How to compute the RMS of a signal using Matlab ?

[casio]

Does anyone know how to compute the RMS of a signal using matlab ?

I've tried this but it doesn't seem to work...

y=rms(ecgf, 30, 10, 1)

It comes up with the following error

??? Undefined function or method 'rms' for input arguments of type 'double'.

 

[hobgoblin]

Re: RMS using matlab

y = sqrt(sum(u.*conj(u))/size(u,1))

 

[petejonze]

Re: RMS using matlab

hobgoblin gives: sqrt(sum(Power Spectral Density))

In my (limited) understanding, this is of course only true if you already have the signal in the frequency domain (e.g. u = fft(x))

I believe that in the time domain (e.g. x = sin(2 * pi * 100 * (1:n) / Fs) the RMS would be found using: sqrt(mean(x.^2))

Parseval's theorem (??) suggests that these two values should be equal.

Anybody - do please correct me if any of that is incorrect! =)

 

[JoannesPaulus]

RMS using matlab

Why not just:

std(x)

 

[wael.elshennawy]

Re: RMS using matlab

Try this one

rms=sqrt(var());

 

[permute]

RMS using matlab

likely a reference to https://www.mathworks.com/matlabcentral/fileexchange/11871-signal-rms

This is an addon for matlab -- that website offers free, user-generated code. You would need to have rms.m in your path (eg, the working directory).

overall, there are plenty of ways to calculate the single RMS value. the function listed is a bit more advanced -- it calculates the RMS value of short windows of the input. the idea is to get an (estimated) envelope of the signal over time.

 

[petejonze]

Re: RMS using matlab

Why not just:

std(x)

Good question. Because they aren't the same?(?) Standard deviation gives the RMS of a signal's variation about the mean, rather than about 0. (Though for some signals - such as an infinitely long sine wave - this will be the same thing).

 

[rhearty1]

I agree with what Pete Jonze says:

rms_x = sqrt(mean(x.^2));

 

[enjunear]

RMS = Root-Mean-Square, square root of the mean or the square of the values.

Pete Jonze's has it right, sqrt(mean(x.^2));

 

[alvinsam]

I have an urgent query please do help me...I am only a beginner in MATLAB...I have a signal that has fs=1000. Its an ECG signal and has 80 leads. I have to calculate the RMS of it. When I used the code stated above MATLAB says that Subscript indices must either be real positive integers or logicals..Eagerly waiting for any reply. The factors presented below will give an idea of the Signal. please do help

Sample Start Boundary : 0 ms
Sample End Boundary : 10000 ms
Sample Rate : 1000 samples/sec
Sample Units : millimeters
Sample Gain : 10mm/mV

QRS Onset : 0 ms
QRS Offset : 50 ms
T Offset : 200 ms

Number Of LQ Channels : 16
LQ Channels : 28 29 30 40 53 54 57 58 59 60 62 65 66 70 72 75

Number Of Channels : 80
Samples Per Channel : 10000
Samples Filtered ? : No

 

[enjunear]

I have an urgent query please do help me...I am only a beginner in MATLAB...I have a signal that has fs=1000. Its an ECG signal and has 80 leads. I have to calculate the RMS of it. When I used the code stated above MATLAB says that Subscript indices must either be real positive integers or logicals..Eagerly waiting for any reply. The factors presented below will give an idea of the Signal. please do help

Sample Start Boundary : 0 ms
Sample End Boundary : 10000 ms
Sample Rate : 1000 samples/sec
Sample Units : millimeters
Sample Gain : 10mm/mV

QRS Onset : 0 ms
QRS Offset : 50 ms
T Offset : 200 ms

Number Of LQ Channels : 16
LQ Channels : 28 29 30 40 53 54 57 58 59 60 62 65 66 70 72 75

Number Of Channels : 80
Samples Per Channel : 10000
Samples Filtered ? : No

I think this has less to do with your data, and more to do with your code. Please post your matlab code, so we can look at it.

As an initial guess, I think the root of your problem may be that you are using "Start Boundary" at 0 ms. IIRC, Matlab vector/array index values start at 1, not 0. Just a thought for something to look at.

