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Frequency response of a digital network

Frequency response of a digital network

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To compute the frequency response of a multi-input multi-output digital network, an efficient method is to calculate from a knowledge of the poles and zeros of its transfer function. While poles can be obtained as eigenvalues of the state matrix, a simple method is presented for determining the zeros, too, as eigenvalues of a matrix.

References

    1. 1)
      • Crochiere, R.E.: `Digital network theory and its application to the analysis and design of digital filters', 1974, Ph.D. thesis, MIT, p. 25–42 131–133.
    2. 2)
      • Crochiere, R.E.: `Some network properties of digital filters', 107, Quarterly Progress Report, October 1972, p. 103–112.
    3. 3)
      • : Proceedings of IEEE international symposium on circuit theory, 1973, p. 146–148, see also.
    4. 4)
      • I.W. Sandberg . On the theory of linear multiloop feedback systems. Bell Syst. Tech. J. , 335 - 382
    5. 5)
      • I.W. Sandberg , H.C. So . A two-sets-of-eigenvalues approach to the computer analysis of linear systems. IEEE Trans. , 509 - 517
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