Abstract
Hybrid filter bank (HFB) analog-to-digital converters (ADCs) are used to achieve higher sampling rates for medium-to-high resolution applications in many communication systems. However, the analog filter realization errors and channel mismatches severely degrade the reconstruction performance of HFB ADCs. A general error analysis, which takes analog imperfections and channel mismatches into consideration based on a single-channel filtering (SCF) HFB architecture is presented in this paper. A frequency-dependent model (FDM) for sub-ADCs output is then derived to integrate all the realization errors to an equivalent channel-transfer function (ECTF). Based on the ECTF, the perfect reconstruction condition is derived as the optimization object for the synthesis filter banks. Finally, a two-channel SCF HFB ADC prototype with 12-bit resolution and 200 MHz sampling rate is implemented. After mismatch correction with 64-tap finite impulse response (FIR) filters, 75.75 dB of spurious-free dynamic range (SFDR) is achieved over the whole bandwidth. The experimental results show that the average SFDR is enhanced by about 10–25 dB compared with the traditional calibration method.
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References
AD9233: 12-bit, 80 MSPS/105 MSPS/125 MSPS, 1.8 V analog-to-digital converter, analog devices. Available: http://www.analog.com. Accessed 22 July 2012
D. Asemani, J. Oksman, D. Poulton, Modelling the imperfections of analog circuits using second-order statistics, in Proc. IEEE Int. Symp. Commun. Control and Signal Process (2006), pp. 13–16
D. Asemani, J. Oksman, P. Duhamel, Subband architecture for hybrid filter bank A/D converters. IEEE J. Sel. Top. Signal Process. 2(2), 191–201 (2008)
D. Asemani, J. Oksman, Time-division multiplexing architecture for hybrid filter bank A/D converters, in Proc. 50th Midwest Symposium on Circuits and Systems (2007), pp. 405–408
D. Asemani, J. Oksman, Sensitivity of time-division multiplexing parallel A/D converters to analog imperfection, in Proc. IEEE Workshop on Signal Process. Syst (2007), pp. 382–386
W.C. Black, D.A. Hodges, Time interleaved converter arrays. IEEE J. Solid-State Circuits 15(6), 1022–1029 (1980)
S.W. Director, Active and Passive Analog Filter Design (McGraw-Hill, New York, 1993)
E. Elias, P. Löwenborg, H. Johansson, L. Wanhammar, Design of M-channel tree-structured filter banks with very low-complexity analysis filters, in Proc. IEEE Int. Conf. Electronics Circuits Syst, Jounieh, Lebanon, vol. 1 (2000), pp. 87–90
H. Gavin, The Levenberg–Marquardt method for nonlinear least squares curve-fitting problems. Department of Civil and Environmental Engineering, Duke University, September 28, 2011, Available: http://www.duke.edu/~hpgavin/ce281/lm.pdf. Accessed 22 July 2012
N. Kurosawa, H. Kobayashi, K. Maryouma, H. Sugawara, K. Kobayashi, Explicit analysis of channel mismatch effects in time-interleaved ADC systems. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 48(3), 261–271 (2001)
C. Lelandais-Perrault, T. Petrescu, D. Poulton, P. Duhamel, J. Oksman, Wideband, bandpass, and versatile hybrid filter bank A/D conversion for software radio. IEEE Trans. Circuits Syst. I, Regul. Pap. 56(8), 1772–1782 (2009)
A. Lesellier, O. Jamin, J.-F. Bercher, O. Venard, Design, optimization and realization of an HFB-based ADC, in Proc. 20th Eur. Conf. Circuit Theory and Design, August 29 to 31 (2011), pp. 138–141
Z.Y. Liu, M.L. Lin, Design of two-channel hybrid analog/digital banks satisfying near perfect reconstruction, in Proc. IEEE Int. Conf. Signal Process (2004), pp. 407–410