P.S. When all else fails, make a small test case to test out the function....
say foo = [1 2 3 4 5 6 7 8 9 8 7 6 5 4 3 2 1];
RMS = sqrt(mean(foo.^2))
RMS should be ~5.36
sqrt ( (1^2 + 2^2 + 3^2 + 4^2 +........) / 17)... put in into your calculator to verify.

 

[alvinsam]

Thanks for the reply..I am using the code sqrt(mean(Signal.^2)) where Signal is my data..But I am getting the response Subscript values must be positive or real values..Please do help me out. From the total signal I am taking a region of interest with the code Y=Signal(1500:2000)..Is this right please...And could you please tell me if there is any way i could mail you the codes and my problem..Its the last days for completion of my project and I really hope you could help me..Awaiting your earliest reply...

 

[enjunear]

Thanks for the reply..I am using the code sqrt(mean(Signal.^2)) where Signal is my data..But I am getting the response Subscript values must be positive or real values..Please do help me out. From the total signal I am taking a region of interest with the code Y=Signal(1500:2000)..Is this right please...And could you please tell me if there is any way i could mail you the codes and my problem..Its the last days for completion of my project and I really hope you could help me..Awaiting your earliest reply...

It's called copy and paste. Open Matlab, highlight your code (then edit, copy). In the compose message box, paste the code and surround it with CODE tags... like this.

[.CODE]
foo = [1 2 3 4 5];
foo = foo + 1;
[./CODE]

(without the periods) will give you...

foo = [1 2 3 4 5];
foo = foo + 1;

---------- Post added at 17:51 ---------- Previous post was at 17:39 ----------

Just tried this little program, and it works just fine.

t = linspace(0, (2*pi)-(2*pi/101), 101);
y = sin(t);
plot(t,y)
sqrt(mean(y.^2))

ans =

    0.7071

RMS of a sinewave is 1/sqrt(2) = 0.7071.

 

[alvinsam]

Thanks for the reply. Please do check the codes below


For importing the data I used the following code
[.CODE]
fmt_str='%f32%f32%f32%f32%f32%f32%f32%f32%f32%f32';
fid=fopen('C:\Documents and Settings\labview\My Documents\Alvin data\Normal_173\Arranged Normal\Good\P0006_011030_113747_890.txt','rt');
data=cell(1,80);
data{1}=textscan(fid, fmt_str,1000,'headerLines',29);
for i=2:80;
data{i}=textscan(fid,fmt_str,1000,'headerLines',3);
end
fclose(fid);
Channel{28}=cell2mat(data{28});
Channel_28=reshape(Channel{28}',size(Channel{28},1)*size(Channel{28},2),1);
[./CODE]

Now to take the section of interest from the ECG wave and also to only obtain points of R wave i used the code. The RMS also was tried to be calculated
[.CODE]
Channel_28_max=max(Channel_28);
threshold=60/100*(Channel_28_max);
ind=Channel_28>threshold;
trial=Channel_28(2300:3700);
multiplied=Channel_28.*Channel_28;
squared=sqrt(multiplied);
Channel_28dcr=squared-mean(squared);
squared=squared/max(abs(squared));
[./CODE]

But I am getting the error message ~Subscript indices must either be real positive integers or logicals~
Even for the simple program that you had put I am getting the same error.

Please do suggest something. I am attaching a file also along. And could you please help me in finding the midpoints of the R wave in the signal.
Also could you suggest a simple Do Loop program that assumes a variable 'b' as maximum and checks points after the r wave of ECG and if the next points is greater then stores that point as b and returns that output. The maximum should be checked between two r peaks.
Thanks in advance and I know its a lot of work but the problem is I tried a lot and I am not very expert in MATLAB and this is my last week for completion of project. Any help would be appreciated. My mail id is alvinveppenath@gmail.com. Please do send suggestionsView attachment P0006_011204_084835_696.TXTView attachment P0006_011204_084835_696.TXT

 

[JoannesPaulus]

