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Sequential generation of binary orthogonal functions

Sequential generation of binary orthogonal functions

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A new method is presented for the generation of three families of discrete Walsh functions. Each function is generated without reference to any other sequency representation. Sequencies up to 10 × 106 zero crossings per second are possible with currently available t.t.l. devices.

References

    1. 1)
      • : `Applications of Walsh functions', AD 707–431, Proceedings of symposium, 1st–3rd April 1970, Washington, US Naval Research Laboratory, US Defence Documentation Centre.
    2. 2)
      • J.L. Shanks . Computation of the fast Walsh–Fourier transform. IEEE Trans. , 457 - 459
    3. 3)
      • J.E. Whelchel , D.F. Guinn . (1968) , The fast Fourier–Hadamard transform and its use in signal representation and classification.
    4. 4)
      • Gibbs, J.E.: `Discrete complex Walsh functions', Proceedings of the symposium on the applications of Walsh functions, 1970, Washington, US Naval Research Laboratory, p. 107–122.
    5. 5)
      • H.F. Harmuth . (1972) , Transmission of information by orthogonal functions.
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