Parametrizations in digital system design

  • Michel Gevers
  • Gang Li
Part of the Communications and Control Engineering book series (CCE)


In the early days, a digital filter characterized by its transfer function was usually implemented directly in one of several possible ‘canonical forms’— more often called ‘direct forms’ in the signal processing community — because these forms minimize the number of coefficients and arithmetic operations that are required. A minimal number of coefficients corresponds to minimal complexity, an attribute that may be important if the operation count or memory space plays a significant role. It was found, however, that the performance of a digital filter implemented in these forms can be seriously degraded by Finite Word Length (FWL) effects. In fact, these structures have undesirable numerical properties as will be made clear throughout this book. This problem can be partially alleviated by the use of other parametrizations of the filter such as the parallel and cascade forms of a series of first or second order sub-filters.


Transfer Function Digital Filter Optimal Realization State Space Realization Initial Realization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag London Limited 1993

Authors and Affiliations

  • Michel Gevers
    • 1
  • Gang Li
    • 2
  1. 1.Centre for Systems Engineering and Applied Mechanics (CESAME)Université Catholique de Louvain, Bâtiment EulerLouvain-la-NeuveBelgium
  2. 2.School of Electrical and Electronic EngineeringNanyang Technological UniversitySingapore

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