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Walsh functions and Hadamard matrixes

Walsh functions and Hadamard matrixes

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An orthogonal matrix can be used as a generator of a minimum-distance code. In addition to the recursively constructed Hadamard matrixes there are others of order 4n. Their use in coding appears to be limited.

References

    1. 1)
      • J.L. Walsh . A closed set of normal orthogonal functions. Amer. J. Math.
    2. 2)
      • P.A.N. Briggs , K.R. Godfrey . Pseudorandom signals for the dynamic analysis of multivariable systems. Proc. IEE , 7
    3. 3)
      • K.W. Henderson . Some notes on the Walsh functions. IEEE, Trans.
    4. 4)
      • A. Brauer . On a new class of Hadamard determinants. Math. Zeit.
    5. 5)
      • R.E.A.C. Paley . On orthogonal matrices. J. Math. Phys.
    6. 6)
      • W.W. Peterson , E.J. Weldon . (1972) , Error-correcting codes.
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