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Maximizing Cycle Lengths by Architecture Modification

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Minimizing Spurious Tones in Digital Delta-Sigma Modulators

Part of the book series: Analog Circuits and Signal Processing ((ACSP))

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Abstract

In this chapter, we describe deterministic techniques for maximizing the cycle length by changing the architecture (rather than by setting initial conditions and/or input or by adding dither). We modify the conventional MASH DDSM and refer to the new maximum cycle length structure as HK-MASH. First, the modified first-order Error Feedback Modulator (EFM) is described. Then, the modified EFM is utilized in the HK-MASH DDSM. The spectral performance of second, third, and fourth order HK-MASH modulators with small and large accumulator word lengths is studied by simulation.

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Notes

  1. 1.

    The cycle length is approximately equal to the number of available states.

  2. 2.

    In the spectral plots presented in this chapter, the solid curves represent the idealized shaped white quantization noise, including the dither contribution where applicable.

  3. 3.

    The details of calculating the autocorrelation function in MATLAB are given in Section 3.5.

References

  1. M. J. Borkowski, T. A. D. Riley, J. Hakkinen, and J. Kostamovaara, “A practical delta sigma modulator design method based on periodical behavior analysis,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 52, pp. 626–630, Oct. 2005.

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  2. K. Hosseini and M. P. Kennedy, “Mathematical analysis of digital MASH delta-sigma modulators for fractional-N frequency synthesizers,” in Proceedings of PRIME 2006, Lecce, Italy, June 2006, pp. 309–312.

    Google Scholar 

  3. P. Level and S. R. L. Camino, “Digital to digital sigma-delta modulator and digital frequency synthesizer incorporating the same,” US Patent 6,822,593 B2, Nov. 23, 2004.

    Google Scholar 

  4. K. Hosseini and M. P. Kennedy, “Mathematical analysis of a prime modulus quantizer MASH digital delta-sigma modulator,” IEEE Transactions on Circuits and Systems Part II: Express Briefs, vol. 54, no. 12, pp. 1105–1109, Dec. 2007.

    Article  Google Scholar 

  5. J. Song and I.-C. Park, “Spur-free MASH delta-sigma modulation,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 9, pp. 2426–2437, Sept. 2010.

    Article  MathSciNet  Google Scholar 

  6. K. Hosseini and M. P. Kennedy, “Maximum sequence length MASH digital delta sigma modulators,” IEEE Transactions on Circuits and Systems I, vol. 54, no. 12, pp. 2628–2638, Dec. 2007.

    Article  Google Scholar 

  7. K. Hosseini and M. P. Kennedy, “A sigma-delta modulator,” Filed: Irish Patent NATI82/P/IE, Oct. 4, 2006.

    Google Scholar 

  8. http://www.xilinx.com/

  9. http://www.analog.com/

  10. http://en.wikipedia.org/wiki/Linear_feedback_shift_register

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Correspondence to Kaveh Hosseini .

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© 2011 Springer Science+Business Media, LLC

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Hosseini, K., Kennedy, M.P. (2011). Maximizing Cycle Lengths by Architecture Modification. In: Minimizing Spurious Tones in Digital Delta-Sigma Modulators. Analog Circuits and Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0094-3_4

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  • DOI: https://doi.org/10.1007/978-1-4614-0094-3_4

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-0093-6

  • Online ISBN: 978-1-4614-0094-3

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