HadamardMatrix

HadamardMatrix[n]

returns an n×n Hadamard matrix.

Details and Options

  • Each entry Hrs of the Hadamard matrix is by default defined as , where , is the ^(th) bit in the binary representation of the integer , and .
  • Rows or columns of the HadamardMatrix are basis sequences of the DiscreteHadamardTransform.
  • A Hadamard matrix is its own inverse.  »
  • The following options are supported:
  • MethodAutomaticspecifies the sequency ordering method
    WorkingPrecision∞the precision with which to compute matrix elements
  • Possible method settings are: "BitComplement", "Sequency".

Examples

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Basic Examples  (1)

A Hadamard matrix:

In[1]:=
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Out[1]//MatrixForm=

The Hadamard's basis sequences of length 128:

In[1]:=
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Out[1]=

Options  (2)

Properties & Relations  (3)

See Also

FourierMatrix  FourierDCTMatrix  FourierDSTMatrix  DiscreteHadamardTransform  Fourier

Introduced in 2012
(9.0)
| Updated in 2014
(10.0)