Question: . 2r Does the periodic signal x(#) = sin() have a Fourier series f representation? Why? Does the periodic signal x() = tan(2x) have a

. 2r Does the periodic signal x(#) = sin() have a Fourier series f representation? Why? Does the periodic signal x() = tan(2x) have a Fourier series representation? Why? Specify the types of symmetry for the signals shown in the figure. Specify also which terms in the trigonometric Fourier series are zero. A/Wl . -2 -1 0 1 2 T=92 x(1) T4 (a) (b) 0 Consider the periodic signal x(7) = Z I sin?(kz/2)cos 16000k 7 t k=1 a. Identify the fundamental frequency and the fundamental period b. Identify the EFS, CFS and TFS coefficients. The Fourier series representation of the triangular signal in figure (a) is 8 _ 1 . 1 . | x(t) = | sint sin(37) + sin(5) sin(7) + ... ]. Use this 2 9 25 49 result to obtain the Fourier series for the signal in figure (b). A /\\N/(\"\\/\\ T T =2r -7 0 n 2z (a) (b)

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