On sensitivity and roundoff noise in wave digital filters

Abstract

In a wave digital (WD) filter, attenuation, and thus attenuation sensitivity, can be defined in two different ways. The first type of sensitivity is of importance from the point of view of attenuation distortion and can easily be kept small. The second, which differs from the first at most by an additive constant, is important from the point of view of roundoff noise. Structures are discussed for which both definitions coincide, thus ensuring the possibility of keeping both sensitivities simultaneously low.