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By: Neil E. Cotter |
Fourier Series |
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Symmetry |
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Example 3 |
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Ex: Fill in the following table with check marks for the functions shown below.
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(a) |
(b) |
(c) |
(d) |
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The function is odd |
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The function is even |
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The function has shift-flip symmetry |
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av = 0 (DC offset) |
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All the ak are zero (not including an) |
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All bk are zero for even-numbered subscripts |
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Ans:
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(a) |
(b) |
(c) |
(d) |
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The function is odd |
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√ |
√ |
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The function is even |
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The function has shift-flip symmetry |
√ |
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√ |
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av = 0 (DC offset) |
√ |
√ |
√ |
√ |
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All the ak are zero (not including an) |
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√ |
√ |
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All bk are zero for even-numbered subscripts |
√ |
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√ |