w03-tut-questions - School of Electrical, Computer and...

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Unformatted text preview: School of Electrical, Computer and Telecommunications Engineering, University of Wollongong P Doulai - ECTE906 - Spring 2009 Tutorial Questions 1 Advanced Signals & Systems (ECTE906) Spring - Week03 Tut Questions : Spectrum & Fourier Series/Analysis--------------------------------------------------------------------------------------------------- Questions: Fundamentals of Complex Numbers/Complex Exponential (Rotating Phasor) 3-0-1- Eulers identity (formula) is known to be the most interesting formula in mathematics. Explain why? In simple terms explain the reasons for using Eulers formula in manipulation of signals. 3-0-2- A rotating phasor could have either a positive frequency or a negative frequency. What is the meaning of negative frequency and what distinguishes the negative from the positive frequency in a given rotating phasor. 3-1- Periodic signals can be synthesized by adding two or more cosine waves that have harmonically related frequencies. What does this mean? Provide your answer by explanations and an example. 3-2- Spectrum is the collection of amplitude, phase and frequency information that allows the expression of a signal (eg. x(t) ) in terms of a real constant and a complex amplitude for the complex exponential of frequency f k . (a) What is the main advantage of showing the spectrum information in a graphical representation?...
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w03-tut-questions - School of Electrical, Computer and...

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