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Minimum round-off noise realization of block-state recursive digital filters

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Abstract

The development of a block-state structure with minimum round-off noise subject to ℓ2-norm dynamic range constraint is outlined. The pertinent equations for scaling and for round-off noise analysis of block-state structures implemented using fixed-point arithmetic are first derived. Next, a lower bound and the global minimum of the output noise due to the round-off of the block-state-variables are derived. A method of deriving the minimum round-off noise block state-structure is outlined. A numerical example is included. With regard to computational complexity and overall noise performance, the block-state realization of recursive digital filters is shown to be superior.

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Authors and Affiliations

  1. Speech Technology Laboratory, 93105, Santa Barbara, California, USA

    P. Ananthakrishnan & S. K. Mitra

  2. Department of Electrical and Computer Engineering, University of California, 93106, Santa Barbara, California, USA

    S. K. Mitra

Authors
  1. P. Ananthakrishnan
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  2. S. K. Mitra
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Ananthakrishnan, P., Mitra, S.K. Minimum round-off noise realization of block-state recursive digital filters. Circuits Systems and Signal Process 1, 217–231 (1982). https://doi.org/10.1007/BF01600053

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  • DOI: https://doi.org/10.1007/BF01600053

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