For citation:
Brjuhanov J. A. Quantization effects in digital first order recursive filters with values truncation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2002, vol. 10, iss. 6, pp. 35-41. DOI: 10.18500/0869-6632-2002-10-6-35-41
Quantization effects in digital first order recursive filters with values truncation
Free oscillation and oscillation under a constant level input signal in low-frequency and high-frequency filters are considered. We use fixed point numbers in additional code. The method of one-dimensional point mapping is applied. Dynamical regimes are characterized by probabilistic diagrams. Expressions for most probably oscillation in the filter’s output with arbitrary numbers of quantization levels are defined. Given methods may be used for quantization effects investigation in the first-order digital filters with representation of the numbers in direct, inverse and additional code with rounding and truncation.
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