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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) 301 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. 302 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. 31 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. 32 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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