Are you interpolating values? From your example, it appears you just want to assign the hourly value to each second in that hour.
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How to expand a matrix and interpolate between values?
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I have a .mat file that is a 3x2 array. The first column contains hourly data but I would like it to be seconds and interpolate the values in between.
An example would be:
Any help is very much appreciated.
2 Comments
Accepted Answer
Matt J
on 1 May 2025
Edited: Matt J
on 1 May 2025
T=timetable(hours([1;2;3]),[1.1,5.6,3.2]', ...
'DimensionNames',{'Time','Degrees C'}, ...
'VariableNames',{'Temp'})
T = 3x1 timetable
Time Temp
____ ____
1 hr 1.1
2 hr 5.6
3 hr 3.2
Tsec=retime(T,'secondly','linear');
Tsec.Time.Format='hh:mm:ss'; %cosmetic
Tsec
Tsec = 7201x1 timetable
Time Temp
________ ______
01:00:00 1.1
01:00:01 1.1013
01:00:02 1.1025
01:00:03 1.1038
01:00:04 1.105
01:00:05 1.1063
01:00:06 1.1075
01:00:07 1.1088
01:00:08 1.11
01:00:09 1.1113
01:00:10 1.1125
01:00:11 1.1138
01:00:12 1.115
01:00:13 1.1162
01:00:14 1.1175
01:00:15 1.1188
3 Comments
may95
on 1 May 2025
Hi! Thanks. Retime is exactly the function I need to use. However, I tried using retime with my .mat file but it does not interpolate the second column:
may95
on 1 May 2025
My bad, had to change "," to ".". This has solved my problem thank you very much!
More Answers (2)
Image Analyst
on 1 May 2025
Edited: Image Analyst
on 1 May 2025
I believe you can simply use interp1 if you have a matrix. Otherwise if you have a table, you can make the syntax changes necessary for a table, or convert the table to a matrix with table2array.
m = [1, 1.1;
2, 5.6
3, 3.2]
m = 3×2
1.0000 1.1000
2.0000 5.6000
3.0000 3.2000
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
% Get the beginning and ending hour.
firstHour = min(m(:, 1));
lastHour = max(m(:, 1));
% Make a vector for seconds for that number of elapsed hours.
secondsVector = 1 : 3600 * (lastHour - firstHour); % 1 on up to the max # of seconds.
% Interpolate missing/in-between values.
values = interp1(3600*(m(:, 1) - firstHour), m(:, 2), secondsVector);
% Optionally plot the values with the new seconds time axis.
plot(secondsVector, values, 'r.-')
% Put back into 2-D matrix if desired. Showing the first few rows below.
mSeconds = [secondsVector', values']
mSeconds = 7200×2
1.0000 1.1013
2.0000 1.1025
3.0000 1.1038
4.0000 1.1050
5.0000 1.1063
6.0000 1.1075
7.0000 1.1088
8.0000 1.1100
9.0000 1.1113
10.0000 1.1125
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
1 Comment
Star Strider
on 1 May 2025
This is frustrating.
The seconds function should automatically convert the hours to seconds and change the unit as well.
