(a) Using the basis (sin(nt), sin(2nt), sin(4nt) }, defined for t from 1 to +1, find...

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(a) Using the basis (sin(nt), sin(2nt), sin(4nt) }, defined for t from 1 to +1, find the best mean-square approximation of the function shown in Figure 2. Is this basis orthogonal ? (b) Find the best mean-square approximation of the function in Figure 2 using the function sin(2nt) (i.e. a basis with a single function). Compare the errors of the two approximations. Figure 2 65 (a) Using the basis (sin(nt), sin(2nt), sin(4nt) }, defined for t from 1 to +1, find the best mean-square approximation of the function shown in Figure 2. Is this basis orthogonal ? (b) Find the best mean-square approximation of the function in Figure 2 using the function sin(2nt) (i.e. a basis with a single function). Compare the errors of the two approximations. Figure 2 65

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a To find the best meansquare approximation of a function using the given basis sinnt sin2nt sin4nt ... View the full answer