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. 2020 Mar 17;10:4852. doi: 10.1038/s41598-020-60878-7

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© The Author(s) 2020

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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(a) Absolute numerical error of the CZT–ICZT procedure, as a function of the polar angle of W for 16-point chirp contours on the unit circle. The discretization step was 0.1°, i.e., there were 3600 angles. The three red points indicate the error for the three contours shown in Fig. 3. (b) The plot from (a) with the error prediction from Eq. (21) superimposed in red.