TimeTempT = table(hours([1;2;3]), [1.1; 5.6; 3.2], VariableNames=["Time (hours)","Degrees C"])
TimeTempT = 3x2 table
Time (hours) Degrees C
____________ _________
1 hr 1.1
2 hr 5.6
3 hr 3.2
TimeTempTTh = table2timetable(TimeTempT)
TimeTempTTh = 3x1 timetable
Time (hours) Degrees C
____________ _________
1 hr 1.1
2 hr 5.6
3 hr 3.2
TimeTempTTRTs = retime(TimeTempTTh, 'secondly', 'previous')
TimeTempTTRTs = 7201x1 timetable
Time (hours) Degrees C
____________ _________
1 hr 1.1
1.0003 hr 1.1
1.0006 hr 1.1
1.0008 hr 1.1
1.0011 hr 1.1
1.0014 hr 1.1
1.0017 hr 1.1
1.0019 hr 1.1
1.0022 hr 1.1
1.0025 hr 1.1
1.0028 hr 1.1
1.0031 hr 1.1
1.0033 hr 1.1
1.0036 hr 1.1
1.0039 hr 1.1
1.0042 hr 1.1
TimeTempTTRTs.("Time (hours)");
SzT = size(TimeTempTTRTs.("Time (hours)"))
SzT = 1×2
7201 1
<mw-icon class=""></mw-icon>
<mw-icon class=""></mw-icon>
Timev = duration([zeros(SzT) zeros(SzT) seconds(TimeTempTTRTs.("Time (hours)"))]);
Timev = (seconds(Timev - Timev(1)));
% Check_1 = Timev(3602)
TimeTempTRTs = table(Timev, TimeTempTTRTs.("Degrees C"), VariableNames=["Time (seconds)","Degrees C"]);
disp(TimeTempTRTs)
Time (seconds) Degrees C
______________ _________
0 1.1
1 1.1
2 1.1
3 1.1
4 1.1
5 1.1
6 1.1
7 1.1
8 1.1
9 1.1
10 1.1
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3413 1.1
3414 1.1
3415 1.1
3416 1.1
3417 1.1
3418 1.1
3419 1.1
3420 1.1
3421 1.1
3422 1.1
3423 1.1
3424 1.1
3425 1.1
3426 1.1
3427 1.1
3428 1.1
3429 1.1
3430 1.1
3431 1.1
3432 1.1
3433 1.1
3434 1.1
3435 1.1
3436 1.1
3437 1.1
3438 1.1
3439 1.1
3440 1.1
3441 1.1
3442 1.1
3443 1.1
3444 1.1
3445 1.1
3446 1.1
3447 1.1
3448 1.1
3449 1.1
3450 1.1
3451 1.1
3452 1.1
3453 1.1
3454 1.1
3455 1.1
3456 1.1
3457 1.1
3458 1.1
3459 1.1
3460 1.1
3461 1.1
3462 1.1
3463 1.1
3464 1.1
3465 1.1
3466 1.1
3467 1.1
3468 1.1
3469 1.1
3470 1.1
3471 1.1
3472 1.1
3473 1.1
3474 1.1
3475 1.1
3476 1.1
3477 1.1
3478 1.1
3479 1.1
3480 1.1
3481 1.1
3482 1.1
3483 1.1
3484 1.1
3485 1.1
3486 1.1
3487 1.1
3488 1.1
3489 1.1
3490 1.1
3491 1.1
3492 1.1
3493 1.1
3494 1.1
3495 1.1
3496 1.1
3497 1.1
3498 1.1
3499 1.1
3500 1.1
3501 1.1
3502 1.1
3503 1.1
3504 1.1
3505 1.1
3506 1.1
3507 1.1
3508 1.1
3509 1.1
3510 1.1
3511 1.1
3512 1.1
3513 1.1
3514 1.1
3515 1.1
3516 1.1
3517 1.1
3518 1.1
3519 1.1
3520 1.1
3521 1.1
3522 1.1
3523 1.1
3524 1.1
3525 1.1
3526 1.1
3527 1.1
3528 1.1
3529 1.1
3530 1.1
3531 1.1
3532 1.1
3533 1.1
3534 1.1
3535 1.1
3536 1.1
3537 1.1
3538 1.1
3539 1.1
3540 1.1
3541 1.1
3542 1.1
3543 1.1
3544 1.1
3545 1.1
3546 1.1
3547 1.1
3548 1.1
3549 1.1
3550 1.1
3551 1.1
3552 1.1
3553 1.1
3554 1.1
3555 1.1
3556 1.1
3557 1.1
3558 1.1
3559 1.1
3560 1.1
3561 1.1
3562 1.1
3563 1.1
3564 1.1
3565 1.1
3566 1.1
3567 1.1
3568 1.1
3569 1.1
3570 1.1
3571 1.1
3572 1.1
3573 1.1
3574 1.1
3575 1.1
3576 1.1
3577 1.1
3578 1.1
3579 1.1
3580 1.1
3581 1.1
3582 1.1
3583 1.1
3584 1.1
3585 1.1
