Cyclic Autocorrelation
For sequences of length , the cyclic autocorrelation operator is defined by
(7.19) |
where and the index is interpreted modulo .
By using zero padding by a factor of 2 or more, cyclic autocorrelation also implements acyclic autocorrelation as defined in (6.16).
An unbiased cyclic autocorrelation is obtained, in the zero-mean case, by simply normalizing by the number of terms in the sum:
(7.20) |
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