山东大学 2017-2018学年2学期数字信号处理（双语）课程试卷(A) 号 三 四 五大 七八九 总分 阅卷人 得分 Directions: 1)The answers of this test should be in English. 2)The full mark of this test is 100.The final course mark is based on this test (80%)and class record mark (20%). 3)Tables of properties of Discrete-time Fourier transform,z-transform and DFT are supplied to you on the last page. 4)Unless otherwise indicated,answers must be derived or explained,not just simply written down. 2) (5 pts)Shown in the folloing figure are eight different finite-duration sequences of 得分 卷人 (40 pts)Give brief answers for the following problems. which there is a minimum phase system and a maximum phase system).Each sequence is four points long.The magnitude of the Fourier transform is the same for all sequences. 家 Which of the sequences has all the zeros of its z-transform inside the unit circle?And 1)(5 pts)The folloing figure shows the pole-zero plots for four different LTI systems.Based which of the sequences has all the zeros of its z-transform outside the unit circle? on these plots,state whether or not each system is an all-pass system. 20.33 17.67 9.67 13.33 工m H1(z) Im H2(x) 331 65 15.33 -2067 (a) (b 04-3 21.33 Re 1 Re 13.33 m H3(z) Im H4(z) 0 器 Re Re 暴 第1项共5页2017-2018 2 数字信号处理（双语） （A） 1 5 题号 一 二 三 四 五 六 七 八 九 十 总分 阅卷人 得分 Directions: 1) The answers of this test should be in English. 2) The full mark of this test is 100. The final course mark is based on this test (80%) and class record mark (20%). 3) Tables of properties of Discrete-time Fourier transform, z-transform and DFT are supplied to you on the last page. 4) Unless otherwise indicated, answers must be derived or explained, not just simply written down. 1．(40 pts) Give brief answers for the following problems. 1) (5 pts) The folloing figure shows the pole-zero plots for four different LTI systems. Based on these plots, state whether or not each system is an all-pass system. 2) (5 pts) Shown in the folloing figure are eight different finite-duration sequences ( of which there is a minimum phase system and a maximum phase system). Each sequence is four points long. The magnitude of the Fourier transform is the same for all sequences. Which of the sequences has all the zeros of its z-transform inside the unit circle? And which of the sequences has all the zeros of its z-transform outside the unit circle? 得分 阅卷人