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464    CHAPTER 13  Fourier Series

                     6. Let                                        7. Let

                                       1   for 0 ≤ t < 2                             t    for −2 ≤ t < 0
                                 f (t) =                                       f (t) =
                                       −1for −2 ≤ t < 0                              2 + t  for 0 ≤ t < 2
                       Plot the fifth partial sum of the Fourier series for f (t)  Plot the fifth partial sum of the Fourier series for f (t)
                       on [−2,2], together with the fifth Cesàro sum, the  on [−2,2], together with the fifth Cesàro sum, the
                       fifth Hamming and Gauss filtered partial sums, using  fifth Hamming and Gauss filtered partial sums, using
                       the same set of axes. Repeat this with the tenth and  the same set of axes. Repeat this with the tenth and
                       twenty-fifth partial sums.                      twenty-fifth partial sums.



































































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                                   October 14, 2010  14:57  THM/NEIL   Page-464        27410_13_ch13_p425-464
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