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10Fall_hw08 - (c What are the trigonometric Fourier series...

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ECE210 - Fall 2010 - Homework 08 (Prof. Jones) (Due: Oct 20, 2010 at 5 p.m.) 1. Find the exponential and trigonometric Fourier series coefficients of the periodic signal f ( t ) = e - 2 t , 0 t < 3 . The period is T = 3 . 2. Problem 6.3 from text. 3. Consider the periodic signal f ( t ) = 1 + cos(2 πt ) + sin(3 πt ) . Part of the signal is depicted in Figure 1 for the interval - 5 < t < 5 . (a) What is the period, T , of f ( t ) ? (b) What are the exponential Fourier series coefficients of this periodic signal?
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Unformatted text preview: (c) What are the trigonometric Fourier series coefficients of this periodic signal? (d) What are the compact-form Fourier series coefficients of this periodic signal? Figure 1: f ( t ) : Periodic signal for problem 3. 4. Problem 6.7 from text 5. Problem 6.8 from text 6. Problem 6.9 from text 7. Problem 6.12 from text 1...
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