Abstract
This article proposes an analytical algorithm for predicting errors in lock-in amplifiers (LIAs) working with time-varying reference frequency. Furthermore, a simple method for correcting such errors is presented. The reference frequency can be swept in order to measure the frequency response of a system within a given spectrum. The continuous variation of the reference frequency produces a measurement error that depends on three factors: the sweep speed, the LIA low-pass filters, and the frequency response of the measured system. The proposed error prediction algorithm is based on the final value theorem of the Laplace transform. The correction method uses a double-sweep measurement. A mathematical analysis is presented and validated with computational simulations and experimental measurements.
References
5
Referenced
12
{'key': '2023070316190983200_c1', 'article-title': 'About Lock-In Amplifiers'}
/ About Lock-In Amplifiers10.1063/1.1854196
/ Rev. Sci. Instrum. (2005){'year': '2006', 'key': '2023070316190983200_c3', 'article-title': 'Agilent E5100A Network Analyzer Technical Overview'}
/ Agilent E5100A Network Analyzer Technical Overview (2006){'edition': '4th ed.', 'volume-title': 'Phase-Locked Loops—Design, Simulation and Applications', 'year': '1996', 'key': '2023070316190983200_c4'}
/ Phase-Locked Loops—Design, Simulation and Applications (1996){'key': '2023070316190983200_c5', 'first-page': '603', 'volume-title': 'Signals and Systems', 'author': 'Oppenheim', 'year': '1983', 'edition': '1st ed.'}
/ Signals and Systems by Oppenheim (1983)
Dates
Type | When |
---|---|
Created | 18 years, 8 months ago (Jan. 5, 2007, 4:31 a.m.) |
Deposited | 2 years, 2 months ago (July 3, 2023, 12:23 p.m.) |
Indexed | 1 month ago (July 30, 2025, 6:48 a.m.) |
Issued | 18 years, 8 months ago (Jan. 1, 2007) |
Published | 18 years, 8 months ago (Jan. 1, 2007) |
Published Online | 18 years, 8 months ago (Jan. 4, 2007) |
Published Print | 18 years, 8 months ago (Jan. 1, 2007) |
@article{Sonnaillon_2007, title={Lock-in amplifier error prediction and correction in frequency sweep measurements}, volume={78}, ISSN={1089-7623}, url={http://dx.doi.org/10.1063/1.2428269}, DOI={10.1063/1.2428269}, number={1}, journal={Review of Scientific Instruments}, publisher={AIP Publishing}, author={Sonnaillon, Maximiliano Osvaldo and Bonetto, Fabian Jose}, year={2007}, month=jan }