HadamardMatrix

HadamardMatrix[n]
returns an n×n Hadamard matrix.

Details and OptionsDetails and Options

  • Each entry 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 discrete Hadamard transform.
  • A Hadamard matrix is its own inverse.
  • HadamardMatrix 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, .
  • HadamardMatrix[,WorkingPrecision->p] gives a matrix with entries of precision p.
Introduced in 2012
(9.0)