Delta Sigma Toolbox

High-level design and simulation of delta-sigma modulators

Description

The Delta-Sigma Toolbox includes nearly 100 functions which support NTF synthesis, modulator simulation (from an NTF or a structure), realization, dynamic range scaling, SNR estimation and more. The toolbox is well-documented via the accompanying DSToolbox.pdf manual.

For further information regarding the Toolbox and Delta-Sigma modulators in general consider purchasing "Understanding Delta-Sigma Data Converters" by Schreier and Temes (ISBN 0-471-46585-2).

• Acknowledgements: This submission has inspired the following:; Data Weighted Averaging for Simulink
• Required Products: Control System Toolbox; Signal Processing Toolbox
• MATLAB release: MATLAB 7 (R14)
• Other requirements: Users should compile the simulateDSM.c and simulateESL.c files to speed up simulations.

Other Files

delsig/addPIS.m,
delsig/ai2mif.c,
delsig/axisLabels.m,
delsig/bilogplot.m,
delsig/bplogsmooth.m,
delsig/bquantize.m,
delsig/bunquantize.m,
delsig/calculateQTF.m,
delsig/calculateSNR.m,
delsig/calculateTF.m,
delsig/cancelPZ.m,
delsig/changeFig.m,
delsig/circ_smooth.m,
delsig/clans.m,
delsig/clans5.m,
delsig/clans6.m,
delsig/Contents.m,
delsig/dbm.m,
delsig/dbp.m,
delsig/dbv.m,
delsig/delay.m,
delsig/designHBF.m,
delsig/designHBF6.m,
delsig/designHBF7.m,
delsig/designLCBP.m,
delsig/designLCBP6.m,
delsig/DocumentNTF.m,
delsig/ds_f1f2.m,
delsig/ds_freq.m,
delsig/ds_hann.m,
delsig/ds_optzeros.m,
delsig/ds_quantize.m,
delsig/ds_synNTFobj1.m,
delsig/dsclansNTF.m,
delsig/dsclansObj.m,
delsig/dsdemo1.m,
delsig/dsdemo2.m,
delsig/dsdemo3.m,
delsig/dsdemo4.m,
delsig/dsdemo4.mat,
delsig/dsdemo4fig.m,
delsig/dsdemo5.m,
delsig/dsdemo6.m,
delsig/dsdemo7.m,
delsig/dsdemo8.m,
delsig/dsexample1.m,
delsig/dsexample2.m,
delsig/dsexample3.m,
delsig/dsexample4.m,
delsig/DSToolbox.pdf,
delsig/ESLselect.m,
delsig/evalF0.m,
delsig/evalF1.m,
delsig/evalMixedTF.m,
delsig/evalRPoly.m,
delsig/evalTF.m,
delsig/evalTFP.m,
delsig/exampleHBF.m,
delsig/figureMagic.m,
delsig/findPattern.m,
delsig/flattenStruct.c,
delsig/flattenStruct.m,
delsig/frespF1.m,
delsig/frespHBF.m,
delsig/impL1.m,
delsig/infnorm.m,
delsig/l1norm.m,
delsig/LCObj.m,
delsig/LCObj1.m,
delsig/LCoptparam2tf.m,
delsig/LCparam2tf.m,
delsig/LCplotTF.m,
delsig/logsmooth.m,
delsig/lollipop.m,
delsig/mapABCD.m,
delsig/mapCtoD.m,
delsig/mapQtoR.m,
delsig/mapRtoQ.m,
delsig/mod1.m,
delsig/mod2.m,
delsig/nabsH.m,
delsig/OnePageStory.pdf,
delsig/padb.m,
delsig/padl.m,
delsig/padr.m,
delsig/padt.m,
delsig/partitionABCD.m,
delsig/peakSNR.m,
delsig/PlotExampleSpectrum.m,
delsig/plotPZ.m,
delsig/plotSpectrum.m,
delsig/plotUsage.m,
delsig/PosInvSet/dotplot.m,
delsig/PosInvSet/dscut.m,
delsig/PosInvSet/dsexpand.m,
delsig/PosInvSet/dsisPlot.m,
delsig/PosInvSet/dsistest.m,
delsig/PosInvSet/dsmap.m,
delsig/PosInvSet/dssplit2d.m,
delsig/PosInvSet/edgeplot.m,
delsig/PosInvSet/find2dPIS.m,
delsig/PosInvSet/findPIS.m,
delsig/PosInvSet/hull2d.m,
delsig/PosInvSet/leftof.m,
delsig/PosInvSet/outconvex2d.m,
delsig/PosInvSet/outsideConvex.m,
delsig/PosInvSet/polyplot.m,
delsig/PosInvSet/qhull.m,
delsig/PosInvSet/qhull/COPYING.txt,
delsig/PosInvSet/qhull/geom.c,
delsig/PosInvSet/qhull/geom.h,
delsig/PosInvSet/qhull/geom2.c,
delsig/PosInvSet/qhull/global.c,
delsig/PosInvSet/qhull/io.c,
delsig/PosInvSet/qhull/io.h,
delsig/PosInvSet/qhull/Makefile,
delsig/PosInvSet/qhull/mem.c,
delsig/PosInvSet/qhull/mem.h,
delsig/PosInvSet/qhull/merge.c,
delsig/PosInvSet/qhull/merge.h,
delsig/PosInvSet/qhull/mex.c,
delsig/PosInvSet/qhull/MEXChanges.txt,
delsig/PosInvSet/qhull/poly.c,
delsig/PosInvSet/qhull/poly.h,
delsig/PosInvSet/qhull/poly2.c,
delsig/PosInvSet/qhull/qhull.c,
delsig/PosInvSet/qhull/qhull.h,
delsig/PosInvSet/qhull/qhull_a.h,
delsig/PosInvSet/qhull/set.c,
delsig/PosInvSet/qhull/set.h,
delsig/PosInvSet/qhull/stat.c,
delsig/PosInvSet/qhull/stat.h,
delsig/PosInvSet/qhull/unix.c,
delsig/PosInvSet/qhull/user.h,
delsig/PosInvSet/sgn.m,
delsig/PosInvSet/uvar.m,
delsig/predictSNR.m,
delsig/printmif.m,
delsig/pulse.m,
delsig/realizeNTF.m,
delsig/realizeNTF_ct.m,
delsig/realizeQNTF.m,
delsig/rms.m,
delsig/rmsGain.m,
delsig/scaleABCD.m,
delsig/selectQESL.m,
delsig/simulateDSM.c,
delsig/simulateDSM.m,
delsig/simulateESL.c,
delsig/simulateESL.m,
delsig/simulateHBF.m,
delsig/simulateQDSM.m,
delsig/simulateQESL.m,
delsig/simulateQSNR.m,
delsig/simulateSNR.m,
delsig/sinc_decimate.m,
delsig/SIunits.m,
delsig/stuffABCD.m,
delsig/synthesizeChebyshevNTF.m,
delsig/synthesizeNTF.m,
delsig/synthesizeNTF0.m,
delsig/synthesizeNTF1.m,
delsig/synthesizeQNTF.m,
delsig/thermometer.m,
delsig/undbm.m,
delsig/undbp.m,
delsig/undbv.m,
delsig/zinc.m,
license.txt

