Zero Crossing of Signal

Question

Syed Adeel 2020-4-11

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/517164-zero-crossing-of-signal

评论： Star Strider 2020-4-16

采纳的回答： Star Strider

在 MATLAB Online 中打开

Hello everyone.

I want to find the zero crossing of my Signals. I used below code but it works incorrectly.

%%%%%%%%%%%Time Domain DA3 %%%%%%%%%%%
da3=da2*tf3;
da3s=ilaplace(da3);
da3t=subs(da3s,{t},{time});
 //da3t is signal of which i need zero corssings
zci = @(v) find(v(:).*circshift(v(:), [-1 0]) <= 0); 
zx = zci(da3t); //to find zero crossings
close all
figure;
plot(time(zx), da3t(zx), 'bp')
plot(time*1e9,da3t ,'-k','LineWidth',2);
xlabel('Time - [ns]');ylabel('Amplitude - [V]');
title('DA Transient Output ');
hold on
grid on                   
 plot(time(zx), da3t(zx), 'bp')   // to plot zero crossing

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Answer 1

Star Strider 2020-4-11

2
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/517164-zero-crossing-of-signal#answer_425401

在 MATLAB Online 中打开

The ‘zci’ funciton works correctly, although the latest version of it is:

zci = @(v) find(v(:).*circshift(v(:), 1, 1) <= 0);                      % Returns Approximate Zero-Crossing Indices Of Argument Vector (>= R2016b)

to work with more recent MATLAB releases. Note that it returns the indices of the approximate zero-crossings. If you want the exact zero-croissings, you need to interpolate to find them.

I cannot run your code, so I cannot correct the errors.

22 个评论
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Syed Adeel 2020-4-11

编辑：Syed Adeel 2020-4-11

da3.txt

ahh Thankyou man. You are helping a helpless soul

Below are 4 points if that can help us. I have added a file including values of da3 and time

1:this is how i generate time axis

T=30/wu;

N=100;

time=1:1:N;

time=T*time/N;

2: syms t;

3: According to my teacher all i need is is to eliminate commas from equations to run it on 2019 and 20.

For example, in cspreamp model:

eq1='vout/rl+Gm1*vgs1+(vout-vgs1)/rf+s*cf*(vout-vgs1)=0';

eq2='-iin+(vout-vgs1)/rf+(vs6-vgs1)/r1+s*cf*(vout-vgs1)-s*capd*vgs1=0';

eq3='vs6=vout';

tf=solve(eq1,eq2,eq3,'vout,vgs1,vs6');

should be replaced with:

eq1=vout/rl+Gm1*vgs1+(vout-vgs1)/rf+s*cf*(vout-vgs1);

eq2=-iin+(vout-vgs1)/rf+(vs6-vgs1)/r1+s*cf*(vout-vgs1)-s*capd*vgs1;

eq3=vs6-vout

4: Below is my output of da3t and time if that is helpful. these values are also pasted in attached file

