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A New Feedback Configuration for Canonical Realization of IIR Filters and Its Application to Lattice Realizations

  • Suhash Chandra Dutta RoyEmail author
Chapter

Abstract

A feedback configuration is presented for canonical realization of an arbitrary IIR transfer function H(z) = P(z)/Q(z) with \( M = P\left( z \right)^{0} < N = Q\left( z \right)^{0} \), which does not appear to have been discussed in the literature. It consists of an IIR transfer function F(z) of degree R. In the forward path, where M ≤ R < N, and an FIR transfer function G(z) of degree NM, in which the first RM + 1 terms are absent in the feedback path. F(z) and G(z) can be realized by any structure including lattice, if applicable. Application of this method is shown to solve the problem of canonical lattice realization of any IIR transfer function H(z) = P(z)/Q(z) in which M < N and the constant term in P(z) is absent.

Keywords

IIR filters Feedback configuration Canonical realization Lattice structures 

Notes

Acknowledgements

After the publication of [2], it was pointed out by Professor S. K. Mitra of the University of California, Santa Barbara, that the idea of using two different parameters in a lattice section was exploited earlier in [4]. However, the approach, algorithms and the final realizations are, in general, different.

References

  1. 1.
    S.K. Mitra, Digital Signal Processing. A Computer Based Approach (Tata McGraw-HilI, New Delhi, 2001)Google Scholar
  2. 2.
    S.C. Dutta Roy, A new canonic lattice realization of arbitrary IIR transfer functions. IETE J. Res. 53, 19–23 (2007)Google Scholar
  3. 3.
    S.C. Dutta Roy, A new canonic lattice realization of arbitrary FIR transfer functions. IETE J. Res. 53, 13–18 (2007)Google Scholar
  4. 4.
    S.K. Mitra, P.S. Kamat, D.C. Huey, Cascaded lattice realization of digital filters. Int. J. Circuit Theory Appl. 5, 3–11 (1977)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Indian Institute of Technology DelhiNew DelhiIndia

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