[June sh]

It's a well done work!
Thank u!

[Anas Hamoui]

Great work ... thank you.

[Paul Muller]

Very useful, not only for understanding, but also for system-level simulation for IC design

[Leo Montreuil]

Great tools for design Delta-Sigma modulator

[Gary Mai]

Excellent Work. It will be great help to design sigma-delta modulator, especially in system level.

[Mark Brunner]

It does what it should... thanks.

[Esmaeil Najafiaghdam]

 

[guillaume de cremoux]

Very good when modulator order greater than 3; otherwise the famous "0.5" coefficients do the same job. When very low OSR (<32), filter refinement does not flatten enough the NTF. Excellent tool at medium OSR, and high modulator order.

[Sumant Bapat]

Nice tool. Makes life of novice delta sigma designer easy

[Lin Chuck]

I need the synthesizeNTF and CLAN original document

[Mohammad Yavari]

Very useful tool to design high order single loop SD modulators
It will be nice if this toolbox is added in the next versions of MATLAB.

[kareem abdallah]

 

[Fakhs Huss]

 

[Naughty Boy]

Very good. But just failed to compile the simulateDSM.c under Linux Matlab 6.5, always says that the file is not normal or not existed. For Window Matlab, it is okay.

[Mehdi Banihashemi]

 

[OLL Tsai]

good!

[ken vin kuo]

no

[M. Praveen]

its good

[Acuti Yang]

 

[C. HO.]

Organization can be improved further.

[C. HO]

The calculateSNR.m is a good approximation, but might have problem when the number of points considered increased.

[z.z. dong]

The file firpm.m is missed when i run designHBF.m program in the matlab 6.5 R13 software. please give some suggestions if possible

[manu suryavansh]

i am not able to download

[Leon hong]

Can I use this toolbox to simulate digital D-S modulators in DAC?

[Zejian cai]

always error as following when run dsdemo6.m, who can tell me why? please
??? Undefined function or variable 'firpm'.

