Comparison of error analysis methods for digital sine wave generators

Ruochen Li; Bin Wen; Chengliang Pan; Haojie Xia; Yi Hou

doi:10.1117/12.3032389

13 September 2024 Comparison of error analysis methods for digital sine wave generators

Ruochen Li, Bin Wen, Chengliang Pan, Haojie Xia, Yi Hou

Author Affiliations +

Proceedings Volume 13178, Eleventh International Symposium on Precision Mechanical Measurements; 1317806 (2024) https://doi.org/10.1117/12.3032389
Event: Eleventh International Symposium on Precision Mechanical Measurements, 2023, Guangzhou, China

Abstract

Digital sine wave generators are widely used to provide high-precision analog sine wave signals in integrated devices for detection, communication, and control systems. In the working process of digital sine wave generator, various errors of circuit components, such as DAC, amplifier, and others are difficult to avoid, due to manufacturing defects and working environment, which will lead to corresponding distortions of the actual output signals and performance degradations of the systems. To overcome the error impacts of DAC and other circuit components on the output sine signals of digital sine wave generators, a novel error analysis method is proposed and compared with the traditional methods. A model is built to simulate the offset error, gain error, and nonlinear error of DAC, which will used to generate sine wave signals with different settable errors. The error curves of sine wave signals are extracted with average algorithm from the output signals with noise. A particle swarm optimization algorithm for a sine function is used to fit the error curves and compared with the traditional least squares fitting method for the polynomial error expression. The results demonstrate that the RMSE value of the proposed error fitting method is 23.4478, and the computational time of the algorithm is 0.37 seconds. These metrics are both lower than those of the polynomial error fitting method predicated on the traditional least squares approach. The findings validate the superior performance of the proposed method in the context of error fitting for digital sine signal generators.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

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Ruochen Li, Bin Wen, Chengliang Pan, Haojie Xia, and Yi Hou "Comparison of error analysis methods for digital sine wave generators", Proc. SPIE 13178, Eleventh International Symposium on Precision Mechanical Measurements, 1317806 (13 September 2024); https://doi.org/10.1117/12.3032389

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KEYWORDS

Particle swarm optimization

Error analysis

Signal generators

Analog electronics

Analog to digital converters

Signal processing

Computer hardware

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