zeroinput solution) n階齊次方程的解（零輸入響應(yīng)的求解） 0)()(0)()( 0111 ???????? ?? tyapapaptypD xnnn1. The roots of the characteristic polynomial 求特征方程的根 2. Homogeneous solution 根據(jù)特征根得值，寫出零輸入響應(yīng) ????????nititnttxiin ecececectyt h e nr o o t sd i s t i c tna r eIf1212121)( , ??????? ，①The roots of the characteristic polynomial are called natural frequencies. These are frequencies for which there is an output in the absence of an input. )(, 21 tyccc xn 代入，得零輸入響應(yīng)將 ?例： 47頁 ， 50頁 tjtjx ecectyjr o o t sc o m p l e x)(2)(12,1)( ????????? ???? ③?????? ??????nijtjritirixrjecetctyr o o t stn o n d i s t i n c11211)( ?????②The unit impulse response and zerostate response of system Unit impulse response The unit impulse response gives intuition about the properties of a system. The impulse response is the response of a system to unit impulse signal. 系統(tǒng))( t? )( th零狀態(tài)Relationship of H(p) amp。求全響應(yīng)其中：設(shè)例)(,)()(,),()(11tytekthjstetfnitisti???????????0)(1?? ??tectynitixi
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