The problem is the curl bracket. Matlab adresses the vector/array elements using parenthesis. Here is the code:

fmt_str='%f32%f32%f32%f32%f32%f32%f32%f32%f32%f32' ;
fid=fopen('C:\Documents and Settings\labview\My Documents\Alvin data\Normal_173\Arranged Normal\Good\P0006_011030_113747_890.txt','rt');
data=cell(1,80);
data(1)=textscan(fid, fmt_str,1000,'headerLines',29);
for i=2:80;
data(i)=textscan(fid,fmt_str,1000,'headerLines',3) ;
end
fclose(fid);
Channel(28)=cell2mat(data(28));
Channel_28=reshape(Channel(28)',size(Channel(28),1 )*size(Channel(28),2),1);

Channel_28_max=max(Channel_28);
threshold=60/100*(Channel_28_max);
ind=Channel_28>threshold;
trial=Channel_28(2300:3700);
multiplied=Channel_28.*Channel_28;
squared=sqrt(multiplied);
Channel_28dcr=squared-mean(squared);
squared=squared/max(abs(squared));

For the rest of the code, you should consider a "while" loop...

 

[alvinsam]

Thanks for the reply. Could you please suggest me the code for the while loop for getting the midpoint between two r peaks and also obtaining the maximum value between two waves.If i can put one of the points as c=trial(1500) please help me with the code for creating a while loop that can help me get the maximum points between the peaks. Please do help

 

[enjunear]

Repeatedly execute statements while condition is true - MATLAB

Read up on the above article to figure out how to use the while function.

I'm not sure what your data looks like, and how you'd go about finding these two "waves". You have to explain the problem more thoroughly, since we on the forum have no idea what your project is about, what your datasets commonly look like, or what you are trying to extract from them.

 

[alvinsam]

Sorry..My data looks like two ECG waves..If we consider the waves as two sine waves and want to calculate the midpoint between the sine waves could you please tell me how I can do it. I have imported the signal in and can see them on my screen the code for obtaining the midpoint is what I am not aware of..The while loop I have to use to compute the maximum point next to the ECG wave and am using the formula
CODE-
c=y(250) %considering c as the initial point
d=y(1250); % considering d as the end point
out=c+1
1)if out<c
2)out=c+1
3)go to 1
4)while out>d
5)end
6)end
7)a=max(out)

Thsi returns me the maximum output of wave between the selected points wrt to y axis..Could you please suggest me a method to find the corresponding point in x-axis.
Also please do help me with the RMS value that I have to consider in between points c and d from the above. I know a do or while loop will do it for me but I have to find the midpoints between two r peaks first. The code and a set of data is presented below. Please do help.

Code- (For importing data)
fmt_str='%f32%f32%f32%f32%f32%f32%f32%f32%f32%f32';
fid=fopen('C:\Documents and Settings\labview\My Documents\Alvin data\Normal_173\Arranged Normal\Good\P0006_011030_113747_890.txt','rt');
data=cell(1,80);
data{1}=textscan(fid, fmt_str,1000,'headerLines',29);
for i=2:80;
data{i}=textscan(fid,fmt_str,1000,'headerLines',3);
end
fclose(fid);
Channel{33}=cell2mat(data{33});
Channel_33=reshape(Channel{33}',size(Channel{33},1)*size(Channel{33},2),1);

Code for getting the R waves
fs=1000;
fn=fs/2;
w0=25;
w0=w0*pi/fn;
bandwidth=5;
b=bandwidth*pi/fn;
k1=cos(w0);k2=(1-tan(b-2))/(1+tan(b/2));
b=[1+k2 2*k1*(1+k2) 1+k2];
a=[2 2*k1*(1+k2) 2*k2];
Channel_31_filter=filter(b,a,Channel_31);
Channel_31=Channel_31.*Channel_31;
Channel_31=sqrt(Channel_31);
plot(Channel_31)
Channel_31_max=max(Channel_31);
plot(Channel_31_max)
threshold=60/100*(Channel_31_max);
ind=Channel_31>threshold;
plot(ind)
y=Channel_31(1000:3000);

