罗斯准则及Jury准则

1、附录E代数方程根的分布的判别法E1劳斯准则为判断/As)极点位置，需求解其分母多项式人之根。此工作往往十分麻烦，尤其是求高次方程的根更困难。因此，希望应用一种不需耍求解方程而乂能直接判断系统函数H(s)的极点是否全部位丁左半s平面的方法。1877年，劳斯(Routh)首先提出一种判断代数方程根的方法，不必解方程就可以知道它包含有多少个具有正实部的根。设A(s)=ansn+3+a0则方程A(s)=0的根全部位于左半s平而的充耍条件是：多项式的全部系数$都是正数，无缺项，即劳斯准则的必耍条件；劳斯阵列中第一列数字符号相同，即劳斯准则的充分条件。所谓“劳斯阵列”之排写规则如下：第1行5e-4-第2行

2、%-5第3行G,-iJC“-5-第4行-35第5行匕-3S-5阵列中，前2行元素直接由A(s)多项式之系数构成。第1行的元素是4(s)多项式的第一、第三、第五项的系数。第2行的元素是A(s)多项式的第二、第四、第六项的系数。第3行以后的元素按以下规律计算丄”ah-5丄”ah-5依此类推，共得S+1)行，且最后两行都只耍一个元素。如果劳斯阵列第1列各元素的符号不尽相同，则符号改变的次数即为方程A(s)=0具有正393 因果信号(causalsignal)叠加性(superpositionproperty)均匀性(homogeneity)积分(integnil)输入-输出描述法(inpi】t-oi

3、】tpi】tanalysis)状态变量描述法(statevanableanalysis)单输入单输岀系统(smgle-inputandsmgle-outputsystem)状态方程(stateequation)输出方程(outputequation)多输入多输岀系统(miilh-inpiitandmulti-outputsystem)时域分析法(timedomainmethod)变换域分析法(tiansfbnndomainmethod)卷积(convolution)傅里叶变换(Founeitransform)拉普拉斯变换(Laplacetransform)第2章齐次解(homogeneouss

4、olution)特解(particulafsolution)特征方程(charactensticfunction)特征根(characteiisticroot)固有(自由)解(naturalsolution)强迫解(forcedsolution)起始条件(originalcondition)初始条件(initialcondition)|H由响应(natumlresponse)强迫响应(forcedresponse)零输入响应(zeio-iiiputresponse)零状态响应(zeio-stateresponse)冲激响应(impulseresponse)阶跃响应(stepresponse)卷

5、积积分(convolutionintegral)交换律(exchangelaw)分配律(distributelaw)结合律(combinelaw)频谱(fiequencyspectnun)频域(fiequencydomain)三角形式的傅里叶级数(tngononutricFounersenes)指数形式的傅里叶级数(exponentialFourierseries)傅里叶系数(Fouriercoefficient)H流分量(directcomposition)基波分最(fxmdamentalcomposition)n次谐波分量(/thharmoniccomponent)复振幅(complexa

6、mplitude)频谱图(spectrumplot(diagram)幅度谱(amplitudespectnun)相位谱(phasespectrum)包络(envelop)离散性(discietepiopeitv)谐波性(hamionicpiroperty)收敛性(conveigencepiopeny)奇谐函数(oddharmomcfunction)吉伯斯现象(Gibbsphenomenon)(periodicrectangularpulsesignal)(penodicsawtoothpulsesignal)(penodictiiangularpulsesignal)(penodichalfc

7、osinesignal)(periodicfull-cosmesignal)(inverseFouneitiansfoim)(spectnundensityfiinction)(single-sidedexponentialsignal)(two-sidedexponentialsignal)周期矩形脉冲信号周期锯齿脉冲信号周期三角脉冲信号周期半波余弦信号周期全波余弦信号傅里叶逆变换频谱密度函数单边指数信号双边指数信号对称矩形脉冲信号(synmietiyrectangularpulsesignal)线性(lineality)对称性(symmetry)对偶性(periodicrectangula

8、rpulsesignal)(penodicsawtoothpulsesignal)(penodictiiangularpulsesignal)(penodichalfcosinesignal)(periodicfull-cosmesignal)(inverseFouneitiansfoim)(spectnundensityfiinction)(single-sidedexponentialsignal)(two-sidedexponentialsignal)时移特性(time-shifting)频移特性(frequency-shifting)调制定理(modulationtheorem)调制(

9、modulation)解调(demodulation)变步页(fiequencyconveision)尺度变换特性(scalmg)微分与积分特性(differentiationandmtegiation)时域微分特性(differentiationinthetimedomain)时域积分特性(mtegiationinthetimedomaui)频域微分特性(diffeientiationinthefiequencydomam)频域积分特性(mtegiationinthefiequencydomain)卷积定理(convolutiontheorem)时域卷积定理(convolutiontheor