Error in ==> D:\st\delsig\designHBF.m (designF1)
On line 119 ==> h = firpm(2*n1-1,[0 4*fp1 1 1],[1 1 0 0]);

Error in ==> D:\st\delsig\designHBF.m
On line 42 ==> [f1 zetap phi] = designF1( delta, fp1 );

Error in ==> D:\st\delsig\dsdemo6.m
On line 19 ==> [f1,f2,info]=designHBF(fp,delta,1);

[Zejian cai]

>> H=clans(5,32,5,0.95,1)
??? Error: File: D:\st\delsig\clans6.m Line: 35 Column: 37
"identifier" expected, "(" found.

Error in ==> D:\st\delsig\clans.m
On line 19 ==> NTF=clans6(order,OSR,Q,rmax,opt);

I just do it as document says. what's wrong?

[Mucahit Kozak]

Excellent toolbox. Essential for the design of sigma delta modulators.

[jeffrey zhu]

excellent toolbox for sdm design, realizeNTF function for CIFF topology seems not correct though.

[jason Fong]

so smart one

[current mirror]

seems i do not get the same simulation results and SNR value as the book written by the author (page 264, 265); anyone got the same problem?

[David Kiriev]

RE: current mirror

Don't copy everything from the book. He was a professor at Oregon State U. when he created the toolbox -- Professors don't test their codes, the graduate students do.

He just took whatever results or claims that his student gave to him...You have to try testing every code by yourself since you're not a professor :)

David Kiriev

[Marshnil Dave]

I am trying to simulate a basic Boser and Wooley Sigma Delta modulator
in matlab. The SNR calculated using calculateSNR function of SDMtoolbox
doesn't give proper results and as STF of this B&W architecture is not
unity I am unable to simulate it using simulateSDM function of SDM
toolbox. I request you to guide me simulating second order B&W SDM in
matlab and predicting the SNR correctly.

[Marshnil Dave]

I am trying to simulate a basic Boser and Wooley Sigma Delta modulator
in matlab. The SNR calculated using calculateSNR function of SDMtoolbox
doesn't give proper results and as STF of this B&W architecture is not
unity I am unable to simulate it using simulateSDM function of SDM
toolbox. I request you to guide me simulating second order B&W SDM in
matlab and predicting the SNR correctly.

[mehmet ozcelik]

gaziantep university

[Jacob J]

I have a simply question, maybe somebody will be laughing:), but how to initialize this toolbox in matlab?What steps should I take to use Sigma Delta modulator?I only need to give as an input some signal (ex.sinus)and observe an output as a spectrum...Thanks for answer

[xin xn]

sigma-delta box

[noha zaki]

I have a simply question,like Jacob, how to initialize this toolbox in matlab?What steps should I take to use Sigma Delta modulator?I only need to give as an input some signal (ex.sinus)and observe an output as a spectrum...Thanks for answer

[Oscar Gaete]

Dear Richard,
thank you for your toolbox. It looks very impresive.
I have one questions:
if I sample 1 second audio with 8000 Khz I will get a variable with 8000 points(i.e. >>x=wavrecord(8000,8000);)
when I simulate the output of a delta sigma modulator (when the input is x) with OSR=64 the output signal has a length of 8000. Why is that?...shouldn't it be 512000 because of the oversampling?)
Thank you.

[mehrdad yadollahi]

fair

[mehrdad yadollahi]

it's good

[Wayne Huang]

Good! helpful.

[Bingxin Li]

 

[Song-Bok Kim]

I don't know yet how to use the Delta Sigma Toolbox. Firstly, I want to inform how to use
in Matlab simulink

[Song-Bok Kim]

Dear Richard Schreier. Thank you for your dela sigma toolbox. I want to know if by your toolbox it is possible to simulate Continuous-time quadrature bandpass sigma-delta modulator. And if possible, please tell me how to use. Next,I kow how to simulate the feedforward summing topology without input feedforward with which feed only first stage integrator.
I look forward your reply this week.

[Steven Lin]

 

[Doreen wang]

First,I use this tool to get the coefficients of a fifthe-order sigma delta modulater.And then I made a model in simulink with these coefficients.Then filter the modulated signal with a lowpass analog filter,I could not get the original signal.I found that the third order coefficients can get the perfect results in simulink.why?Thanks.

[melika roknsharifi]

Dear Richard Schreier
Thanks for your exellent book on delta sigma and this complete toolbox

[Jitendra Das]

 

[mopaditis Aeolus]

 

[Shimon Dahan]

Need more examples for designing SD structure include it's coefficients.

[Sushi Taro]

I like sushi very much.

[Jhoule Houke]

Thank you very much.

[Luiz Carlos]

 

[HUA Siliang]

Thank you for your toolbox. I am reading your book.

[Ramesh Singh]

 

[Senthil raja]

If zpk is properly modified, this software should be user friendly.

[Senthil raja]

If zpk is properly modified, this software should be user friendly.