The data is in a text file and I am also adding a single channel please do check

Channel 31
-1.0681 -0.8057 -0.6348 -0.5615 -0.6897 -1.0315 -1.3611 -1.8372 -2.2401 -2.6002
-2.8444 -3.0214 -3.1618 -3.1923 -3.0946 -2.8383 -2.5758 -2.1424 -1.6846 -1.3245
-1.0010 -0.7141 -0.5310 -0.4577 -0.4516 -0.6225 -0.8301 -1.2085 -1.5198 -1.8616
-2.1424 -2.4659 -2.7589 -2.9970 -3.0336 -2.8261 -2.4964 -2.0020 -1.5442 -1.2512
-1.0925 -0.9216 -0.7141 -0.5615 -0.5859 -0.7263 -0.9705 -1.3611 -1.7335 -2.1546
-2.4537 -2.6673 -2.7284 -2.6857 -2.5209 -2.2950 -2.0753 -1.6968 -1.3184 -1.0010
-0.7141 -0.4394 -0.2868 -0.2502 -0.3845 -0.7019 -1.0742 -1.5931 -1.9593 -2.3072
-2.5392 -2.7406 -2.7711 -2.6673 -2.4171 -2.0814 -1.7762 -1.2940 -0.7690 -0.3418
-0.0549 0.14649 0.23194 0.18311 0.01831 -0.3174 -0.6775 -1.1597 -1.5625 -1.8983
-2.0631 -2.1424 -2.0997 -1.9959 -1.9105 -1.8616 -1.7396 -1.4344 -1.0681 -0.8484
-0.7080 -0.5554 -0.4211 -0.4028 -0.5127 -0.7324 -1.0254 -1.4832 -1.9044 -2.2767
-2.5025 -2.6307 -2.7101 -2.7223 -2.6002 -2.3133 -1.9715 -1.5259 -1.1109 -0.8057
-0.5859 -0.2990 -0.0915 0.00000 -0.0854 -0.3418 -0.6409 -1.1048 -1.5809 -2.0753
-2.3622 -2.5880 -2.7162 -2.8199 -2.7406 -2.4476 -2.1119 -1.6602 -1.1780 -0.8667
-0.6531 -0.3906 -0.2990 -0.3112 -0.4394 -0.7690 -1.1597 -1.7274 -2.2401 -2.7284
-3.0458 -3.2533 -3.3571 -3.3754 -3.2838 -3.0580 -2.7833 -2.3561 -1.9959 -1.7090
-1.4283 -1.1780 -1.0010 -0.9033 -0.8545 -1.1109 -1.4832 -2.0386 -2.4537 -2.9054
-3.2289 -3.5951 -3.8027 -3.7660 -3.6684 -3.4364 -3.1801 -2.7650 -2.2523 -1.8372
-1.5686 -1.3245 -1.1353 -1.0437 -1.0620 -1.2879 -1.5870 -2.0386 -2.5148 -2.9420
-3.2289 -3.5097 -3.6684 -3.7294 -3.6440 -3.4425 -3.2106 -2.7955 -2.3133 -1.8983
-1.5503 -1.2390 -1.0010 -0.9583 -1.1292 -1.4161 -1.7212 -2.1974 -2.6612 -3.1190
-3.4059 -3.6073 -3.6684 -3.6501 -3.4853 -3.2167 -2.9786 -2.6185 -2.2767 -1.9959
-1.7335 -1.4405 -1.1536 -0.9155 -0.9399 -1.1780 -1.5381 -2.0692 -2.5880 -3.1435
-3.5768 -3.8027 -3.8271 -3.7844 -3.6562 -3.3815 -3.0458 -2.6307 -2.1607 -1.7762
-1.4161 -1.1170 -1.0376 -1.1475 -1.4222 -1.7457 -2.0142 -2.4110 -2.7711 -3.1740
-3.4425 -3.6318 -3.6501 -3.6379 -3.6440 -3.4853 -3.2777 -2.8993 -2.5086 -2.1180
-1.8067 -1.5015 -1.2818 -1.1414 -1.1719 -1.3611 -1.6358 -2.2218 -2.7345 -3.0702
