A digital background calibration method for time-interleaved ADCs based on frequency shifting technique
DOI:
https://doi.org/10.24425/mms.2024.150282Abstract
The presence of channel mismatches in time-interleaved analog-to-digital converters (TIADCs) seriously degrades the performance of the acquisition system. This paper presents a digital background calibration method to address gain and time skew mismatches. The spurious signals caused by gain and time skew mismatches can be represented by the frequency-shifted signals produced by modulating the TIADC output. To create frequency-shifted signals, the Hadamard transform is adopted. The advantage of the proposed calibration method is that it does not require any filters or complex signal processing structures, thus considerably decreasing the complexity of the calibration circuit. We have employed a four-channel TIADC system to validate the effectiveness of the proposed calibration technique. Moreover, it is demonstrated in a commercial 12.5 GSPS four-channel TIADC system, that this method improves the spurious free dynamic range of the system by 25 dB.References
[1] Zheng, Y., Zhao, Y., Zhou, N., Wang, H., & Jiang, D. (2021). A short review of some analog-to-digital converters resolution enhancement methods. Measurement, 180, 109554. https://doi.org/10.1016/j.measurement.2021.109554
[2] Song, J., An, J., Bu, X., Gao, X., & Hu, Y. H. (2021). Time- and Frequency-Interleaving: Distinctions and Connections. IEEE Transactions on Signal Processing, 69, 2555-2568. https://doi.org/10.1109/TSP.2021.3074013
[3] Black, W. C., & Hodges, D. A. (1980). Time interleaved converter arrays. IEEE Journal of Solid-State Circuits, 15(6), 1022-1029. https://doi.org/10.1109/JSSC.1980.1051512
[4] Buchwald, A. (2016). High-speed time interleaved ADCs. IEEE Circuits and Systems Magazine, 54(4), 71-77. https://doi.org/10.1109/MCOM.2016.7452269
[5] Kurosawa, N., Kobayashi, H., Maruyama, K., Sugawara, H., & Kobayashi, K. (2001). Explicit analysis of channel mismatch effects in time-interleaved ADC systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 48(3), 261-271. https://doi.org/10.1109/81.915383
[6] Vogel, C. (2005). The impact of combined channel mismatch effects in time-interleaved ADCs. IEEE Transactions on Instrumentation and Measurement, 54(1), 415-427. https://doi.org/10.1109/TIM.2004.834046
[7] Bonavolontà, F., d’Arco, M., De Benedetto, E., Dallet, D., & Tedesco, A. (2021). A Review of Streamline Calibration Approaches for Digital Storage Oscilloscopes with Time-Interleaved Channels. IEEE Instrumentation & Measurement Magazine, 24(4), 11-17. https://doi.org/10.1109/MIM.2021.9448259
[8] Li, J., Pan, J., & Zhang, Y. (2019). Automatic calibration method of channel mismatches for wideband TI-ADC system. Electronics, 8(1), 1-13. https://doi.org/10.3390/electronics8010056
[9] Yang, K., Pan, Z., Ye, P., Shi, J., Zhao, Y., & Meng, J. (2021). A fast Fourier transform based method to estimate frequency response mismatches in time interleaved systems. Review of Scientific Instruments, 92(5), 054709. https://doi.org/10.1063/5.0045246
[10] Zhao, L., Jiang, Z., Dong, R., Cao, Z., Gao, X., Cheng, B., Hu, J., Liu, S., & An, Q. (2018). An 8-Gs/s 12-bit TIADC system with real-time broadband mismatch error correction. IEEE Transactions on Nuclear Science, 65(12), 2892-2900. https://doi.org/10.1109/TNS.2018.2878875
[11] Peng, X., Zhang, Y., Wang, W., & Yang, S. (2021). Broadband mismatch calibration for time-interleaved ADC based on linear frequency modulated signal. IEEE Transactions on Circuits and Systems I: Regular Papers, 68(9), 3621-3630. https://doi.org/10.1109/TCSI.2021.3086065
[12] Tavares, Y. A., & Lee, M. (2021). A foreground calibration for M-channel time-interleaved analog-to-digital converters based on genetic algorithm. IEEE Transactions on Circuits and Systems I: Regular Papers, 68(4), 1444-1457. https://doi.org/10.1109/TCSI.2021.3051612
