The ANSDM Converters Dynamic Range Design Process

Author:

Golański Ryszard1,Godek Juliusz1

Affiliation:

1. University of Applied Sciences in Tarnow Polytechnic Faculty Department of Electronics, Telecommunications, and Mechatronics

Abstract

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.

Publisher

University of Applied Sciences in Tarnow, Poland

Reference9 articles.

1. Abate JE. Linear and Adaptive Delta Modulation. Proceedings of the IEEE. 1967;55(3):298-307. doi: https://doi.org/10.1109/PROC.1967.5486

2. 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.

3. 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

4. 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.

5. Golański R, Kołodziej J. Adaptive nonuniform sampling delta modulation – practical design studies, WSEAS Transactions on Circuits and Systems. 2010;9(10):617–626.

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