: da3=(106289905305526056831249415419639792655412670003175287055805123569562772147400151624883722626449841025520148270232260936103940035444151515360645311584385418261902226705387364684375*exp(-33533299520262933860288/2570478523955605107421875))/12663115219741558870562425116468432145732081027304379562478971527401549753743705612852284494925532384253072879897556573897844356883399886998263008787090541079200916803701715238912 - (689608970073799193821765353599374235750192592643403788055578976988650534520163692375362766220094578812702410668801521841786068526189613415781468634866291586530322333467684625*exp(-12574987320098600197608/10021172917869232421875))/89942502082429531531947759188060427990573615741769725242671291445954092962926065201419188012161102728878993190378227126742809247062922608246784 + (3457925511789976069573915117423271177046142569914138221750100266171307030115201580906729113058026018853526173565447995424028386379285698853383552301926144004760094991891616078837471359276092890361553997026570672178197978117676343054830192360239839897473604088999785171807857604785399736228973933024081461121821973657085896095281422139206688027785858934413895759044804608*exp(-1242735190751782477085997082786623237/990352031428304219919299379200000000))/451001199290914913825731079127324853274847412237208384647460878112681695403022363575728951518926323153369767926841738796321429162171894162217873300117775549082067578492479309553479206595738859481408800138319154688035090005638842543878334369546731810351508316935521139810758984140233477764477543075385432005855694503625430882612693734295125 - 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(3147246997673512275721324462629014129926488618141331681607313138808401307593683142376526632418591812819244419117665464358481219369498554285814331466480203413583206069113717287470203037165553852519971843603515625*exp(-8764706629547187958135963102716117957118693503649784391/8351155443916256526298641104680208908931599956542968750)*(cosh((42460820918830791945081*76858149150051490980345126256216363917759933852084073919918845849^(1/2))/41755777219581282631493205523401044544657999782714843750) + (892912614916371512522271499296538112465521508330316566636431755943197128867012734061932487507091237633064112002867063870409246293906209873415561808633780882315757245*76858149150051490980345126256216363917759933852084073919918845849^(1/2)*sinh((42460820918830791945081*76858149150051490980345126256216363917759933852084073919918845849^(1/2))/41755777219581282631493205523401044544657999782714843750))/41653954668748031364845946550183016518412197682130800450179202248147473075544350326373734792068115542566017427277747589706948289418146102097654479159900201242899769730208372770303442411518769359247))/94125754033335249862247430006154205644589318805981911276369850224678865938056364993582585301837764359792975172626267083957381237755539431545559910206043235622096330702569161058893243685492032955525056435247382528 - 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Output truncated. Text exceeds maximum line length of 25,000 characters for Command Window display.

2.33142857142857e-09 4.66285714285714e-09 6.99428571428572e-09 9.32571428571429e-09 1.16571428571429e-08 1.39885714285714e-08 1.63200000000000e-08 1.86514285714286e-08 2.09828571428571e-08 2.33142857142857e-08 2.56457142857143e-08 2.79771428571429e-08 3.03085714285714e-08 3.26400000000000e-08 3.49714285714286e-08 3.73028571428571e-08 3.96342857142857e-08 4.19657142857143e-08 4.42971428571429e-08 4.66285714285714e-08 4.89600000000000e-08 5.12914285714286e-08 5.36228571428572e-08 5.59542857142857e-08 5.82857142857143e-08 6.06171428571429e-08 6.29485714285714e-08 6.52800000000000e-08 6.76114285714286e-08 6.99428571428572e-08 7.22742857142857e-08 7.46057142857143e-08 7.69371428571429e-08 7.92685714285715e-08 8.16000000000000e-08 8.39314285714286e-08 8.62628571428572e-08 8.85942857142857e-08 9.09257142857143e-08 9.32571428571429e-08 9.55885714285715e-08 9.79200000000000e-08 1.00251428571429e-07 1.02582857142857e-07 1.04914285714286e-07 1.07245714285714e-07 1.09577142857143e-07 1.11908571428571e-07 1.14240000000000e-07 1.16571428571429e-07 1.18902857142857e-07 1.21234285714286e-07 1.23565714285714e-07 1.25897142857143e-07 1.28228571428571e-07 1.30560000000000e-07 1.32891428571429e-07 1.35222857142857e-07 1.37554285714286e-07 1.39885714285714e-07 1.42217142857143e-07 1.44548571428571e-07 1.46880000000000e-07 1.49211428571429e-07 1.51542857142857e-07 1.53874285714286e-07 1.56205714285714e-07 1.58537142857143e-07 1.60868571428571e-07 1.63200000000000e-07 1.65531428571429e-07 1.67862857142857e-07 1.70194285714286e-07 1.72525714285714e-07 1.74857142857143e-07 1.77188571428571e-07 1.79520000000000e-07 1.81851428571429e-07 1.84182857142857e-07 1.86514285714286e-07 1.88845714285714e-07 1.91177142857143e-07 1.93508571428571e-07 1.95840000000000e-07 1.98171428571429e-07 2.00502857142857e-07 2.02834285714286e-07 2.05165714285714e-07 2.07497142857143e-07 2.09828571428571e-07 2.12160000000000e-07 2.14491428571429e-07 2.16822857142857e-07 2.19154285714286e-07 2.21485714285714e-07 2.23817142857143e-07 2.26148571428571e-07 2.28480000000000e-07 2.30811428571429e-07 2.33142857142857e-07

