Tuto3_FS - with a fundamental period of 6: ]. [ ] [ ] [ , 4...

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EE3210 Tutorial 3: Fourier Series 1. (Problem 3.4 in the Textbook) Use the Fourier series analysis equation to calculate the coefficients a k for the continuous-time periodic signal < < = 2 1 5 . 1 1 0 5 . 1 ) ( t t t x with fundamental frequency ω 0 = π . 2. The Fourier series representation of a periodic signal x ( t ) is given below: −∞ = = k t jk k e a t x 0 ) ( ω . a) Show that a k = a -k if x ( t ) is even. b) Show that a k = a -k * if x ( t ) is real. 3. (Problem 3.28a in the textbook) Determine Fourier series coefficients of the following periodic signal: 4. (Problem 3.30 in the textbook) Consider the following three discrete-time signals
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Unformatted text preview: with a fundamental period of 6: ]. [ ] [ ] [ , 4 6 2 sin ] [ , 6 2 cos 1 ] [ n y n x n z n n y n n x = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ + = + = ππ π a) Determine the Fourier series coefficients of x [ n ]. b) Determine the Fourier series coefficients of y [ n ]. c) Use the results of part (a) and (b), along with the multiplication property of the discrete-time Fourier series, to determine the Fourier series coefficients of z [ n ]....
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This note was uploaded on 11/22/2009 for the course ELECTRONIC EE3210 taught by Professor Sungchiwan during the Spring '09 term at École Normale Supérieure.

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