信號(hào)與系統(tǒng)多媒體教學(xué)課件

第六章Part3220七月2023信號(hào)與系統(tǒng)第6章第3次課內(nèi)容要點(diǎn)

雙邊拉普拉斯變換的定義和收斂域單邊拉普拉斯變換及其性質(zhì)拉普拉斯逆變換微分方程和電路的s域求解

LTI系統(tǒng)的系統(tǒng)函數(shù)及其性質(zhì)

LTI系統(tǒng)的框圖表示320七月2023信號(hào)與系統(tǒng)第6章第3次課第6章拉普拉斯變換與連續(xù)時(shí)間系統(tǒng)6.0引言6.1拉普拉斯變換的定義6.2單邊拉普拉斯變換6.3拉普拉斯變換的性質(zhì)作業(yè)一41斃6怎七曬月秤2牛0漢2柔3信癥號(hào)攏與偵系然統(tǒng)盡第井6維章思第醉3懶次吐課第6章況拉販普柔拉皮斯帽變顛換豪與罩連陡續(xù)襲時(shí)緩間替系像統(tǒng)6世.川4拉畏普類拉辮斯孫逆姻變康換6賽.緞5微彈分檢方佛程淡的翠求婦解作瞇業(yè)叨二51冬6傍七揪月邀2還0蒸2腿3信欺號(hào)劃與媽系責(zé)統(tǒng)搖第辟6找章投第梨3吧次渣課第6章誦拉手普油拉后斯嫩變壩換懸與屈連牲續(xù)能時(shí)唇間搜系漫統(tǒng)6識(shí).崖6電蝴路傲的s域歸求適解6適.發(fā)7雙完邊陵拉米普消拉賴斯喜變澇換作刪業(yè)港三61遼6想七徹月詞2移0考2饒3信譜號(hào)恒與倆系垮統(tǒng)育第類6塌章稻第微3鈔次蔑課第6章掩拉孕普艦拉潤(rùn)斯讀變旋換繞與蹈連橋續(xù)敬時(shí)謙間端系輛統(tǒng)6黎.扮8煌L怪T脂I系擠統(tǒng)忌的飛系互統(tǒng)孔函臉數(shù)吧及癥其談性碎質(zhì)6斬.唱9歉L返T唇I系崖統(tǒng)恭的蘇框祝圖篩表學(xué)示作暖業(yè)曠四71殘6邁七型月多2塵0都2較3信雁號(hào)刻與形系豈統(tǒng)榮第糕6彈章膽第馬3柱次稍課§6砍.偉6電席路諷的s域糕求顧解利辦用春拉者氏聚變覆換貍進(jìn)糞行畜電孤路好分利析饅的值兩密種旁方產(chǎn)法應(yīng)惡用飯基奪爾偽霍已夫框定勸律路寫(xiě)炭出購(gòu)描愧述歪電李路解網(wǎng)周絡(luò)怒特徒性爺?shù)淖x微揀分贏方冰程坡，繭然露后膠采戒用灘拉摧普樓拉黃斯維變倘換漏來(lái)草求兔解格該植方田程稍，巴再南通每過(guò)陸逆礦變供換辜得垃到辟時(shí)惑域墊解建冒立巷電甜路鈔的s域可等抖效狗模衫型忠，月在判此劑模裕型立上呢建萬(wàn)立仗的綱電傲路傭方箭程磚將籃是絨一跡個(gè)坡代禾數(shù)伙方縮慧程粗，烘求項(xiàng)解愁更艙方監(jiān)便81供6紙七明月糟2轎0海2蹈3信固號(hào)刃與蝕系膜統(tǒng)常第篇6析章慰第撐3很次搜課§6數(shù).反6電因路永的s域振求縫解電恐路荒的紅微狂分鋼方目程本解敢法【例6降-痕2頃7拘】已摧知嫂下催圖爽所同示戒的R杠C電鼠路偵，t=營(yíng)0時(shí)獻(xiàn)開(kāi)井關(guān)警閉點(diǎn)合敵接眾入架一孟直排流踢電斜壓V，迫假杯設(shè)不電旺容C上鍵的葡初榜始勵(lì)電勸壓被為vC(這0-)呼=V0。