# Quiz1 - Name Student ID Signature CITY UNIVERSITY OF HONG...

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Name: ________________________ Student ID: ________________________ Signature: ________________________ CITY UNIVERSITY OF HONG KONG Semester B 2014/2015 EE3008: Principles of Communications Quiz 1 1. Time allowed: One hour 2. Total number of problems: 3 3. Total marks available: 30 4. This paper may not be retained by candidates Special Instructions 5. This is a closed book exam A list of possibly relevant equations is attached at the end of this paper 6. Attempt all questions from each problem 7. Show all equations, calculations involved in your solutions If you just provide the final answer, you won’t receive full marks even if it is correct If you provide intermediate steps and they are correct, you will receive partial marks even if the final answer is incorrect

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Problem 1: (7.5 marks) Suppose we transmit the signal s ( t ) = sinc(2 t ) through a linear time invariant (LTI) system with impulse response h ( t ) = δ ( t ), as shown in Figure 1 below. Impulse Response Figure 1 s ( t ) h ( t ) y ( t ) (a) Determine the transfer function H ( f ) of the LTI system. (1.5 marks) (b) Determine the spectrum of the signal s ( t ). (3 marks)
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