-3.2350 -3.3937 -3.4486 -3.4486 -3.2961 -3.0153 -2.9115 -2.8627 -2.6796 -2.4903
-2.3072 -2.1241 -1.9410 -1.8616 -1.8555 -1.9471 -2.0509 -2.3622 -2.8261 -3.2777
-3.6012 -3.8393 -3.9980 -4.0407 -3.9248 -3.6623 -3.3632 -2.8749 -2.3927 -2.0142
-1.7335 -1.4832 -1.2635 -1.2146 -1.3062 -1.5503 -1.8555 -2.3744 -2.8444 -3.2655
-3.5402 -3.8149 -4.0468 -4.1628 -4.1445 -3.9858 -3.7477 -3.3083 -2.8261 -2.3866
-2.0203 -1.6907 -1.4405 -1.2757 -1.2818 -1.5625 -1.9532 -2.5270 -3.0336 -3.5097
-3.8088 -3.9248 -3.9797 -3.9675 -3.9492 -3.7660 -3.3876 -2.8688 -2.2340 -1.6907
-1.3123 -1.0254 -0.8850 -0.9705 -1.2757 -1.8128 -2.3561 -3.0580 -3.6867 -4.1872
-4.4680 -4.6206 -4.7060 -4.7488 -4.7122 -4.5535 -4.3032 -3.8454 -3.3571 -3.0031
-2.6918 -2.3194 -2.0814 -1.9349 -1.9593 -2.0753 -2.2035 -2.6185 -3.0641 -3.4914
-3.8881 -4.3032 -4.5473 -4.5473 -4.3947 -4.0651 -3.7294 -3.2899 -2.7955 -2.3988
-2.0448 -1.7762 -1.8067 -2.0203 -2.2645 -2.5880 -2.8566 -3.2350 -3.6745 -4.1567
-4.5290 -4.8770 -5.1150 -5.2554 -5.2859 -5.1150 -4.8892 -4.4497 -3.9614 -3.5463
-3.2411 -3.0092 -2.8505 -2.8566 -3.0275 -3.2716 -3.5036 -3.9675 -4.4619 -4.9868
-5.2798 -5.4202 -5.4019 -5.3470 -5.2005 -4.9380 -4.6694 -4.2360 -3.7783 -3.4792
-3.2228 -2.9725 -2.7406 -2.6002 -2.5880 -2.7772 -3.0580 -3.5219 -3.9431 -4.2544
-4.4802 -4.6938 -4.8586 -4.9319 -4.8647 -4.6206 -4.4131 -4.0163 -3.5341 -3.1373
-2.8199 -2.5331 -2.3194 -2.2706 -2.3683 -2.6368 -2.9848 -3.4975 -3.9125 -4.2910
-4.5046 -4.7244 -4.8586 -4.9746 -4.9685 -4.8037 -4.4985 -4.0590 -3.6196 -3.2716
-2.9848 -2.7101 -2.6063 -2.6490 -2.8322 -3.1557 -3.4609 -3.9431 -4.4375 -4.8586
-5.1699 -5.4141 -5.6888 -5.9329 -5.9329 -5.7498 -5.5362 -5.1822 -4.7732 -4.4558
-4.2727 -4.1628 -4.1262 -4.1262 -4.3093 -4.6999 -5.0845 -5.5850 -5.9879 -6.4090
-6.7203 -6.9706 -7.0805 -7.0499 -6.8180 -6.4762 -6.1405 -5.7193 -5.3042 -4.9929
-4.7854 -4.5657 -4.3947 -4.3520 -4.4009 -4.5657 -4.8098 -5.2981 -5.7742 -6.1832
-6.4396 -6.6715 -6.7875 -6.7570 -6.6715 -6.4518 -6.2625 -5.9024 -5.4507 -5.0845
-4.6999 -4.3459 -4.1628 -4.0957 -4.1384 -4.3276 -4.4985 -4.9319 -5.4141 -5.8292
-6.0733 -6.2198 -6.3175 -6.3358 -6.2747 -6.0245 -5.7620 -5.3653 -5.0479 -4.8037
-4.5046 -4.1750 -3.9553 -3.8698 -3.9614 -4.2238 -4.4741 -4.8709 -5.2737 -5.6583