漏求t≥擁0時(shí)吧的截輸峽出vC(t)，柏并抹指夠出撥零篇輸何入攤響調(diào)應(yīng)vC,培z呼i(t)和騎零宮狀根態(tài)沃響滅應(yīng)vC,黨z驕s(t)91宅6為七驕月斥2彈0畏2敗3信冷號(hào)標(biāo)與跳系墳統(tǒng)窮第份6貼章散第廁3慨次彎課§6林.鴉6電論路慰的s域傻求妙解【例6韻-艘2詳7主】未(續(xù))解狠：券應(yīng)遺用K省V馳L，糠可齊得線該恰電洞路飄的揀微靠分牧方渡程利嗽用過(guò)時(shí)狗域拜微捧分痛性撫質(zhì)武作賣拉持普杯拉薪斯伴變刪換裝得VC,扮z該i(s)VC挑,z穴s(s)1譯01森6店七霜月萍2杜0僑2裁3信絹號(hào)宋與苦系從統(tǒng)敲第撇6澡章湊第愁3計(jì)次晌課§6嘗.桌6電將路木的s域愧求統(tǒng)解【例6抹-襖2策7貞】薯(續(xù))部擊分久分貴式陳展錫開(kāi),得求I枝L察T得1讀11餅6能七猾月許2蔑0吧2辱3信何號(hào)罩與職系馳統(tǒng)志第眠6勉章鳳第津3棄次案課§6慮.煎6電話路存的s域奇求竊解s域奪等綿效記模旦型根燦據(jù)亭電秒路饑元由件言的喊阻芽抗R與旨電溉壓v(t)和平電鄙流i(t)的枕關(guān)更系浪建蠶立集元差件旋的s域趁等鼻效杠模師型鏈，凱然毛后亭根樂(lè)據(jù)K志C夾L和K緊V帆L直擁接償寫(xiě)殊出s域冠的養(yǎng)代府?dāng)?shù)賞方待程電鋪?zhàn)枭椎膕域沙等較效陷模南型電弓容己的s域納等襯效疏模蓋型電鍛感頓的s域容等汽效擾模拒型電色源同的s域趣等議效剩模隊(duì)型1界21忙6料七敲月本2勒0默2潔3信館號(hào)璃與黎系學(xué)統(tǒng)蚊第員6表章變第挪3陵次擱課§6睬.另6電咬路擦的s域頌求遠(yuǎn)解s域桃等效效次模壇型電挨阻忠的s域烈等紋效局模昂型電脆阻脈的R、v(t)、i(t)關(guān)法系姻及L某T電是阻盲的s域淚模愿型堡圖1遺31堪6愈七拘月亂2域0市2繪3信并號(hào)污與對(duì)系環(huán)統(tǒng)拐第駕6最章蛾第礦3充次錫課§6票.短6電寶路旺的s域栗求驚解s域叫等陵效疑模晉型電容容怒的s域花等賣效漲模賓型電蜻容斬的C、v(t)、i(t)關(guān)刻系擦及L掩T電鋸容偽的s域程模土型集圖1碗41吃6姐七仗月強(qiáng)2燙0譽(yù)2泳3信循號(hào)給與惜系歲統(tǒng)徹第數(shù)6纖章欄第肚3套次突課§6偉.霸6電緊路晴的s域禽求脆解s域球等掛效伐模便型電猴感眾的s域射等牧效輔模耍型電利感候的L、v(t)、i(t)關(guān)甘系晝及L粘T電嫁感鉗的s域職模享型筋圖1演51剖6友七染月農(nóng)2片0烤2候3信宇號(hào)密與計(jì)系茄統(tǒng)踩第挽6練章靜第軌3歇次師課§6泛.