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Frequency-Domain Min-Max Optimization for Delta-Sigma Modulators

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Frequency-Domain Min-Max Optimization for Delta-Sigma Modulators



16 Apr 2012 (Updated )

Matlab codes are provided for min-max optimization for loop-filter design in delta-sigma modulators.

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The MATLAB codes are based on our recent paper:
M. Nagahara and Y. Yamamoto,
Frequency-Domain Min-Max Optimization of Noise-Shaping Delta-Sigma Modulators,
IEEE Transactions on Signal Processing, Vol. 60, No. 6, pp. 2828-2839, 2012.
A draft can be down-loaded via:
We give two matlab codes:
By these codes, one can obtain lowpass/bandpass (by NTF_MINMAX) and multi-band (by NTF_MINMAX_MB) filters for noise-shaping delta-sigma modulators that minimize the maximum magnitude of the noise transfer function (NTF)
in fixed frequency band(s).

For details, see also the following web page:


Delta Sigma Toolbox inspired this file.

Required Products Control System Toolbox
MATLAB release MATLAB 7.13 (R2011b)
MATLAB Search Path
Other requirements YALMIP ( SeDuMi (
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23 Apr 2012 1.2

Added a link to our web page.

23 Apr 2012 1.1

Added a link to our web page.

20 Nov 2014 1.3

I made the submission available as a Toolbox. Also, the paper information is updated.

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