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华中科技大学电子信息工程(应为:电子与通信工程),考研的专业课是:信号与线性系统二。《信号与线性系统二》大纲:第一部分 考试说明 一、考试性质全国硕士研究生入学考试是为高等学校招收硕士研究生而设置的。其中,《信号与线性系统》实行按一级学科统考。它的评价标准是高等学校优秀本科毕业生能达到的及格或及格以上水平,以保证被录取者具有基本的专业水平,并有利于各高等学校的择优选拔。考试对象为参加2014年全国硕士研究生入学考试的本科应届毕业生,或具有同等学历的在职人员。科学学位硕士研究生和专业学位硕士研究生招生考试中的《信号与线性系统》均采用本考试大纲。科学学位硕士研究生招生考试中的《信号与线性系统》科目的代码为824,专业学位硕士研究生招生考试中的《信号与线性系统二》科目的代码为889。 二、考试形式与试卷结构(一) 答卷方式:闭卷,笔试。(二)答题时间:180分钟。(三)各部分内容的考试比例(满分150分)信号与线性系统:150(四)题型比例填空题、判断题、证明题、计算题第二部分 考查要点 一、信号与系统(Signals and Systems)1.信号、系统的概念(Concepts about signalsand systems)2.常用信号及其性质(Commonly used signals andtheir properties)3.信号的波形图、基本运算与奇、偶分解(Waveform of signals,transformation of the independent variable, even and odd decomposition ofsignals)4.单位冲激信号和单位阶跃信号的概念及性质(Unit impulse and unitstep functions and their properties)5.系统的基本性质(Basic system properties) 二、线性时不变系统 (LinearTime-invariant Systems)1. 线性时不变系统的性质(Properties of lineartime-invariant systems)2.线性时不变系统的零输入响应(Zero-input response oflinear time-invariant systems)3. 线性时不变系统的零状态响应(Zero-state response oflinear time-invariant systems)4. 卷积积分的性质及计算(Properties andcomputation of convolution integral)5.卷积和的性质及计算(Properties andcomputation of convolution sum)6.连续线性时不变系统的单位冲激响应和单位阶跃响应(Unit impulse response andUnit step response of continuous-time LTI systems)7.离散线性时不变系统的单位取样响应和单位阶跃响应(Unit sample response andUnit step response of discrete-time LTI systems)8.线性常系数微分方程的时域解法(Solution of Linearconstant-coefficient differential equations in time-domain)9.线性常系数差分方程的时域解法(Solution of Linearconstant-coefficient difference equations in time-domain) 三、周期信号的傅里叶级数表示 (Fourierseries representation of periodic signals)1. 线性时不变系统的特征函数(Eigen-function of lineartime-invariant systems)2. 连续时间周期信号的傅里叶级数表示(Fourierseries representation of continuous-time periodic signals)3.连续时间傅里叶级数的性质(Properties of CTFS)4. 离散时间周期信号的傅里叶级数表示(Fourierseries representation of discrete-time periodic signals)5. 离散时间傅里叶级数的性质(Properties of DTFS)6. 周期信号的频谱(Spectrum of periodicsignals)7. 周期信号激励下线性时不变系统的响应(Response of LTI systemsfor periodic input signals)8. 理想低通、高通、全通、带通、带阻滤波器(Ideal low-pass,high-pass, all-pass, band-pass and band-stop filters) 四、连续时间傅里叶变换 (The Continuous-timeFourier Transform)1. 连续时间傅里叶变换及非周期连续信号的频谱(CTFT and the spectrum ofcontinuous-time non-periodic signals)2. 连续周期信号的傅里叶变换(Fourier transform ofcontinuous-time periodic signals)3. 连续时间傅里叶变换的性质(Properties of CTFT)4.连续线性时不变系统的频率响应、幅频响应、相频响应(The frequency response of continuous-time LTI systems and its magnitude and phase)5. 连续线性时不变系统的频域分析(Analysis ofcontinuous-time LTI systems in frequency domain)6.无失真传输(Transmission withoutdistortion)7.线性相位的概念(Concept of linear phase)五、离散时间傅里叶变换(TheDiscrete-time Fourier Transform)1. 离散时间傅里叶变换及非周期离散信号的频谱(DTFT and the spectrum ofdiscrete-time non-periodic signals)2. 离散周期信号的傅里叶变换(Fourier transform ofdiscrete-time periodic signals)3. 离散时间傅里叶变换的性质(Properties of DTFT)4.离散线性时不变系统的频率响应、幅频响应、相频响应(The frequency response of discrete-time LTI systems and its magnitude and phase)5. 离散线性时不变系统的频域分析(Analysis of discrete-timeLTI systems in frequency domain) 六、连续时间信号的取样 (Sampling ofcontinuous-time signals)1.冲激取样的原理(Principle ofimpulse-train sampling)2.取样定理(Sampling Theorem)3.由取样值重建原始连续时间信号的方法(Methods of reconstructingthe original continuous-time signals from its samples) 七、拉普拉斯变换 (The Laplace Transform)1. 拉普拉斯变换及其收敛域(The Laplacetransform and its region of convergence)2. 拉普拉斯逆变换(The Inverse Laplacetransform)3. 拉普拉斯变换的性质(Properties of the Laplace transform)4.连续时间系统的系统函数H(s)(System function H(s)of continuous-time systems)5.系统函数与系统因果性和稳定性的关系(Relationships betweensystem function and the causality and stability of LTI systems)6. 由系统函数的极-零图绘制一阶或二阶系统的频率特性曲线(Geometric evaluation ofthe frequency response of first-order or second-order LTI systems from thepole-zero plot of H(s))7.利用拉氏变换求零状态响应(Solving the zero-stateresponse using the Laplace transform)8.连续系统的框图表示(Block diagramrepresentations of continuous-time LTI systems)9.信号流图表示与梅森公式(Signalflow graph representations of LTI systems and Mason’s Formula)10.单边拉普拉斯变换及其性质(TheUnilateral Laplace transform and its properties)11.利用单边拉普拉斯变换求解线性常系数微分方程(Solvingdifferential equations using the unilateral Laplacetransform) 八、Z变换(Thez-Transform)1.Z变换及其收敛域(The z-transform and its ROC)2.逆Z变换(The Inverse z-transform)3.Z变换的性质(Properties of the z-transform)4.离散时间系统的系统函数H(z)(System function H(z)of discrete-time systems)5.系统函数与系统因果性和稳定性的关系(Relationships betweensystem function and the causality and stability of LTI systems)6.由系统函数的极-零图绘制一阶或二阶系统的频率特性曲线(Geometric evaluation ofthe frequency response of first-order or second-order LTI systems from thepole-zero plot of H(z))7.利用Z变换求零状态响应(Solving the zero-stateresponse using the z-transform)8.离散时间系统的框图表示(Block diagramrepresentations of discrete-time LTI systems)9.单边Z变换及其性质(TheUnilateral z-transform and its properties)10.利用单边Z变换求解线性常系数差分方程(Solvingdifference equations using the unilateral z-transform)九、状态模型分析 (State Model Representation)1.连续时间和离散时间线性时不变系统的状态模型表示(State modelrepresentation for both continuous-time and discrete-time LTI systems)2.状态模型(状态方程、输出方程)的建立(Construction of statemodels)3.状态方程的求解(包括时域及变换域解法)(Solution of stateequations)