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A periodic signal f(t) is produced by periodically repeating the function alt) - S2t|t| for -1<t<1 g(t) = to otherwise over t
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2 titl - 1 tli о, ониеноiѕе er glt) = (-2+² 2+2 , -1 < t < 0 I octal otherwise fourier series f(t) = Ao & E ancos (net) + bn2 41-44- ..4:17 do = 1/3 [~+3] + 3 [ +3]! do = [ - 1] + 1/3. [1] - As. = 1/3 + 3 = 0 an = 7 s file cas zant une an: 3 (912).c2 anf-at. cosmite de +fzecosants on = 2 [.csont de fer cosent de 20 Xn lets consider I = St? cosntit.dt I = ťsinntt - (27. siSo an= 2 [-(+1) + (7]!] an = 2-sinnn) + 2 (-1) cos(-81) asin(-nr) (0.52 (073 J sin (nt) +2 Cos (nl) – sin all – 027 nn nor (22 / / git. sin a tint, at bn = 2 2 Jolt) . sincent). dit bn = s-2t. Sincent edt + (at sint I= (t? sintent .dt - t. (-costint)I - - t Cosonit +2t. sinunt Con) пп 2 cosaint. (пт)3 (ол) + 21. sin I= - t² cosaint — +2t. Siопnt 2. cos tint ПП (пт) 3 . о.So our fourier series is cos nn? Y (072 / los nwott. Tonn ה מ 6) Cr= an to 1- 64. Cos²(nn) osno. (01)4 (nry tl6l (nn) 1/2 +Cn = 1 2 8. Сокол + 16 сокоп , 64 (плуч (ПП2 (ПП) 6 4 cЧ Cos?op - 64 Сод ПП Con) 6 - 12 g Cogna Сопіч if nis odd (0)6 (n =if n is even 64 - 128 76 (nri4 a 128 64 (0 ) 4 16 (017) 2 / int fill = 2 covesnost

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