Abstract
The low roundoff noise performance of narrow-band low-pass digital filters realized in normal form is explained in terms of the zeros of the internal transfer functions that control the dynamic range-roundoff noise interaction. For narrow-band filters that have pole pairs close to the real axis, the internal transfer functions of normal realizations have a zero between each of these pole pairs. The effect of this zero is to reduce the norm of the transfer function, and produce a more favorable tradeoff between dynamic range and roundoff noise.
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