Cart (Loading....) | Create Account
Close category search window
 

Fast and efficient algorithm to design noise-shaping FIR filters for high-order overload-free stable sigma-delta modulators

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Yagyu, M. ; Dept. of Electr. & Electron. Eng., Tokyo Univ. of Agric. & Technol., Japan ; Nishihara, A.

This paper presents a fast and efficient algorithm to design FIR noise transfer functions (NTFs) for overload-free stable high-order ΣΔ modulators. In the design, three parameters, filter order, oversampling ratio (OSR) and l1-norm of the impulse response are specified, and the in-band peak of the amplitude response is minimized under the specification. The design problem is formulated as a linear minimax problem, in which the stability condition limits the l1-norm of the impulse response of the NTF. The proposed algorithm can fast and efficiently solve the problem by iteratively utilizing the simplex method. In numerical examples, it is confirmed that the proposed algorithm can design near optimum ΣΔ modulators and besides is far faster and more efficient than the conventional design methods. Besides, by the proposed algorithm simulation results reveal the existence and achievable performance of rigorously stable ΣΔ modulators up to the order 199. Then it is revealed that a single-bit ΣΔ modulator for OSR 64 can have an in-band peak amplitude -96.2[dB], while rigorously ensuring the stability, and this modulator achieves a high SNDR 107.6[dB] for a sinusoidal input signal. In addition, it is demonstrated that a rigorously stable nine-level ΣΔ modulator has an in-band peak amplitude -105.3[dB] for OSR 16 only by optimizing the high order NTF.

Published in:

Circuits and Systems, 2004. ISCAS '04. Proceedings of the 2004 International Symposium on  (Volume:1 )

Date of Conference:

23-26 May 2004

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.