群6電孩路鮮的s域染求篩解s域書(shū)等佳效攝模子型電即源會(huì)的s域廉等浪效軟模所型電扶壓稀源截的s域禮模描型存圖電腐流黑源革的s域舌模遵型托圖1聚61旦6昨七僅月毅2魄0昆2鞠3信渡號(hào)雕與得系土統(tǒng)犯第朋6亂章虎第栗3逮次花課§6笛.船6電舍路伯的s域布求早解【例6漸-翠2敘8齡】應(yīng)簽用s域儲(chǔ)模打型訴求岸解澆例6伯-舒2現(xiàn)7解盞：劇應(yīng)痛用限元往件吐的s域破模膝型往，為可按得嚼到s域剛等寬效率電謠路根楚據(jù)勿電幸路桶可受求鵲出砍環(huán)紐奉路吧電猴流店為1寄71店6知七受月旅2鏈0齡2產(chǎn)3信廣號(hào)冊(cè)與客系僚統(tǒng)唱第淚6弓章增第穗3劑次拘課§6斬.午6電辭路固的s域父求雕解【例6互-霸2犧8牙】心(續(xù))根增據(jù)靠電餐路切可乏直媽接籮寫(xiě)惠出拜輸市出揮電貫壓增為1丘81俯6賠七菌月路2青0葡2感3信團(tuán)號(hào)岡與偷系面統(tǒng)葛第炎6使章肢第栽3眨次擴(kuò)課§6骨.患6電趴路啄的s域詳求技解【例6找-插2叉9旗】已齊知獻(xiàn)圖機(jī)示槳電飯路蘆中L=且0單.迎5筑H，C筑=0牲.燈0妻5乞F竹,R1=估5Ω敏,R2=校2鉤Ω背,并疲假卡設(shè)茫開(kāi)錦關(guān)役在t=贏0之護(hù)前鳴一軍直出處排于疼閉軋合慌狀閥態(tài)蛛，砌現(xiàn)跪?qū)⒏查_(kāi)疾關(guān)奴斷理開(kāi)尸。燈求t≥昂0時(shí)眼電瞎感宇中臉的蔥電則流i(t)解術(shù)：渣確渣定桂電不路置的尼起槽始天狀對(duì)態(tài)vC(杏0-)皆=險(xiǎn)1勉0墓Vi(總0-)冤=割2昨A1筐91執(zhí)6深七宅月鞋2多0孤2羅3信敬號(hào)初與禿系處統(tǒng)要第寒6姿章筋第鄰3車次游課§6箏.駐6電雙路蒼的s域閃求捷解【例6公-艱2蕩9長(zhǎng)】厲(續(xù))s域系等尊效矩電害路根曾據(jù)抱等悉效鍛電上路型求瘦電麥流B片a翻c賺k2請(qǐng)01掠6躺七環(huán)月宋2迎0老2幕3信跨號(hào)涼與串系切統(tǒng)成第臉6紹章值第痰3緒次使課§6柱.職7雙悄邊吃拉氣普權(quán)拉設(shè)斯牧變促換雙粉邊曲拉論普藏拉游斯迅變清換扭的浙必蘭要營(yíng)性非盈因遇果嫂信院號(hào)礎(chǔ)和萬(wàn)系餐統(tǒng)催的努問(wèn)戰(zhàn)題份不戲能遮用薦單曲邊粥拉蜜普慕拉閑斯店變菜換廳來(lái)行討墊論應(yīng)幻玉用頁(yè)雙灑邊留拉法普僻拉割斯屑變里換猾要沾注甩意付的傍問(wèn)素題收醫(yī)斂浪域2行11菜6嫌七仙月允2超0抄2帥3信晝號(hào)派與春系顛統(tǒng)完第剪6匪章敞第筒3避次輛課§6今.冬7雙躲邊不拉窄普掀拉感斯考變來(lái)?yè)Q收婦斂抽域鑄特稻性雙獵邊硬拉晉普勵(lì)拉妨斯霜變片換誤的波性牧質(zhì)雙兩邊董拉加普塑拉猛斯?jié)赡婷兊蕮QB鄉(xiāng)豐a莊c逗k2盒21靠6敲七鼠月厚2君0哈2代3信閱號(hào)初與落系河統(tǒng)層第氧6描章衰第貴3續(xù)次株課§6違.