[13] Zheng, Y., Zhou, N., Zhao, Y., & Sun, S. (2022). Time-interleaved system mismatch estimation based on correlation function and particle swarm optimization algorithm. Review of Scientific Instruments, 93(10), 104702. https://doi.org/10.1063/5.0103225
[14] Tsai, T. H., Hurst, P. J., & Lewis, S. H. (2008). Correction of mismatches in a time-interleaved analog-to-digital converter in an adaptively equalized digital communication receiver. IEEE Transactions on Circuits and Systems I: Regular Papers, 56(2), 307-319. https://doi.org/10.1109/TCSI.2008.2002114
[15] Han, C., Liu, S., Zhang, Y., Feng, L., Liang, H., & Zhu, Z. (2023). An all-digital background calibration technique for M-channel downsampling time-interleaved ADCs based on interpolation. IEEE Transactions on Circuits and Systems II: Express Briefs, 56(2), 307-319. https://doi.org/10.1109/TCSII.2022.3233413
[16] Hu, M., & Yi, P. (2022). Digital calibration for gain, time skew, and bandwidth mismatch in under-sampling time-interleaved system. Applied Sciences, 12(21), 11029. https://doi.org/10.3390/app122111029
[17] Liu, S., Zhao, L., & Li, S. (2022). A novel all-digital calibration method for timing mismatch in time-interleaved ADC based on modulation matrix. IEEE Transactions on Circuits and Systems I: Regular Papers, 69(7), 2955-2967. https://doi.org/10.1109/TCSI.2022.3163431
[18] Le Duc, H., Nguyen, D. M., Jabbour, C., Graba, T., Desgreys, P., & Jamin, O. (2015). All-digital calibration of timing skews for TIADCs using the polyphase decomposition. IEEE Transactions on Circuits and Systems II: Express Briefs, 63(1), 99-103. https://doi.org/10.1109/TCSII.2015.2483423
[19] Xiong, W., Zhang, Z., Lang, L., & Dong, Y. (2023). A novel fully digital feedforward background calibration technique for timing mismatch in M-channel time-interleaved ADCs. Electronics, 12, 1965. https://doi.org/10.3390/electronics12091965
[20] Ta, V. T., Hoang, V. P., Pham, V. P., & Pham, C. K. (2020). An improved all-digital background calibration technique for channel mismatches in high speed time-interleaved analog-to-digital converters. Electronics, 9(1), 73. https://doi.org/10.3390/electronics9010073
[21] Matsuno, J., Yamaji, T., Furuta, M., & Itakura, T. (2013). All-digital background calibration technique for time-interleaved ADC using pseudo aliasing signal. IEEE Transactions on Circuits and Systems I: Regular Papers, 60(5), 1113-1121. https://doi.org/10.1109/TCSI.2013.2249176
[22] Qiu, Y., Liu, Y. J., Zhou, J., Zhang, G., Chen, D., & Du, N. (2018). All-digital blind background calibration technique for any channel time-interleaved ADC. IEEE Transactions on Circuits and Systems I: Regular Papers, 65(8), 2503-2514. https://doi.org/10.1109/TCSI.2018.2794529
[23] Bonnetat, A., Hodé, J., Ferré, G., & Dallet, D. (2015). Correlation-based frequency-response mismatch compensation of quad-TIADC using real samples. IEEE Transactions on Circuits and Systems II: Express Briefs, 62(8), 746-750. https://doi.org/10.1109/TCSII.2015.2433472
[24] Bonnetat, A., Hodé, J., Ferré, G., & Dallet, D. (2015). An adaptive all-digital blind compensation of dual-TIADC frequency response mismatch based on complex signal correlations. IEEE Transactions on Circuits and Systems II: Express Briefs, 62(9), 821-825. https://doi.org/10.1109/TCSII.2015.2435611
[25] Sun, L., Lang, L., Zhong, W, Liu, H, & Dong, Y. (2023). A fast mismatch calibration method based on frequency domain orthogonal decomposition for time-interleaved analog-to-digital converters. Electronics, 12, 5042. https://doi.org/10.3390/electronics12245042
[26] Guo, L., Tian, S., & Wang, Z. (2014). Estimation and correction of gain mismatch and timing error in time-interleaved ADCs based on DFT. Metrology and Measurement Systems, 21(3), 535-544. https://doi.org/10.2478/mms-2014-0045
[27] Vogel, C., & Mendel, S. (2009). A flexible and scalable structure to compensate frequency response mismatches in time-interleaved ADCs. IEEE Transactions on Circuits and Systems I: Regular Papers, 56(11), 2463-2475. https://doi.org/10.1109/TCSI.2009.2015595
