A Robust Symmetrical Number System with Gray code properties for applications in signal processing
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1997
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 92
Description: A new symmetrical number system with applications in parallel signal processing is investigated. The      Robust Symmetrical Number System (RSNS) is a modular system in which the integer values within each      modulus, when considered together, change one at a time at the next position (Gray code properties).      Although the observed dynamic range of the RSNS is somewhat less than the optimum symmetrical      number system, the Gray code properties make it particularly attractive for folding analog-to-digital      converters. With the RSNS, the encoding errors (due to comparator thresholds not being crossed      simultaneously) are eliminated, as is the need for the corresponding interpolation signal processing      (reduced complexity). Computer generated data is used to help determine the properties of the RSNS.      These properties include the largest dynamic range (number of distinct consecutive vectors), and the      position of the largest dynamic range within the system. The position of the maximum unambiguous      dynamic range is also quantified. Least squares analysis of 2 and 3 moduli systems are used to formulate      closed-form expressions for the dynamic range. To compare the advantages of the RSNS with previously      published results, the transfer function of a 3 channel RSNS folding analog-to-digital converter      architecture (m1 =3, m2 = 4, and m3 = 5) is numerically evaluated using SPICE.
Notes: Thesis advisor, Phillip E. Pace.

ADA337408

Thesis (M.S. in Systems Engineering) Naval Postgraduate School, Sept. 1997.

Includes bibliographical references (p. 89-90).

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dk/dk cc:9116 02/19/98.