-5.9512 -6.1954 -6.2564 -6.2076 -6.0977 -5.8170 -5.4690 -5.0173 -4.5779 -4.2544
-3.9797 -3.6928 -3.4548 -3.4609 -3.7538 -4.2666 -4.8098 -5.5911 -6.3907 -7.0988
-7.6237 -8.1181 -8.5271 -8.7346 -8.9055 -9.0154 -9.0703 -8.8384 -8.5393 -8.2524
-7.9228 -7.5932 -7.3551 -7.2941 -7.4833 -7.8373 -8.1425 -8.5210 -8.8018 -8.9910
-9.0276 -8.8567 -8.5820 -8.2951 -8.0266 -7.7336 -7.4101 -6.8851 -6.2320 -5.7864
-5.5301 -5.3042 -5.1394 -5.0479 -5.1272 -5.3958 -5.6216 -5.9879 -6.4029 -6.8424
-7.0805 -7.1476 -7.0805 -6.8912 -6.6105 -6.2320 -5.8658 -5.3897 -4.8525 -4.3642
-3.9553 -3.5951 -3.3937 -3.3144 -3.3998 -3.6562 -3.8820 -4.2605 -4.6328 -4.9990
-5.2127 -5.3409 -5.3225 -5.2249 -4.9929 -4.6328 -4.4009 -4.0773 -3.6745 -3.2716
-2.9359 -2.6185 -2.4049 -2.2645 -2.2279 -2.3927 -2.6307 -3.1373 -3.6928 -4.1750
-4.4253 -4.6206 -4.7060 -4.7060 -4.6267 -4.3703 -4.1201 -3.6501 -3.0031 -2.5453
-2.2767 -2.0509 -1.9471 -2.0325 -2.1546 -2.4659 -2.8261 -3.3632 -3.7538 -4.1506
-4.4009 -4.6084 -4.6999 -4.6938 -4.6023 -4.4314 -4.1933 -3.7966 -3.3632 -3.0702
-2.8871 -2.6673 -2.4903 -2.3927 -2.4720 -2.7406 -3.0763 -3.5341 -3.9736 -4.3642
-4.6389 -4.8586 -4.9441 -4.9441 -4.8342 -4.5473 -4.2605 -3.8759 -3.3754 -2.9542
-2.6612 -2.4476 -2.3316 -2.3866 -2.5697 -2.8444 -3.0336 -3.3998 -3.6745 -3.8942
-4.0102 -4.1262 -4.1933 -4.1872 -4.0835 -3.8027 -3.4364 -2.9054 -2.4598 -2.1424
-1.9532 -1.7945 -1.7090 -1.6785 -1.7823 -1.9593 -2.0936 -2.3927 -2.7040 -3.0153
-3.2961 -3.5463 -3.6562 -3.6745 -3.5402 -3.3022 -3.0580 -2.6429 -2.1912 -1.8433
-1.5686 -1.3489 -1.2207 -1.2146 -1.3123 -1.5748 -1.8494 -2.3561 -2.8688 -3.3266
-3.6135 -3.8393 -3.9675 -4.0285 -3.9980 -3.8637 -3.8027 -3.5890 -3.2655 -2.9970
-2.8383 -2.6735 -2.5941 -2.6124 -2.7589 -3.0763 -3.4242 -3.8698 -4.2727 -4.6938
-4.9746 -5.1699 -5.3470 -5.3958 -5.2920 -5.0662 -4.8647 -4.5657 -4.1506 -3.8454
-3.5585 -3.2899 -3.0702 -2.9420 -2.9359 -3.1190 -3.2716 -3.5402 -3.7233 -3.8698
-3.9309 -4.0285 -4.0712 -4.0163 -3.8698 -3.5707 -3.2594 -2.7833 -2.2584 -1.8128
-1.4588 -1.0864 -0.7568 -0.5371 -0.4455 -0.5493 -0.7202 -1.1048 -1.5015 -1.8616
-2.0875 -2.2767 -2.4049 -2.4720 -2.4110 -2.1668 -1.9044 -1.4588 -0.9705 -0.5859
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