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Unformatted text preview: Polytechnic University, Dept. Electrical and Computer Engineering EE3414 Multimedia Communication System I Yao Wang ___________________________________________________________________________________ Homework 1 (Fourier Series and Transforms) Reading Assignment: Oppenheim and Wilsky, Signals and Systems , Sec. 4.2-4.3. (Fourier series and Fourier transforms) Optional reading (review of sinusoidal signals and complex numbers): DSP first . Sec.2.2,2.3,2.5 Written Assignment (Quiz based on this homework will be on 2/3) 1. What is the magnitude, frequency, and phase of the following sinusoidal signals? a. ) 2 / 20 sin( 10 π π + t b. ) 4 / 10 cos( 10 π π + t 2. What is fundamental frequency and Fourier series coefficients of the following signal (Hint: You don’t need to calculate any integral!). Illustrate the line spectrum of the signal. ) 4 / 80 sin( 5 . ) 3 / 40 cos( 2 ) 20 sin( 10 ) ( π π π π π + + + + = t t t t s 3. Determine the Fourier series expansion (i.e. all the expansion coefficients) for the following Determine the Fourier series expansion (i....
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- Spring '06
- Fourier Series, 3rd millennium, Fourier Series and Transforms