P. Löwenborg, H. Johansson, L. Wanhammar, First-order sensitivity of complementary diplexers. IEEE Trans. Circuits Syst. II 51(8), 421–425 (2004)
D.E. Marelli, K. Mahata, M. Fu, Hybrid filterbank ADCs with blind filterbank estimation. IEEE Trans. Circuits Syst. I, Regul. Pap. 58(10), 2446–2457 (2011)
S.J. Mazlouman, S. Mirabbasi, A frequency-translating hybrid architecture for wideband analog-to-digital converters. IEEE Trans. Circuits Syst. II, Express Briefs 54(7), 576–580 (2007)
S.J. Mazlouman, S. Sheikhaei, S. Mirabbasi, A prototype implementation of a two-channel frequency-translating hybrid ADC, in Proc. Midwest Symp. Circuits & Systems (MWSCAS/NEWCAS) (2007), pp. 144–147
S.J. Mazlouman, S. Sheikhaei, S. Mirabbasi, Digital compensation techniques for frequency-translating hybrid analog-to-digital converters ADCs. IEEE Trans. Instrum. Meas. 60(3), 758–767 (2011)
S.J. Mazlouman, S. Sheikhaei, S. Mirabbasi, 4- and 6-GS/s 4-bit frequency-translating hybrid ADCs in 90-nm CMOS. Analog Integr. Circuits Signal Process. 68(3), 329–340 (2011)
T. Petrescu, C. Lelandais-Perrault, J. Oksman, Synthesis of hybrid filter banks for A/D conversion with implementation constraints—mixed distortion/aliasing optimization, in Proc. IEEE Conf. Acoust. Speech. Signal Process. (2004), pp. 977–1000
Y. Sanada, M. Ikehare, Decorrelating compensation scheme for coefficient errors of a filter bank parallel A/D converter. IEEE Trans. Wirel. Commun. 3(2), 341–347 (2004)
R. Schoenberg, Optimization with the quasi-Newton method. http://www.aptech.com/papers/qnewton.pdf. Accessed 22 July 2012
Z. Song, C. Lelandais-Perrault, D. Poulton, P. Bénabes, Adaptive equalization for calibration of subband hybrid filter banks A/D converters, in Proc. Eur. Conf. Circuit Theory and Design (2009), pp. 45–48
Z. Song, C. Lelandais-Perrault, D. Poulton, P. Bénabes, Synthesis of subband hybrid filter banks ADCs with finite word-length coefficients using adaptive equalization, in Proc. IEEE Int. Symp. Circuits and Systems (2010), pp. 577–580
S.R. Velazquez, T.Q. Nguyen, S.R. Broadstone, Design of hybrid filter banks for analog/digital conversion. IEEE Trans. Signal Process. 46(4), 956–967 (1998)
S.R. Velazquez, Hybrid filter banks for analog/digital conversion. Ph.D. dissertation, Mass. Inst. Technol., Cambridge, MA, June 1997
C. Vogel, The impact of combined channel mismatch effects in time interleaved ADCs. IEEE Trans. Instrum. Meas. 54(1), 415–427 (2005)
R.H. Walden, Analog-to-digital converter survey and analysis. IEEE J. Sel. Areas Commun. 17(4), 530–550 (1999)
R.J. Wenzel, Application of exact synthesis methods for multichannel filter design. IEEE Trans. Microw. Theory Tech. 13(1), 5–15 (1965)
Y. Yang, S.J. Liu, J.X. Chen, Influences of realization errors on hybrid filter banks A/D converters, in Proc. IEEE Int. Conf. Solid-State and Integr. Circuit Technol. (2008), pp. 1984–1987
S.H. Zhao, S.C. Chan, Design and multiplierless realization of digital synthesis filters for hybrid-filter-bank A/D converters. IEEE Trans. Circuits Syst. I, Regul. Pap. 56(10), 2221–2233 (2009)
Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant 61106028. The authors would like to thank Dr. Y. Yang and Dr. Z.G. Ying for their valuable discussions.
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Liu, S.J., Wang, J.S. & Qi, P.P. Calibration for Realization Errors of Two-Channel Hybrid Filter Bank Analog-to-Digital Converters Based on Frequency-Dependent Model. Circuits Syst Signal Process 33, 761–779 (2014). https://doi.org/10.1007/s00034-013-9657-5
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DOI: https://doi.org/10.1007/s00034-013-9657-5