紹7曠.眾1收比斂讓域仁特溉性性倆質(zhì)1：幟收屯斂楚域囑內(nèi)耕不弓能鉤包吼含綿任蛾何礙極御點(diǎn)如湖果沒(méi)在腰收獻(xiàn)斂革域偶內(nèi)貧存雖在湖極嫌點(diǎn)紙，孩則X(s)在與該堆點(diǎn)沒(méi)的雷值信為浸無(wú)咱窮辛大棍，遙它末就位不遮可申能鐘收疾斂遍。懷這苦說(shuō)酷明支收峽斂懂域手是樹(shù)以漫極間點(diǎn)顏為衣邊紗界坦的詞。2艇31啟6溪七西月俊2代0漿2世3信師號(hào)處與爐系篇統(tǒng)且第染6崖章寒第帖3扇次芬課§6莫.泊7贏.泄1收煩斂畢域租特棄性性喬質(zhì)2：惑信節(jié)號(hào)x(t)的桌拉工普麻拉咱斯惹變翠換X(s)的羨收籍?dāng)考嬗蚺袨閟平言面奮上禁平練行劉于jω軸遠(yuǎn)的妻帶友狀岸區(qū)言域X(s)的攀收兆斂蠢域斬僅扭與尋復(fù)芬變搬量s的礙實(shí)住部(即)有糊關(guān)就，胃而蟲(chóng)與s的赴虛須部吼無(wú)演關(guān)誰(shuí)，云這羽說(shuō)壤明故收治斂暗域矮的莊邊棚界吳必捷然頃是乎平米行緣瑞于臂虛遠(yuǎn)軸jω的博直辭線2氣41算6杯七車月攏2央0忌2絡(luò)3信掌號(hào)峽與絕系化統(tǒng)舉第寒6綿章警第名3尊次作課§6滾.伐7兩.曾1收翁斂筍域豆特欲性性旅質(zhì)3：械如遠(yuǎn)果x(t)是效一魔個(gè)盟時(shí)挽限扣信御號(hào)梨，翠并揪且界絕老對(duì)惜可絲式積耍，歇?jiǎng)tX(s)的耕收塌斂稈域撈為熔全s平朝面2疏51筍6慕七朗月接2答0毀2落3信默號(hào)威與撲系捷統(tǒng)床第呀6扯章等第押3層次達(dá)課§6乓.陰7掘.芬1收集斂革域卷特線性性鑰質(zhì)4：薄如繁果x(t)是擁一妨個(gè)查雙陪邊烘信辨號(hào)茶，映并慘且X(s)存哲在閃，蘆則X(s)的瀉收伐斂威域湯一串定曲是陣由s平悠面陵的葵一箏條鴨帶撈狀再區(qū)臂域饅所尋組宅成半，為即咐滿蓄足1<<2將掌雙嗽邊由信錄號(hào)x(t)分烏為但因雖果爆信法號(hào)x(t)u(t)和找反瀉因膨果按信廳號(hào)x(t)u(作-t)兩航個(gè)決分蹄量貸，則則2楊61山6知七拴月被2管0內(nèi)2橡3信療號(hào)計(jì)與箏系還統(tǒng)債第逼6默章貓第洲3趙次畏課§6策.粗7行.租1收慚斂勞域簡(jiǎn)特艙性性椒質(zhì)4當(dāng)(續(xù))假飼設(shè)x(t)為由指火數(shù)尸階董信史號(hào)當(dāng)1<<2時(shí)堤雙圍邊栽信淡號(hào)悼的要拉遷氏邁變尚換識(shí)收孝斂當(dāng)1>撇2時(shí)規(guī)雙偏邊堂拉菊普梁拉井斯喇變?nèi)虛Q泳不然存桐在2蕉71挽6赴七母月瞧2閱0吵2資3信頁(yè)號(hào)朵與紐奉系熱統(tǒng)粥第介6碧章哈第叼3霜次蹦課§6必.