How to find the settling time

Hi,

Below is my time series data, and I want to find the settling time of each variable, column1 is time, column2~4 are my variables.

Criterion is: if standard deviation >=0.05 then it is called a change, want to catch where the data change is >=0.05(Stdev) and keep stable, then it is called settling time.

For example: v2 change twice and settled at two time (5sec & 15sec), where as v1 only settled at 7sec.

My definition of change: change from 0 to a constant value. v1 changed from 0 to 1 at 7sec, and keep very stable near 1.

Time  v1  v2  v3
1  0  0  0
2  0  0  0
3  0  0  0
4  0  0  0
5  0  1  1
6  0  1  1
7  1  1  1
8  0.989  1  1
9  0.979  1  1
10  0.988  1  1
11  0.999  0  0
12  1  0  0
13  1  0  0
14  1  0  0
15  1  1  0
16  1  1  0
17  1  1  0
18  1  1  0
19  1  1  1
20  1  1  1
21  1  1  1
22  1  1  1
23  1  1  1
24  1  1  1
25  1  1  1
26  1  1  1
27  1  1  1
28  1  1  1
29  1  1  1

I open to welcome if any other method to catch the settling time(s). Some variables change twice or thrice.

My desired output:

v1  7  
v2  5  15
v3  5  19

Answer 1

[Birdman]

SetTimeV1=find(diff(v1)>0.05)+1
SetTimeV2=find(diff(v2)>0.05)+1
SetTimeV3=find(diff(v3)>0.05)+1

[Mekala balaji]

Sir,

It works, can I ask little more, Now, I only considered the data settling based on just one point. Suppose, the above result is changed point, and if the diff from change point & consecutive 3points is equal, then I say it is settled. In the below data, The data changed at 5seconds, but change is just one point, and it does not keep stable for 3 consecutive points(6,7,8) it again changed at 8seconds, then keep stable upto 12 (9,10,11), then I considered as settled.

1  0
2  0
3  0
4  0
5  1
6  0
7  0
8  1
9  1
10  1
11  1
12  1
13  0
14  0
15  0
16  0
17  0
18  0
19  1
20  1
21  1
22  1
23  1
24  1
25  1
26  1
27  1
28  1
29  1

Desired output:

8
13
19

[Birdman]

Assume your second column is v:

ind=find(diff(v)~=0)+1;
ind(diff(ind)<3)=[]

[Mekala balaji]

Sir,

Its fine, one more thing I just seek your help, how do I know the order of variables settling time(meaning: The order of variables setting). Suppose variable3 (v3) settle first and variable1(v1) settled and then the last variable to settling is variable2 (v2).

[Birdman]

Do you mean that, your desired output can come as

19 8 13

instead of

8 13 19

?