Dynamic Quantization of Digital Filter Coefficients
https://doi.org/10.31854/1813-324X-2021-7-2-8-17
Abstract
The possibility of quantizing the coefficients of a digital filter in the concept of dynamic mathematical programming, as a dynamic process of step-by-step quantization of coefficients with their discrete optimization at each step according to the objective function, common to the entire quantization process, is considered. Dynamic quantization can significantly reduce the functional error when implementing the required characteristics of a lowbit digital filter in comparison with classical quantization. An algorithm is presented for step-by-step dynamic quantization using integer nonlinear programming methods, taking into account the specified signal scaling and the radius of the poles of the filter transfer function. The effectiveness of this approach is illustrated by dynamically quantizing the coefficients of a cascaded high-order IIR bandpass filter with a minimum bit depth to represent integer coefficients. A comparative analysis of functional quantization errors is carried out, as well as a test of the quantized filter performance on test and real signals.
About the Author
V. N. Bugrov
N.I. Lobachevsky State University of Nizhni Novgorod
Russian Federation
Russian Federation
Nizhni Novgorod, 603022
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Review
For citations:
Bugrov V.N. Dynamic Quantization of Digital Filter Coefficients. Proceedings of Telecommunication Universities. 2021;7(2):8-17. (In Russ.) https://doi.org/10.31854/1813-324X-2021-7-2-8-17
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