Abstract
The problem of determining a shaping filter which minimized the output roundoff-noise variance is discussed. It is shown that in the family of shaping filters of an identical McMillan degree having an identical power spectrum, the shaping filter of minimum phase attains a minimum output roundoff-noise variance in either the case of optimal word lengths or the case of equal word lengths. It is shown out by examples that this is not valid in the family of shaping filters having an identical power spectrum and different McMillan degrees.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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