Abstract
This chapter proposes a novel design methodology for a Multi-stAge noise SHaping (MASH) digital delta–sigma modulator (DDSM) which employs multi-moduli. The structure is termed the MM-MASH. The adequacy and benefit of using such a structure is demonstrated. In particular, the sequence length is lengthened if the quantizer modulus of the first-order error feedback modulator (EFM1) of each stage are co-prime numbers. An expression for the sequence length of an MM-MASH is derived.
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References
Borkowski, M.J., Kostamovaara, J.: Spurious tone free digital delta-sigma modulator design for dc inputs. In: Proceedings of the IEEE International Symposium on Circuits and Systems, pp. 5601–5604. Kobe, Japan (2005)
Borkowski, M.J., Riley, T.A.D., Häkkinen, J., Kostamovaara, J.: A practical Δ-Σ modulator design method based on periodical behavior analysis. IEEE Trans. Circ. Syst.-II: Express Briefs 52(10), 626–630 (2005)
Crandall, R.E., Pomerance, C.: Prime Numbers: A Computational Perspective. Springer, Germany (2001)
Gu, R., Ramaswamy, S.: Fractional-N phase locked loop design and applications. In: Proceedings of the 7th International Conference on ASIC, pp. 327–332. Guilin, China (2007)
Hosseini, K., Kennedy, M.P.: Mathematical analysis of digital mash delta-sigma modulator for fractional-N frequency synthesizers. In: Proceedings of the IEEE Ph.D. Research in Microelectronics and Electronics, pp. 309–312. Otranto (Lecce), Italy (2006)
Hosseini, K., Kennedy, M.P.: Mathematical analysis of a prime modulus quantizer mash digital delta-sigma modulator. IEEE Trans. Circ. Syst.-II: Express Brief 54(12), 1105–1109 (2007)
Hosseini, K., Kennedy, M.P.: Maximum sequence length mash digital delta-sigma modulators. IEEE Trans. Circ. Syst.-I: Regular Papers 54(12), 2628–2638 (2007)
Kozak, M., Kale, İ.: Rigorous analysis of delta-sigma modulators for fractional-n pll frequency synthesis. IEEE Trans. Circ. Syst.-I: Regular Papers 51(6), 1148–1162 (2004)
Oppenheim, A.V., Schafer, R.W.: Discrete-Time Signal Processing. Prentice-Hall, Upper Saddle River, NJ (1999)
Pamarti, S., Galton, I.: Lsb dithering in mash delta-sigma d/a converters. IEEE Trans. Circ. Syst.-I: Regular Papers 54(4), 779–790 (2007)
Pamarti, S., Welz, J., Galton, I.: Statistics of the quantization noise in 1-bit dithered single-quantizer digital delta-sigma modulators. IEEE Trans. Circ. Syst.-I: Regular Papers 54(3), 492–503 (2007)
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Xu, T., Condon, M. (2010). MASH Digital Delta–Sigma Modulator with Multi-Moduli. In: Ao, SI., Gelman, L. (eds) Electronic Engineering and Computing Technology. Lecture Notes in Electrical Engineering, vol 60. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-8776-8_2
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DOI: https://doi.org/10.1007/978-90-481-8776-8_2
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