Download 10 Solved Problems on Continuous and Discrete Time Signals - Final Exam | ENTC 4347 and more Exams Digital Signal Processing in PDF only on Docsity! FINAL EXAM ENTC 4347 DIGITAL SIGNAL PROCESSING Due: Noon on 12/5/03 Instructions: The test is due by noon on Thursday, 12/04/03. Do not procrastinate since some of the questions require more than a casual answer. Each question has a value of 10 points. The solutions must be presented in a logical order that the professor can follow; otherwise, points will be deducted. You may use any resource including working together on the test, but the professor expects some variation in the solutions. That is, you need to explain the solution in your own words. For your own sake, try to understand what is going on as opposed to just copying the answer. Good luck! Problem 1: a) Explain the difference between a continuous-time and discrete-time signal. b) Give at least one reason why the study of each type of signal (continuous-time and discrete-time) is important. Problem 2: For the continuous-time signal )802cos()502cos(1)( tttx , explain how the signal would be changed by an ideal filter, whose frequency response is plotted below. -50 50 100 0 -100 1 f (frequency Problem 3: Let, 3 21 5322 /jezandjz Solve the following expressions, giving your answer in both polar and rectangular form. You may verify your answer by computer, but you must show all work required to arrive at the answer by hand calculation. a) 212 zz b) 221 zz c) *11 zz * implies the conjugate d) 21 zz / e) ze 2 f) 1z Problem 4: Assume that the response of a LTI system to the input x[n] is ][][][ 1 nnnx is given by: ][][][][ 321 nnnny For this system, compute the output y2[n] for the following input: ][][][ 3552 nnnx . Problem 10: For each of the frequency response plots (A, B, C, D, E, F) below, determine which one of the following systems (specified by either an H(z) or a difference equation) matches the frequency response. NOTE: frequency axis in normalized; it is /. ][][.][: nxnynySo 2960 ][][.][: 1517501 nxnynyS ][][.][.][: 175017502 nxnxnynyS 1 1 3 901 1 z z zHS . )(: 214 1 zzHS )(: 543215 13 zzzzzzHS )(: ][][][: 1226 nxnxnyS 8 0 7 2 k knxnyS ][][: ][][][][][][][][: 652433423128 nxnxnxnxnxnxnxnyS 21 21 9 86490315211 21 zz zz zHS .. )(:
