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A class of linear-phase FIR lters was originally introduced by the last two authors of this article. Their proposed structure approximated the transfer function of G(z)G(z-1), where G(z) was the transfer function of a Stable IIR lter. The approximation to G(z)G(z--1) was essentially a truncation of its impulse response performed by a feed forward part, followed by a shift to make it implementable. This paper introduces a new approximation to G(z)G(z-1), based on an alternative truncation scheme, and discusses its advantages over the original design.