攜7避.傲1收已斂你域稈特迎性性爆質(zhì)5：票如著果x(t)是檢一迎個(gè)乘因忌果寫(xiě)信聯(lián)號(hào)盈或乒右饞邊進(jìn)信叫號(hào)業(yè)，狂則X(s)的倆收堵斂損域幅在旱其還最灶右希邊底極膝點(diǎn)竊的趙右對(duì)邊性超質(zhì)6：臭如屋果x(t)是找一央個(gè)盲反部因征果左信濾號(hào)展或僑左別邊掙信挎號(hào)島，蔑則X(s)的示收頓斂盯域領(lǐng)在耕其磁最棉左莖邊芒極季點(diǎn)崇的弱左校邊2徹81與6忍七怎月校2鳥(niǎo)0劇2訴3信掌號(hào)絕與砍系猴統(tǒng)某第踢6勒章顯第迅3吹次枕課§6類.巖7檢.藝1收次斂駁域壇特粗性【例6脹-訴3尼0但】已赤知句信禍號(hào)x(t)例=邊e-a|t|,aR箏,求憂雙訴邊柿拉偶普豎拉侍斯海變鍬換X(s)，父畫(huà)窯出逆零押極元點(diǎn)真圖衣，奏并共標(biāo)慘明霜收盟斂纏域解醒：退雙雨邊弓指違數(shù)竊信羽號(hào)x(t)波推形旋如派圖僻所脾示2最91聽(tīng)6狗七演月金2狐0鵲2屑3信秀號(hào)祥與社系挽統(tǒng)斗第超6競(jìng)章聚第蚊3闊次妻課§6叫.茂7教.鏟1收糠斂織域粘特?cái)佬浴纠?臥-猛3灶0柿】木(續(xù))將x(t)分深解話為酷因撞果勿信朗號(hào)傘和箏非珠因否果見(jiàn)信拍號(hào)園兩田部甲分溝，秤根名據(jù)枕例6盛-擴(kuò)1和址例6蠶-懇2，檔它齒們鼓各默自喚的晃雙矩邊L煎T為雙利邊袋指疏數(shù)馬信倆號(hào)x(t)的L胖T為B濟(jì)a帖c眠k3目01潔6殿七挑月站2園0壤2埋3信勾號(hào)集與始系鞋統(tǒng)徹第陶6溝章很第意3涉次狹課§6破.寧7變.釋2雙委邊碎拉釀普膛拉稅斯能變發(fā)換腰的車性獨(dú)質(zhì)線陸性勇性厘質(zhì)時(shí)過(guò)移析性鍛質(zhì)R仍O(shè)佩C：他至直少RxRhR侄O晶C：RxR暈O胃C：RxR優(yōu)O餐C：Rh3壓11連6賭七材月摔2恥0蠻2巷3信悶號(hào)犬與遼系歉統(tǒng)蠢第疼6屑章圍第求3負(fù)次閃課§6損.草7播.鼠2雙各邊賓拉盛普競(jìng)拉薄斯懂變釘換捐的菌性即質(zhì)復(fù)丟頻骨域(s域)移箏位僑性旬質(zhì)尺縫度塊變概換驅(qū)性唉質(zhì)R研O貍C：Rx曬+北R踢e掌(s0)R叫O占C：a戶Rx3垮21叼6店七頑月喇2賠0憶2倉(cāng)3信管號(hào)月與萄系搞統(tǒng)承第救6步章乘第重3隱次獻(xiàn)課§6莖.礙7疾.悼2雙舅邊神拉缺普凈拉披斯撒變安換趟的純性軟質(zhì)時(shí)至域壟微噴分芬性堪質(zhì)復(fù)齡頻齡域(s域)微路分哲性暑質(zhì)R拆O公C：炭至粒少RxR鍋O井C：Rx3炊31蝴6睛七姥月類2盜0至2骨3信愿號(hào)永與您系強(qiáng)統(tǒng)敵第熔6臘章江第膚3圈次趟課§6凍.盛7逢.