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Design criterion for generation of Gaussian signals from smoothed m-sequences

Design criterion for generation of Gaussian signals from smoothed m-sequences

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Consideration of the formula for the fourth moment of the amplitude distribution of an m-sequence subject to lowpass filtering leads to a design criterion for choice of an m-sequence and filter to give close approximation to a Gaussian signal.

References

    1. 1)
      • Galvin, P.: `Some properties of filtered pseudorandom sequences', 1974, Ph.D. thesis, University of Salford.
    2. 2)
      • G.H. Tomlinson , P. Galvin . Analysis of skewing in amplitude distributions of filtered m-sequences. Proc. IEE , 12 , 1475 - 1479
    3. 3)
      • G.H. Tomlinson , P. Galvin . Elimination of shewing in the amplitude distributions of long m-sequences subjected to lowpass filtering. Electron. Lett. , 11 , 77 - 78
    4. 4)
      • W.W. Peterson , E.J. Weldon . (1972) , Error-correcting codes.
    5. 5)
      • S. Wainberg , J.K. Wolf . Subsequences of pseudorandom sequences. IEEE Trans. , 606 - 612
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