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Design of sigma-delta modulators with arbitrary transfer functions | IEEE Conference Publication | IEEE Xplore

Design of sigma-delta modulators with arbitrary transfer functions


Abstract:

This paper addresses the design of sigma-delta modulators with arbitrary signal and noise transfer functions by presenting a genetic algorithm (GA) based search method. T...Show More

Abstract:

This paper addresses the design of sigma-delta modulators with arbitrary signal and noise transfer functions by presenting a genetic algorithm (GA) based search method. The objective function is defined to include the difference D between the magnitude of the frequency responses of the designed transfer functions and the ideal one, the quantizer gain /spl lambda//sub critical/ for which the poles of the modulator start moving out of the unit circle, and the spread of the coefficients S. Stability can be improved by reducing /spl lambda//sub critical/ while a smaller S reduces the implementation complexity. A genetic algorithm (GA) searches for poles/zeros of the transfer functions to minimize the objective function D+w/sub 1/*/spl lambda//sub critical/+w2*S, where w/sub 1/ and w/sub 2/ are two weighing factors. Numerical results demonstrate the effectiveness of the proposed method.
Date of Conference: 23-23 March 2005
Date Added to IEEE Xplore: 09 May 2005
Print ISBN:0-7803-8874-7

ISSN Information:

Conference Location: Philadelphia, PA, USA

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