0.2261 0.2285 0.2308 0.2331

Syed Adeel 2020-4-11

Rf=40e3; Cf=680e-15;

R2=16e3;

R1=16e3;

wu=1/((R1*Rf/(R1+Rf))*Cf)

syms t;

T=30/wu;

N=100;

time=1:1:N;

time=T*time/N;

Q=5e-15;

QTIME=4e-9; % Max 11ns

I=Q/QTIME;

to1=1e-9;

to2=to1+QTIME;

x1s=(exp(-s*to1))*1/s-(exp(-s*to2))*(1/s);

I=Q/QTIME;

ip=I*x1s;

%%%%%%%%%%%%%%%%%%%%%%%%%Time Domain DA1-DA3 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

syms gda1 t1da1;

tf_da1=gda1/(1+s*t1da1);

tf=subs(tf_da1,{gda1,t1da1},{R2da1/R1da1,tau1da1});

pretty(tf);

%%%%% DA2 Transfer Function %%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

syms r1da2 r2da2 c1da2;

tf_da2=(r2da2/r1da2)*(1+s*c1da2*2*r1da2)/(1+s*c1da2*r1da2);

tf_da2=tf_da2./(1+s/(2*pi*150e6));

tf2=subs(tf_da2,{r1da2,r2da2,c1da2},{R1da2,R2da2,C1da2});

pretty(tf2);

%%%%% DA3 Transfer Function %%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

syms r1da3 r2da3 c1da3;

tf_da3=s*c1da3*r2da3/(1+s*c1da3*r1da3);

tf_da3=0.1+tf_da3./(1+s/(2*pi*150e6));

tf3=subs(tf_da3,{r1da3,r2da3,c1da3},{R1da3,R2da3,C1da3});

pretty(tf3);

%%%%%%%%%%%Time Domain DA1 %%%%%%%%%%%

da1=ip*tf;

da11=ilaplace(da1);

da1t=subs(da11,{t},{time});

%%%%%%%%%%%Time Domain DA2 %%%%%%%%%%%

da2=da1*tf2;

da2s=ilaplace(da2);

da2t=subs(da2s,{t},{time});

%%%%%%%%%%%Time Domain DA3 %%%%%%%%%%%

da3=da2*tf3;

da3s = ilaplace (da3);

da3t = subs (da3s, {t}, {time});

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

close all

figure;

plot(time*1e9,da3t ,'-k','LineWidth',2); % Zero crossing for DA3

xlabel('Time - [ns]');ylabel('Amplitude - [V]');

title('DA Transient Output ');

hold on

grid on

Syed Adeel 2020-4-12

编辑：Syed Adeel 2020-4-12

You are right My mind got dumb on this problem since morning. my apology boss. I just reconfirmed and its working, i correctd and have attached the output Graph attached.

Rf = 40e3; Cf = 680e-15;

R2 = 16e3;

R1 = 16e3;

wu = 1 / ((R1 * Rf / (R1 + Rf)) * Cf);

R1da1=1.35e3/2; %CHANGE FROM PAPER e3/2

R2da1=6.26e3/2;

fda1lp=150e6;%changed from 6 to 5

tau1da1=1/(2*pi*fda1lp);

%%% DA2 Parameters %%% %%%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%%

R1da2=2.43e3/2;

R2da2=6.26e3/2;

C1da2=84e-12;

%%% DA3 Parameters %%% %%%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%% %%%

R1da3=2.45e3/2;

R2da3=9.77e3/2;

C1da3=92e-12;

T = 30 / wu;

N = 100;

time = 1: 1: N;

time=T*time/N;

Q = 5e-15;

QTIME = 4e-9; % Max 11ns

I= Q / QTIME;

to1=1e-9;

to2=to1+QTIME;

syms s;

