ECE307HW.5.pdf - 1 phiO vs I 1 phi1 vs t phi2 vs t phi3 vs...

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Unformatted text preview: 1 phiO vs I 1 phi1 vs t phi2 vs t phi3 vs t 1 1 e a 0'5 a 0.5 a 0.5 52 .‘2 SE 52 E 0 5 E 0 fi 0 g 0 '1‘ ’1‘ ’1‘ -05 ’1‘ -05 —0.5 ' ' -1 -1 0 -1 00.51 00.51 00.51 00.51 ->t(S) ->t(S) —>t(S) ->t(S) Oringinal Function and Approximation Error Signal 0.2 0.15 0.1 -0.5 0 0.5 1 1.5 ->t(s) 5. How many phi?(only 2,4,6,B) 4 Ef = 1/2 Eerror : (3*2011/2) - 16)/pi“2 + 1f2 2/pi th = 0 _ (25(112) 7 21/pi ’(3*(2”(1/2) ’ 2))/P1”2 1(2A(1/2) 1 2i/pfl 0 0 u : 0 0 1 1 Energy of error : 0.025179 1 Energy of fhat(t) : 0.474321 1 Energy of f(t) = 0.500000 0 Energy of u_0 : 1.000000, a0 : 0.636620 0 Energy of uil : 1.000000, 31 : 0.000000 0 Energy of U72 = 1.000000, 32 = 70.186462 0 Energy of u 3 : 1.000000, a3 : 0.186462...
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