Correction: Nilsson, J. et al. Maximal Q Factor for an On-Chip, Fuse-Based Trimmable Capacitor. Electronics 2019, 8, 62

Joakim Nilsson; Johan Borg; Jonny Johansson

doi:10.3390/electronics8060688

,

and

¹

Department of Computer Science, Electrical and Space Engineering, Luleå University of Technology, 971 87 Luleå, Sweden

²

Department of Physics, Imperial College, London SW7 2AZ, UK

^*

Author to whom correspondence should be addressed.

Electronics2019, 8(6), 688;https://doi.org/10.3390/electronics8060688

This article belongs to the Special Issue All-Digital Time-Mode Approaches for Mixed Analog-Digital Signal Processing

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Order Reprints

The authors wish to make the following correction to our published paper [1]. In the last expression in Equation (7), as well as the expressions on both sides of the equality sign in Equation (9), the denominators and the numerators have been accidentally swapped. Furthermore, Equation (9) contains an additional typo, where two occurrences of

R_{2}

have been accidentally substituted by

X_{2}

. In summary, on page 4, Equation (7) should be changed from:

Q_{eq} = - \frac{ℑ \{Z_{eq}\}}{ℜ \{Z_{eq}\}} = - \frac{X_{1} (R_{2}^{2} + X_{2}^{2}) + X_{2} (R_{1}^{2} + X_{1}^{2})}{R_{1} (R_{2}^{2} + X_{2}^{2}) + R_{2} (R_{1}^{2} + X_{1}^{2})}

(1)

to the following correct version:

Q_{eq} = - \frac{ℑ \{Z_{eq}\}}{ℜ \{Z_{eq}\}} = - \frac{R_{1} (R_{2}^{2} + X_{2}^{2}) + R_{2} (R_{1}^{2} + X_{1}^{2})}{X_{1} (R_{2}^{2} + X_{2}^{2}) + X_{2} (R_{1}^{2} + X_{1}^{2})} .

(2)

Equation (9) should be changed from:

- \frac{X_{1} (R_{2}^{2} + X_{2}^{2}) + X_{2} (r_{f, on}^{2} + X_{1}^{2})}{r_{f, on} (R_{2}^{2} + X_{2}^{2}) + X_{2} (r_{f, on}^{2} + X_{1}^{2})} = - \frac{X_{1} (R_{2}^{2} + X_{2}^{2}) + X_{2} (k_{f}^{2} r_{f, on}^{2} + X_{1}^{2})}{k_{f} r_{f, on} (R_{2}^{2} + X_{2}^{2}) + X_{2} (k_{f}^{2} r_{f, on}^{2} + X_{1}^{2})}

(3)

to the following correct version:

- \frac{r_{f, on} (R_{2}^{2} + X_{2}^{2}) + R_{2} (r_{f, on}^{2} + X_{1}^{2})}{X_{1} (R_{2}^{2} + X_{2}^{2}) + X_{2} (r_{f, on}^{2} + X_{1}^{2})} = - \frac{k_{f} r_{f, on} (R_{2}^{2} + X_{2}^{2}) + R_{2} (k_{f}^{2} r_{f, on}^{2} + X_{1}^{2})}{X_{1} (R_{2}^{2} + X_{2}^{2}) + X_{2} (k_{f}^{2} r_{f, on}^{2} + X_{1}^{2})} .

(4)

The authors would like to apologise for any inconvenience caused to the readers by these changes. The change does not affect the scientific results. The manuscript will be updated and the original will remain online on the article webpage, with reference to this correction.

Reference

Nilsson, J.; Borg, J.; Johansson, J. Maximal Q Factor for an On-Chip, Fuse-Based Trimmable Capacitor. Electronics 2019, 8, 62. [Google Scholar] [CrossRef]

© 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

Correction: Nilsson, J. et al. Maximal Q Factor for an On-Chip, Fuse-Based Trimmable Capacitor. Electronics 2019, 8, 62

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