Overlap-save and overlap-add filters: optimal design and comparison

  • Authors:

  • Ali Daher;El Houssaïn Baghious;Gilles Burel;Emanuel Radoi

  • Affiliations:

  • Université Européenne de Bretagne, Université de Brest, CNRS, UMR, Lab-STICC, ISSTB, Brest Cedex 3, France;Université Européenne de Bretagne, Université de Brest, CNRS, UMR, Lab-STICC, ISSTB, Brest Cedex 3, France;Université Européenne de Bretagne, Université de Brest, CNRS, UMR, Lab-STICC, ISSTB, Brest Cedex 3, France;Université Européenne de Bretagne, Université de Brest, CNRS, UMR, Lab-STICC, ISSTB, Brest Cedex 3, France

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 2010

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Abstract

Overlap-save (OLS) and overlap-add (OLA) are two techniques widely used in digital filtering. In traditional OLS and OLA implementations, the system is compelled to be time-invariant and conventional filter synthesis techniques are used for designing the block filter. In this paper, based on the OLS and the OLA structures, we develop a fast algorithm for designing the optimal OLS and OLA block filters using a quadratic criterion. Comparing OLA to OLS optimal design, we demonstrate that,as in classical design approaches, they show no difference when the filters are time-invariant. However, when aliasing is not zero,although the global aliasing is the same, its components with respect to frequency are different. This conclusion is supported by simulation results, and a comparison between the optimal approach and some other standard approaches is also provided.