Question: 3. You are given the following function f(:r) = 1132, 7r 3 :1: 3 7r. Extending this periodically to all real numbers 3:, state what

 3. You are given the following function f(:r) = 1132, 7r

3 :1: 3 7r. Extending this periodically to all real numbers 3:,

3. You are given the following function f(:r) = 1132, 7r 3 :1: 3 7r. Extending this periodically to all real numbers 3:, state what the Fourier series of the function is, write out Parseval's Identity for the Fourier series of f(:r), nd the mean square error 012V, and determine the rate at which it decays to zero as N > oo. 4. You are given the following function f(m)={%+$' \"5:\" oo. (Hint: In Chapter 7 of your textbook, study the section on minimizing the square error.)

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