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Unformatted text preview: { X k } by viewing x ( t ) as the result of multiplying a symmetric rectangular pulse train by a cosine, followed by a time delay. Solved Examples S 19.1. Express the Fourier series coeﬃcients of x ( t ) and y ( t ) in terms of those of s ( t ). s ( t ) ... ...T 0 T t x ( t ) ... ...T 0 T t y ( t ) ... ...TT /2 0 T /2 T t S 19.2. Determine the Fourier series coeﬃcients of the periodic signal s ( t ) of period T = 5 shown below. s ( t ) 115 4 3 0 1 2 5 6 7 t ... ... S 19.3. Use two diﬀerent methods to express the complex Fourier series coeﬃcients of y ( t ) (fullwave rectiﬁed sinusoid) in terms of those of x ( t ) (halfwave rectiﬁed sinusoid), as shown below. TT /4 0 T /4 T t x ( t ) 1 ... ...T /4 0 T /4 t y ( t ) 1 ... ......
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 Spring '08
 staff
 Fourier Series, Periodic function, Fourier series coefficients, fullwave rectiﬁed sinusoid

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