NDLI: Mathematical Analysis of Digital MASH Delta-Sigma Modulators for Fractional-N Frequency Synthesizers

Content Provider	IEEE Xplore Digital Library
Author	Hosseini, K. Kennedy, M.P.
Copyright Year	2006
Description	Author affiliation: Dept. of Microelectron. Eng., Cork Univ. Coll. (Hosseini, K.; Kennedy, M.P.)
Abstract	A mathematical analysis is performed to investigate the periodic behavior of digital MASH delta-sigma modulators (DSM). The analysis is performed on first, second and third order MASH digital DSMs with odd initial conditions on the first stage. We prove that the maximum sequence length for the first order modulator is $2^{N}$ and for the second order modulator is 2N + 1, where N is the word length of the state. In the case of first and second order modulators, the maximum sequence length can be achieved when odd digital inputs are applied. In the case of the third order modulator, the sequence length is equal to 2N + 1for all digital inputs
Starting Page	309
Ending Page	312
File Size	307052
Page Count	4
File Format	PDF
ISBN	1424401577
DOI	10.1109/RME.2006.1689958
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-06-12
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Multi-stage noise shaping Frequency synthesizers Frequency modulation Digital modulation Mathematical analysis Educational institutions Delta modulation Microelectronics Performance analysis Noise shaping
Content Type	Text
Resource Type	Article

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Mathematical Analysis of Digital MASH Delta-Sigma Modulators for Fractional-N Frequency Synthesizers