X1s = (exp (-s * to1)) * 1 / s- (exp (-s * to2)) * (1 / s);

I = Q / QTIME;

ip = I * X1s;

%%%%%%%%%%%%%%%%%%%%%%%%% Time Domain DA1-DA3 %%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%

syms gda1 t1da1 ;

tf_da1 = gda1 / (1 + s * t1da1);

tf = subs (tf_da1, {gda1, t1da1}, {R2da1 / R1da1, tau1da1});

pretty (tf);

%%%%% DA2 Transfer Function %%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%

syms r1da2 r2da2 c1da2;

tf_da2=(r2da2/r1da2)*(1+s*c1da2*2*r1da2)/(1+s*c1da2*r1da2);

tf_da2=tf_da2./(1+s/(2*pi*150e6));

tf2=subs(tf_da2,{r1da2,r2da2,c1da2},{R1da2,R2da2,C1da2});

pretty(tf2);

syms r1da3 r2da3 c1da3;

tf_da3=s*c1da3*r2da3/(1+s*c1da3*r1da3);

tf_da3=0.1+tf_da3./(1+s/(2*pi*150e6));

tf3=subs(tf_da3,{r1da3,r2da3,c1da3},{R1da3,R2da3,C1da3});

pretty(tf3);

%%%%%%%%%%% Time Domain DA1 %%%%%%%%%%%

syms t ;

da1 = ip * tf;

DA11 = ilaplace (da1);

da1t = subs (DA11, {t}, {time});

%%%%%%%%%%% Time Domain DA2 %%%%%%%%%%%

da2 = da1 * tf2;

da2s = ilaplace (da2);

da2t = subs (da2s, {t}, {time});

%%%%%%%%%%% Time Domain DA3 %%%%%%%%%%%

da3 = da2 * tf3;

da3s = ilaplace (da3);

da3t = subs (da3s, {t}, {time}); % zerocrossing for this signal

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%

close all

figure;

plot (time * 1e9, da3t, '-k' , 'LineWidth' , 2);

xlabel ( 'Time - [ns]' ); ylabel ( 'Amplitude - [V]' );

title ( 'DA Transient Output' );

hold on

grid on

legend ( 'DA1' , 'DA2' , 'DA3' );

Syed Adeel 2020-4-12

编辑：Syed Adeel 2020-4-12

Its strange may be cecause of different models.Its working all perfect on my side.

anyways I am pasting da3 data which you asked earlier. you have time axis already right?

