ANSDM converters dynamic range design process
DOI:
https://doi.org/10.5604/01.3001.0014.6319Keywords:
1-bit Delta Modulation (DM), Adaptive Delta Modulation (ADM), Non-Uniform Sampling Delta Modulation (NSDM), SNR, Adaptive Non-Uniform Sampling Delta Modulation (ANSDM), Dynamic Range (DR), Lambert W function, sampling interval, Maple by MaplesoftAbstract
The results of analytic and simulating works proved that for nonstationary sources, the delta converters with adaptive sampling expose higher coding efficiency than the former proposals, based on uniform sampling methods. The knowledge of the sampling interval range and the algorithm of the Nonuniform Sampling Delta Modulation and Adaptive Nonuniform Sampling Delta Modulation allows finding the necessary number of the sampling intervals and their values that maximizes SNR. The total dynamic range of the ANSDM modulator is the product of the dynamic range both from sampling interval and step size adaptation. Due to the high complexity of the calculations, the ANSDMsoft program was developed to support computing. All computational works were carried out using the Maple environment. Maple allows to solve complex mathematical functions and display their results in a simple way. Most importantly, it supports the LambertW function, used in the computing of NSDM or ANSDM modulators parameters. Graphic illustrations of the NSDM and ANSDM modulator dynamic range as a function of the minimum and maximum sampling frequency are presented.
Downloads
References
Abate JE. Linear and adaptive delta modulation. Proceedings of the IEEE. 1967;55(3):298–308. doi: https://doi.org/10.1109/PROC.1967.5486. Google Scholar
Golański R. 1-bitowe przetworniki różnicowe a/c i c/a z próbkowaniem adaptacyjnym – metody analizy i ocena właściwości [= A/D and D/A delta converters with adaptive sampling – methods analysis and performances evaluation]. Kraków: Akademia Górniczo-Hutnicza, Uczelniane Wydawnictwa Naukowo-Dydaktyczne; 2005. Google Scholar
Golański R. Study on the dynamic range of delta modulations with time-varying sampling periods. IEEE Signal Processing Letters. 2004;11(8):666–669. doi: https://doi.org/10.1109/LSP.2004.831727. Google Scholar
Golański R, Kołodziej J, Kuta S. Parameters design method of Delta Modulations with non-uniform sampling periods. Proceedings of the 13th WSEAS International Conference on SYSTEMS, Rodos, Greece, July 22–24. 2009:392–395. Google Scholar
Golański R, Kołodziej J. Adaptive nonuniform sampling delta modulation – practical design studies. WSEAS Transactions on Circuits and Systems. 2010;9(10):617–626. Google Scholar
Golański R, Kołodziej J. Adaptive parameters discrete values designing for delta A/D converters with non-uniform sampling. In: Mastorakis N, Mladenov V, Bojkovic Z, editors. Latest trends on circuits: 14th WSEAS International Conference on Circuits. [Greece]: WSEAS Press; 2010:122–126. Google Scholar
Krasa M. Programowa weryfikacja metodyki wyznaczania parametrów modulatorów delta z adaptacją próbkowania [= Software verification of the methodology for determining the parameters of delta modulators with sampling adaptation]. [master thesis]. Krakow: AGH University of Science and Technology, Department of Electronics; 2009. Google Scholar
MapleSoft. Mathematics, modeling, simulating [Internet]. 2020 [cited 27 February 2020]. Available from: www.maplesoft.com. Google Scholar
Kaleta Ł. Stanowisko do badania modulatorów różnicowych z nierównomiernym próbkowaniem [= Microprocessor test stand for ANSDM modulation]. [master thesis]. Krakow: AGH University of Science and Technology, Department of Electronics; 2004. Google Scholar
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 University of Applied Sciences in Tarnow, Poland & Authors
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.