[Yi WANG]

I have a problem of using function "realizeNTF", if I set the "stf" has the same poles as "ntf" and use it as the input for the fucntion. Matlab tell me that:
??? Error using ==> mrdivide
Matrix dimensions must agree.

Error in ==> realizeNTF at 327
    b = real(x/A);

Error in ==> Test_7755_NTF_Cap2 at 10
[a,g,b,c]=realizeNTF(ntf0,form,stf0);

[Yi WANG]

The matlab code is:

OSR=128; %over sampling rate

order =2; %the order of SDM

ntf0=synthesizeNTF(order,OSR,1); %create the optimized ntf.
stf0=ntf0; %copy the ntf to stf, so that they will have the same poles.
stf0.z=[]; %set the numerator of stf to 1.

form='CIFF';
[a,g,b,c]=realizeNTF(ntf0,form,stf0);

[preeti chauhan]

 

[shi huan dong]

excellent

[Sha Xia]

 

[Xiaodong Guo]

 

[swathi y]

 

[di li]

Thank you very much!!!

[Mareers Samuel]

Thanks for useful toolbox.Is it compatible with
matlab clones liek Scilab n Octave.If not wat are the modifications required??

[Aren aren00]

Very good!

[zhang dongqing]

It is very useful for the filter design, thanks

[zhang dongqing]

 

[shifei hu]

very useful?Thanks Very much!!

[Liu qiuliang]

very good!

[Xu YanFeng]

very good

[Lars Sundström]

A significant contribution to the mixed-signal community around the world.

[lu yan]

I doenloaded this toolbox,but now I have a question.when i run synthesizeNTF.m,an error always comes out in 209 line.Browsing a lots of forum ,I find that the question is very popular.I expect you give a way to the problem,thank you from my heart!looking forword to your letter!

[sandy sandy]

After u download how to u run the files.always error is occuring

[Quan]

Thanks for such a useful tool box. I have a question of SNR calculation.
In the tool box, the function, caltulateSNR,is used to approximate in-band signal power and noise power, and then SNR is calculated. the codes are as follows:
signalBins = [f-nsig+1:f+nsig+1];
signalBins = signalBins(signalBins>0);
signalBins = signalBins(signalBins<=length(hwfft));
s = norm(hwfft(signalBins)); % *4/(N*sqrt(3)) for true rms value;
noiseBins = 1:length(hwfft);
noiseBins(signalBins) = [];
n = norm(hwfft(noiseBins));
if n==0
snr = Inf;
else
snr = dbv(s/n);
end

My question is: Since the length of signal bins and noise bins are totally different, how can signal power and noise power be substituted by
s = norm(hwfft(signalBins)) and n = norm(hwfft(noiseBins)), respectively.
I think the signal power and noise power should be like s = norm(hwfft(signalBins))*(4/N*sqrt(length(signalBins))) and n = norm(hwfft(noiseBins))*(4/N*sqrt(length(noiseBins))), respectively.
May be I'm wrong. But i'm really confused.

[Quan]

it's my mistake. it's the total power in the signal bins to the total power in the noise bin.

[Ras123 V]

 

[Aztec Wei-Ting]

When I download this toolbox and run synthesizeNTF.m, an error always comes out at line 209 and column 22. Does any method to solve this problem? Thank you very much!

[Payam]

Dear Richard,

First of all many thanks for developing such a nice toolbox and authoring such a great book "Understanding Delta-Sigma Data Converters".
I am about to design a 4th order/10MHz BW/CT/Quadrature delta-sigma ADC.
Unfortunately, I couldn't find any function and demo regarding design and simulation of a complex filter in the delsig toolbox. I would be grateful if you inform me about any enhancement of this toolbox for designing complex DS ADCs.
Your time and consideration are appreciated in advance.

[zhang]

Who can tell me, in the book "Understanding Delta-Sigma Data Converters ", in page 265,

1. spec = fft(v)/(Nfft*(nLev-1)/2),
why (nLev-1)/2 should be counted in to the spectrum computation?

2. Sqq = 4 * (evalTF(H,exp(2*pi*f))/(nLev-1)).^2/3,
why does 4/3 mean in this equation?

Thanks a lot!

[Praveen Kumar]

Can I access the older versions of this toolbox. I am particularly interested in the old documentation.

[Vishal Saxena]

The delta-sigma toolbox by Dr Schreier is a mandatory tool for anyone serious about delta-sigma ADC design. The CT DSM extensions in the 2009 version look very useful and we will be evaluating them in a delta-sigma converter design course being taught at Boise State.
http://cmosedu.com/vsaxena/courses/ece697/s10/ECE697.htm

[Thierry Tambe]

Outstanding Work. Exceptionally helpful in the simulations of SNDR versus DAC jitter, thermal noise and THD.