[ 0.00052492902895834518442473071775418, 0.029707601693261764684865438123012, 0.13035159519267053478088851505357, 0.24002048613488675467005864923271, 0.28832037664013864636336015907804, 0.28010744873600159263268293649611, 0.24167414402381481684539895527846, 0.19282894835094996379131961172033, 0.14445259703982544599191556034087, 0.10148681259108762074291644332478, 0.06557667204980987550529802498128, 0.03671284690180695510323536858459, 0.014151860784342023569727540756914, -0.0030971623846901892450120668400894, -0.016031037035416823010544849972469, -0.025545097453682728519499836610548, -0.032396297173260391680480864031008, -0.037201336857913150247984325265111, -0.040450471821815229699940852837794, -0.042526809805621522298633644608916, -0.043726022195311260496157740715343, -0.044274181491197231168480543130051, -0.044342909530830175632447876683159, -0.044061756566939165690663487199463, -0.04352806478475898936144747573041, -0.042814690792706284162673861869497, -0.041975976007834339736312728774132, -0.041052319641560078590882576729299, -0.040073656861324153531542389067994, -0.039062090094352847140654296222965, -0.038033871431447883771330271390009, -0.03700089133158659767904415941194, -0.035971793736858363454020155615465, -0.034952809665470354636309909704616, -0.033948379350299452874396758503254, -0.03296161595592350041230215174671, -0.031994650844637862777304572575085, -0.031048890418060953117201374319177, -0.030125207032903225019305747074325, -0.029224080814690027533017306725901, -0.028345704929651410394213647308712, -0.027490063680005835828683987702569, -0.026656990398541612101539145570876, -0.025846210334469084048822679350684, -0.025057372392294026348500600592329, -0.024290072594568303941772056083609, -0.023543871401846322291901451711195, -0.022818306474587271816039644976039, -0.022112902053902042203490860674789, -0.021427175834965847687541689498909, -0.020760643981766535032289855290677, -0.020112824764643109188924503139317, -0.019483241177907363795567416652393, -0.018871422802664970117350814135642, -0.018276907111530595223095322290723, -0.017699240361148502714516819077984, -0.017137978180742592985358774831358, -0.016592685936952725933482838637529, -0.016062938934461939989387737154504, -0.015548322496521555921418895302825, -0.015048431958057184252030837270063, -0.01456287259556333000325379091601, -0.014091259511706679880018943222857, -0.013633217487894516611286948190629, -0.013188380814604934966898738128525, -0.012756393106710164733524132873166, -0.01233690710912130366070648886937, -0.011929584496672390247773103879605, -0.011534095671115545616661697167191, -0.011150119557324351826144911479972, -0.010777343400227982210166260432171, -0.010415462563573762764862356315984, -0.010064180331300971028725411661537, -0.0097232077120759900701867801813873, -0.0093922632473672005465328448865389, -0.0090710728233108825468787199787957, -0.0087593694865263771516263348573503, -0.0084568932639698943208427452017985, -0.0081633909868662309628449031259329, -0.007878616118721156857530207651716, -0.0076023285873905215990694224566519, -0.0073342946211633247954676850758244, -0.0070742865888021983051229190020912, -0.0068220828434756031101911031631563, -0.0065774675705093990644158108968698, -0.0063402306388813196275319403968733, -0.0061101674563794155931078155514166, -0.0058870788283439649506269309580092, -0.0056707708199121095192656790271042, -0.0054610546216844426899170149417627, -0.0052577464187334531988320769354215, -0.0050606672628747411029409037364957, -0.0048696429481229700135722267181662, -0.004684503889256024770776771300699, -0.0045050850034121062746820052612318, -0.0043312255946462170630036227105962, -0.0041627692413738985913171902182268, -0.0039995636866317144571893307864772, -0.0038414607310856118288802072863864, -0.0036883161287197704465273556573539]

Syed Adeel 2020-4-15

Yea, you mentioned and I really appreciate that but when i try to read its value it gives NaN though it shows correct on Figure.

May be I am reading it wrong way

Star Strider 2020-4-16

在 MATLAB Online 中打开

It shows NaN because it is trying to extrapolate, although I am not certain what the reason is for that.

One solution for that is to let it extrapolate, and see what it returns:

t_exact(k) = interp1(da3td(idx(k))+[-1 +1]*1E-5, time(idx(k))*1E9+[-1 +1], 0, 'linear','extrap');

That should solve the extrapolation problem.

Another option (if the data permit it, so that it does not reference indices beyond the vector limits) is:

t_exact(k) = interp1(da3td(idx(k)+[-1 +1])*1E-5, time(idx(k)+[-1 +1])*1E9, 0);

If that needs to extrapolate, add those arguments.

请先登录，再进行评论。

Answer 2

Image Analyst 2020-4-11

0
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/517164-zero-crossing-of-signal#answer_425400

在 MATLAB Online 中打开

Did you try to use find() to find out the first index where da3t goes negative?

firstNegIndex = find(da3t <= 0, 1, 'first')
firstNegTime = time(firstNegIndex)

By the way, time is a built-in function so you should not use that as the name of your variable.

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Image Analyst 2020-4-12

It only crosses once. Once it's crossed, the values are now below the x axis. So you'll only have one crossing per signal, or possibly more if it later goes from below to above the axis. But you won't have 3 consecutive points where there is a crossing unless the signal has a value of 0 for 3 elements consecutively, which your signals don't do.

Syed Adeel 2020-4-15

Thankyou so much for your reply. Your option gives me accrate first zero crossing. Now as I have 3 zero corssings can you please tell me how to extend your method?

Thankyou

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Zero Crossing of Signal

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