There are two sensible possibilities: either the data are even about the sample a, in which case the even extension is dcbabcd, or the data are even about the point halfway between a and the previous point, in which case the even extension is dcbaabcd ( a is repeated ).

There are two sensible possibilities: either the data is odd about the point prior to a, in which case the odd extension is (− c ,− b ,− a, 0, a, b, c ), or the data is odd about the point halfway between a and the previous point, in which case the odd extension is (− c ,− b ,− a, a, b, c )

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