Calculate the sum of the squared coefficients

Reference no: EM13846846

Verify that the Fourier Isometry holds on [-π, π] for f(t) = t. To do this, a) calculatethe coefficients of the orthogonal Fourier series from the orthogonal series representation, b)calculate the sum of the squared coefficients, and c) Calculate the norm of the function asR π-π|f(t)|2dt. They must be equal. How many terms in the Fourier series are necessary to havethe isometry be under 5%? How many until you are under 3%, or 1%.

Reference no: EM13846846

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