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Modeling of channel mismatch in time-interleaved SAR ADC

Dengquan Li, Liang Zhang, Zhangming Zhu and Yintang Yang

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 Corresponding author: Zhu Zhangming, zmyh@263.net

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Abstract: In a time-interleaved analog-to-digital converter (TI ADC), several individual ADCs operate in parallel to achieve a higher sampling rate. Low power consumption as well as good linearity can be obtained by applying successive approximation register (SAR) converters as sub-channel ADCs. In spite of the advantages, this structure suffers from three mismatches, which are offset mismatch, gain mismatch, and time skew. This paper focuses on a TI SAR ADC with a number of channels. The mismatch effects in the frequency domain are analyzed and the derived close form formulas are verified based on Matlab. In addition, we clarify that the standard deviation of DNL and INL of an M-channel TI ADC is reduced by a factor of $\sqrt{M}$ compared to a single channel ADC. The formulas can be used to derive the corresponding requirements when designing a TI ADC. Our analysis process is able to inform the study of calibration algorithms.

Key words: analog-to-digital convertertime interleavedsuccessive approximation registerchannel mismatch



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Fig. 1.  A model of a channel mismatch in a TI-SAR ADC.

Fig. 2.  ENOB as function of offset mismatch for 8-bit TI ADC.

Fig. 3.  Behavioral simulation of offset mismatch of 300 independent FFT spectrums when $M=$ 8.

Fig. 4.  ENOB as function of gain mismatch for 8-bit TI ADC.

Fig. 5.  Time skew.

Fig. 6.  ENOB as the function of time skew for 8-bit TI ADC.

Fig. 7.  DAC architecture for $V_{\rm cm}$-based SAR ADC.

Fig. 8.  All the three mismatches exist together ($M=$ 4).

Fig. 9.  The simulated and calculated results.

Fig. 10.  Behavioral simulation of nonlinearity of $V_{\rm cm}$-based SAR ADC and TI-SAR ADC.

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    Received: 05 February 2015 Revised: Online: Published: 01 September 2015

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      Dengquan Li, Liang Zhang, Zhangming Zhu, Yintang Yang. Modeling of channel mismatch in time-interleaved SAR ADC[J]. Journal of Semiconductors, 2015, 36(9): 095007. doi: 10.1088/1674-4926/36/9/095007 D Q Li, L Zhang, Z M Zhu, Y T Yang. Modeling of channel mismatch in time-interleaved SAR ADC[J]. J. Semicond., 2015, 36(9): 095007. doi: 10.1088/1674-4926/36/9/095007.Export: BibTex EndNote
      Citation:
      Dengquan Li, Liang Zhang, Zhangming Zhu, Yintang Yang. Modeling of channel mismatch in time-interleaved SAR ADC[J]. Journal of Semiconductors, 2015, 36(9): 095007. doi: 10.1088/1674-4926/36/9/095007

      D Q Li, L Zhang, Z M Zhu, Y T Yang. Modeling of channel mismatch in time-interleaved SAR ADC[J]. J. Semicond., 2015, 36(9): 095007. doi: 10.1088/1674-4926/36/9/095007.
      Export: BibTex EndNote

      Modeling of channel mismatch in time-interleaved SAR ADC

      doi: 10.1088/1674-4926/36/9/095007
      Funds:

      Project supported by the National Natural Science Foundation of China (Nos. 61234002, 61322405, 61306044, 61376033) and the National High-Tech Program of China (No. 2013AA014103).

      More Information
      • Corresponding author: Zhu Zhangming, zmyh@263.net
      • Received Date: 2015-02-05
      • Accepted Date: 2015-04-10
      • Published Date: 2015-01-25

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