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Overlap-Save and Overlap-Add Filters: Optimal Design and Comparison

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4 Author(s)
Ali Daher ; CNRS, Université Européenne de Bretagne, Université de Brest, Brest cedex 3, France ; El Houssaïn Baghious ; Gilles Burel ; Emanuel Radoi

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.

Published in:

IEEE Transactions on Signal Processing  (Volume:58 ,  Issue: 6 )