10、eminthetunedomain)频域卷积定理(convolutiontheoremmthefiequencydomain)取样信号(samplmgsignal)矩形脉冲取样(lectangularpulsesampling)自然取样(natuiesamplmg)冲激取样(impulsesampling)理想取样(idealsampling)取样定理(samplmgtheorem)调制信号(modulationsignal)载波信号(earnersignal)已调制信号(modulatedsignal)模拟调制(analogmodulation)数字调制(digitalmodulation)

11、连续波调制(continuouswavemodulation)脉冲调制(pulsemodulation)幅度调制(amplitudemodulation)频率调制(frequencymodulation)相位调制(phasemodulation)角度调制(anglemodulation)频分多路复用(frequency-divisionmultiplex(FDM)时分多路复用(tune-divisionmultiplex(TDM)相干(同步)解调(syncluonousdetection)本地载波(localearner)系统函数(systemfiinction)网络函数(networkfii

12、nction)频响特性(frequencyresponse)幅频特性(amplitudefiequencyresponse)相频特性(phasefiequencyresponse)无失真传输(distonionlesstransmission)理想低通滤波器(ideallow-passfilter)截止频率(cutofffiequency)正弦积分(sinemtegral)Jb升时间(usetime)窗函数(windowhmction)理想带通滤波器(idealband-passfilter)第4章代数方程(algebraicequation)双边拉普拉斯变换(twosidedLaplacet

13、iansform)双边拉普拉斯逆变换(inversetwosidedLaplacetfansfomi)单边拉普拉斯变换(smgle-sidedLaplacetransfonn)拉普拉斯逆变换(inverseLaplacetiansform)收敛域(legionofconvergence(ROC)延时特性(timedelay)s域平移特性(sluftinginthes-domain)s域微分特性(diffeiemiationmthes-domaui)s域积分特性(mtegiationinthes-domain)初值定理(initial-valuetheorem)终值定理(expuation-va

14、lue)复频域卷积定理(convolutiontheoreminthecomplexfiequencydomain)部分分式展开法(paitialfiactionexpansion)留数法(residuemethod)第5章策动点函数(dnvingfunction)转移函数(tiansfeifiuiction)极点(pole)零点(zeio)零极点图(zero-poleplot)暂态响应(transientresponse)稳态响应(stableresponse)稳定系统(stablesystem)一阶系统(firstordersystem)高通滤波网络(high-lowfiltei)低通滤波

15、网络(low-passfilter)二阶系统(secondsystem)最小相移系统(nuiuinum-phasesystem)维纳滤波器(WmneMl血)卡尔曼滤波器(Kalmanfilter)低通(low-pass)高通(highpass)带通(band-pass)带阻(band-stop)有源(active)无源(passive)模拟(analog)数字(digital)通带(pass-band)阻带(stop-band)佩利一维纳准则(Palev-Wumercritenon)最佳逼近(optunumapproximation)过渡带(traiisition-band)通带公差带(tol

16、enmceband)巴特沃兹滤波器(Buttenvorthfilter)切比雪夫滤波器(Chebyshewfilter)方框图(blockdiagram)信号流图(signalflowgraph)节点(node)支路(branch)输入节点(sourcenode)输出节点(sinknode)混合节点(mixnode)通路(path)开通路(openpath)闭通路(closepath)环路(loop)自环路(self-loop)环路增益(loopgain)不接触环路(disconnectloop)前向通路(forwardpath)前向通路增益(fonvardpathgain)梅森公式(Maso

17、nformula)劳斯准则(Routhciitenon)第6章数字系统(digitalsystem)数字信号处理(digitalsignalprocessmg)差分方程(differenceequation)单位样值响应(unitsampleresponse)卷积和(convolutionsum)Z变换(Ztransfonn)序列(sequence)样值(sample)单位样值信号(unitsamplesignal)单位阶跃序列(unitstepsequence)矩形序列(lectangiilaisequence)单边实指数序列(singlesidedrealexponentialsequen

18、ce)单边正弦序歹U(singlesidedexponentialsequence)斜边序列dampsequence)复指数序列(complexexponentialsequence)线性时不变离散系统(lmeartune-invariantdiscrete-tunesystem)常系数线性差分方程(linealconstant-coefficientdifferenceequation)后向差分方程(backwarddiflerenceequation)前向差分方程(fonvarddifferenceequation)海诺塔(TowerofHanoi)菲波纳西(Fibonacci)冲激函数串

19、(impulsetiain)第7章数字滤波器(digitalfilter)单边Z变换(smgle-sidedZtiansfonn)双边Z变换(two-sided(bilateral)Ztiansfoim)幕级数(poweiseries)收敛(conveigence)有界序列(limitary-amplitudesequence)正项级数(positiveseiies)有限长序列(limitary-durationsequence)右边序列(nghtsidedsequence)左边序列(lefbsidedsequence)双边序列(two-sidedsequence)Z逆变换(inveiseZtiansfonn)ffil线积分法(contourintegialmethod)幕级数展开法(poweiseriesexpansion)z域微分(diffeientiationinthez-domain)序列指数加权(multi