Swinburne Higher Education Exam Paper SWIN BUR · NE . SWINBURNE UNIVERSITY OF TECHNOLOGY Examination Cover Sheet SEMESTER 2, 2013 EXAMINATION DETAILS Subject Code: HET329 Faculty: FEI S Subject Title: DIGITAL SIGNAL AND IMAGE PROCESSING Duration: 180 min Reading time: 15 mins 70 % of overall assessment covered by this exam CANDI DATE DETAILS Student to complete (please print & do not use pencil) ID: Surname: Given: CANDI DATE DECLARATI ON · I am the person stated above · I agree to obey the Examination Supervisors instructions for proper conduct of the exam · I have read and understood the Instructions to Candidates provided (see back of this exam paper) . I understand that it is my responsibility to ensure that I have been correctly enrolled for the above subject and that I am fully liable for any outstanding fees and charges · I am aware that I am not allowed to present for any special examination unless approval has been granted by the appropriate Swinburne or external authority STUDENT SIGNATURE: DATE: INSTRUCTIONS TO CANDI DATES Material/ equipment that is not on this list is unauthorised material. Where a student is found in possession of any unauthorised material: 1. That material will be removed as soon as it is detected; and 2. The Student Examination Irregularity procedures of the Assessment and Appeals Policy and Procedures - Higher Educationwill be implemented. Materials Allowed: (Convenor please select from the drop down boxes below or add free text to other) Calculators: Programmable/Graphic Calculators Books: None Dictionaries None OTHER: Answering Instructions: Answer all questions Answer the questions for Part A (Questions 1 to 4) in the exam script book provided. Answer the questions for Part B (Questions 5 to 8) in the spaces provided in this exam paper Total Marks : 180. If you complete this exam before the set exam duration time, you may be asked to enter your time of departure. This information will have no bearing on your result.
HET329 Digital Signal and Image Processing Semester 2, 2013 Part A: Questions 1 to 4 (90 marks) Questions 1-4 should be answered in the exam script book provided. 1.(a). Answer briefly the following questions on continuous signals. (i). Is the causal exponential signal f(t) =U(t)e" finite energy, finite power or neither? Explain. (ii). Write down the definition of the Fourier transform of a finite energy signal. T (iii). A finite energy signal has the Fourier transform F(@) = 1+ joT Write down an expression for its energy spectral density. . (iv). Can a signal be recovered from its energy spectral density alone? Explain. (b). Use the properties of the Fourier transform to find the Fourier transforms of the following signals: (i). e-1-31 (ii). 0 =(2 )2 (iii). e-ll cos(100zt) (iv). sinc2(t/2) (c). (i). Write down the duality theorem for the Fourier transform. (ii). Write down the convolution theorem for the Fourier transform. (iii). Use the results quoted in parts c.(i) and c.(ii) to prove that the convolution of two sinc functions i