- 1 - 姓名柯林波班级07 应用物理(2)班学号07207030203 成绩 考试内容:2010 年第一学期数字信号处理 第一部分解答题 1. Please giv e the stages of digital processing of analog signals and the basic components of DSP sy stem. 2. Please describe Sampling Theorem Compute the z-transform of the following sequences x(n) x(n) = (-0.5)nu(n) 3. Try to test the linearity and time invariance of the discrete time systems defined as follows: )1()()(nxnxny 4. Given a causal IIR discrete-time system described by the difference equation y[n]-0.4y[n-1]=x[n]. And it is known that the input sequence is x[n]= x[n]=(0.3)nμ[n]. . (1)Determine the output sequence y[n] using the z-transform. (2)Determine the expression of the frequency response H(ej) in the form |H(ej)|ej() 第二部分文献翻译 参考文献:the scientist and engineer's guide to digital signal processing 具体内容:第285 页第二段---第292 页 原文:见附页 - 2 - Part 1. 解答下列习题 1. Please give the stages of digital processing of analog signals and the basic components of DSP system. 答: (1)信号的数字化需要进过采样、保持、量化和编码四个过程 (2)数字信号系统的基本组成为:前置预滤波器、A/D变换器、数字信号处理器、D/A变换器、模拟滤波器。 2. Please describe Sampling TheoremCompute the z-transform of the following sequences x(n),x(n) = (-0.5)nu(n) 解:(1) 采样定理:在进行模拟/数字信号的转换过程中,当采样频率大于信号中最高频率的2倍时,采样之后的数字信号完整地保留了原始信号中的信息,一般实际应用中保证采样频率为信号最高频率的5~10倍;采样定理又称奈奎斯特定理。 (2) 由题有: 1010 .51 0 .510 .5nnnnX zx n zzzz 3. Try to test the linearity and time invariance of the discretetime systems defined as follows:)1()()(nxnxny 解: 验证线性: ...