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SOLUTIONS
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BUILT-IN MATHEMATICA SYMBOL
DiscreteHadamardTransform
DiscreteHadamardTransform[list]
gives the discrete Hadamard transform of list.
Details and OptionsDetails and Options
- The discrete Hadamard transform
of a list
of length
is by default defined to be
, where
,
is the 
bit in the binary representation of the integer
, and
. - DiscreteHadamardTransform returns a list that has a power of 2 length. If the length of the input list is not a power of 2, it is zero padded to a length that is the smallest power of 2 greater than
. - DiscreteHadamardTransform takes an option
. Sequency is the number of zero crossings of the Hadamard basis sequences. The default is "SequencyOrdered"->True, where the sequency increases with row or column index. With "SequencyOrdered"->False,
. - The forward and inverse Hadamard transforms are identical.
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