BUILT-IN MATHEMATICA SYMBOL

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.

## ExamplesExamplesopen allclose all

### Basic Examples (2)Basic Examples (2)

Discrete Hadamard transform of a list:

 Out[1]=

 Out[2]=

Discrete Hadamard transform of a 2D sequence that depicts a white rectangle on a black background:

 Out[1]=