衫2雙嶺邊嗽拉唯普莫拉數(shù)斯?jié)u變擦換贏的定性狗質(zhì)卷輔積億性匪質(zhì)時(shí)雕域昂積幕分縱性跨質(zhì)R陽(yáng)O竟C：畫(huà)至么少RxRhR書(shū)O躍C：Rx膝{豬R敗e雀(s)糕>詠0培}B踐a尋c往k3焰41版6扭七底月美2尿0漆2脅3信湖號(hào)事與爆系丟統(tǒng)早第煌6霜章排第予3破次詳課§6撞.行7絞.州3雙棗邊幣拉益普稿拉嚇?biāo)蛊婺婧冏頁(yè)Q雙貢邊眨拉爆普他拉夏斯浩逆歡變幣換鄰的黃求鳴法利但用蛛已齊知熱的射變擺換笛表利賺用卻拉睬普叢拉鏟斯蓬變吃換伍的引性歇質(zhì)利棚用棚拉句普望拉雅斯嚷變?nèi)鯎Q號(hào)收隱斂休域語(yǔ)性肺質(zhì)3蜜51文6話七返月路2花0迎2庸3信扣號(hào)淡與簽系兵統(tǒng)箏第稍6螺章尺第從3津次涼課§6緒.螺7吊.在3雙滑邊蔽拉前普介拉駕斯訊逆堤變勾換以s的涉多洋項(xiàng)膠式臉之尊比煎表冊(cè)示區(qū)的陜雙梁邊間拉辣氏雞變合換進(jìn)奏行擇部根分碎分艘式連展怎開(kāi)根爆據(jù)圓收頃斂能域殃確闖定盈對(duì)壇應(yīng)倡展初開(kāi)眼項(xiàng)垃的襲逆斧變坑換極奶點(diǎn)仗位浙于執(zhí)收掠斂泳域巨的輸左欄邊霧，綢逆捎變瓶換勉為圣因縣果剩信究號(hào)極輝點(diǎn)補(bǔ)位相于芝收勞斂散域腐的帝右震邊敢，款逆外變聚換捐為但反古因樓果枯信穩(wěn)號(hào)3額61拌6屢七幟月海2樸0頃2絕3信凳號(hào)扛與炊系邀統(tǒng)騎第喪6為章項(xiàng)第谷3屋次秩課§6老.闊7視.洋3雙各邊桐拉掃普丈拉排斯寒逆堂變沖換【例6少-悄3灶1劑】已強(qiáng)知書(shū)雙州邊靠拉緒普繼拉曠斯驗(yàn)變熊換速，齊求珠逆情變漠換x(t)解推：猴部納分噸分算式播展楚開(kāi)X(s)有暮兩捆個(gè)診極桐點(diǎn)澆，R附O警C有領(lǐng)三揭種均可貍能3必71陡6末七障月俗2列0斑2倡3信灰號(hào)臭與側(cè)系氧統(tǒng)毀第憲6愿章池第暮3帆次秀課§6織.表7援.跪3雙閉邊那拉塑普壺拉妨斯泰逆督變善換【例6總-四3拍1陡】丑(續(xù))R裙O鍋C鹿1捏:率R匪e這(s)末>說(shuō)-運(yùn)1兩波極若點(diǎn)座均么對(duì)島應(yīng)餓于脊因漂果死信解號(hào)3鳴81錢6物七晶月愁2就0惰2拉3信俊號(hào)瓜與過(guò)系傍統(tǒng)境第旺6宰章桌第汗3膝次嚼課§6酸.浴7社.敞3雙釘邊客拉禮普來(lái)拉挎斯最逆嫁變劃換【例6班-蹦3劉1奔】揚(yáng)(續(xù))R欠O摸C托2碧:號(hào)-陷2碗<姓R茂e紫(s)滲<嫩-朽1極掀點(diǎn)p1=靈-仰1對(duì)牧應(yīng)勿于惱反棒因忠果破信英號(hào)儉，脂極惜點(diǎn)p2=覆-早2對(duì)購(gòu)應(yīng)屈于警因伍果起信棵號(hào)3貞91查6化七綁月萌2味0燃2屈3信康號(hào)醒與彎系罩