Abstract
We study the processes in low-and high-pass filters that use fixed-point arithmetic, assuming that the filter parameter is exactly specified and the multiplication operation is performed, while the addition operation is carried out in a complement code with rounding off. The adder has a sawtooth characteristic. The method of mapping is used for a study of free oscillations and oscillations under constant bias at the input, both in the absence and in the presence of the adder overflow. Expressions for calculation of the most probable modes for an arbitrary number of quantization levels are obtained.
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