3586 1.1
3587 1.1
3588 1.1
3589 1.1
3590 1.1
3591 1.1
3592 1.1
3593 1.1
3594 1.1
3595 1.1
3596 1.1
3597 1.1
3598 1.1
3599 1.1
3600 5.6
3601 5.6
3602 5.6
3603 5.6
3604 5.6
3605 5.6
3606 5.6
3607 5.6
3608 5.6
3609 5.6
3610 5.6
3611 5.6
3612 5.6
3613 5.6
3614 5.6
3615 5.6
3616 5.6
3617 5.6
3618 5.6
3619 5.6
3620 5.6
3621 5.6
3622 5.6
3623 5.6
3624 5.6
3625 5.6
3626 5.6
3627 5.6
3628 5.6
3629 5.6
3630 5.6
3631 5.6
3632 5.6
3633 5.6
3634 5.6
3635 5.6
3636 5.6
3637 5.6
3638 5.6
3639 5.6
3640 5.6
3641 5.6
3642 5.6
3643 5.6
3644 5.6
3645 5.6
3646 5.6
3647 5.6
3648 5.6
3649 5.6
3650 5.6
3651 5.6
3652 5.6
3653 5.6
3654 5.6
3655 5.6
3656 5.6
3657 5.6
3658 5.6
3659 5.6
3660 5.6
3661 5.6
3662 5.6
3663 5.6
3664 5.6
3665 5.6
3666 5.6
3667 5.6
3668 5.6
3669 5.6
3670 5.6
3671 5.6
3672 5.6
3673 5.6
3674 5.6
3675 5.6
3676 5.6
3677 5.6
3678 5.6
3679 5.6
3680 5.6
3681 5.6
3682 5.6
3683 5.6
3684 5.6
3685 5.6
3686 5.6
3687 5.6
3688 5.6
3689 5.6
3690 5.6
3691 5.6
3692 5.6
3693 5.6
3694 5.6
3695 5.6
3696 5.6
3697 5.6
3698 5.6
3699 5.6
3700 5.6
3701 5.6
3702 5.6
3703 5.6
3704 5.6
3705 5.6
3706 5.6
3707 5.6
3708 5.6
3709 5.6
3710 5.6
3711 5.6
3712 5.6
3713 5.6
3714 5.6
3715 5.6
3716 5.6
3717 5.6
3718 5.6
3719 5.6
3720 5.6
3721 5.6
3722 5.6
3723 5.6
3724 5.6
3725 5.6
3726 5.6
3727 5.6
3728 5.6
3729 5.6
3730 5.6
3731 5.6
3732 5.6
3733 5.6
3734 5.6
3735 5.6
3736 5.6
3737 5.6
3738 5.6
3739 5.6
3740 5.6
3741 5.6
3742 5.6
3743 5.6
3744 5.6
3745 5.6
3746 5.6
3747 5.6 ...
Check_2 = TimeTempTRTs(1: 3600 : end,:)
Check_2 = 3x2 table
Time (seconds) Degrees C
______________ _________
0 1.1
3600 5.6
7200 3.2
It simply should not be necessary to go through all this. The conversion should be straightforward.
.
6 Comments
Cris LaPierre
on 1 May 2025
I think the conversion is straightforward. I did discover that seconds converts between duration and numeric array rather than preserving duration, so I called it twice.
Time = [1;2;3];
Degrees = [1.1; 5.6; 3.2];
Th = timetable(hours(Time), Degrees)
Th = 3x1 timetable
Time Degrees
____ _______
1 hr 1.1
2 hr 5.6
3 hr 3.2
% convert to seconds
Th.Time = seconds(seconds(Th.Time - Th.Time(1)))
Th = 3x1 timetable
Time Degrees
________ _______
0 sec 1.1
3600 sec 5.6
7200 sec 3.2
% Interpolate
Ts = retime(Th, 'secondly', 'linear')
Ts = 7201x1 timetable
Time Degrees
______ _______
0 sec 1.1
1 sec 1.1013
2 sec 1.1025
3 sec 1.1038
4 sec 1.105
5 sec 1.1063
6 sec 1.1075
7 sec 1.1088
8 sec 1.11
9 sec 1.1113
10 sec 1.1125
11 sec 1.1138
12 sec 1.115
13 sec 1.1162
14 sec 1.1175
15 sec 1.1188
Star Strider
on 1 May 2025
Converting the hours to seconds first is definitely the way to go. Still, my original approach (interpolating using retime and then converting) should also work.
Steven Lord
on 1 May 2025
TimeTempT = table(hours([1;2;3]), [1.1; 5.6; 3.2], VariableNames=["Time (hours)","Degrees C"]);
TimeTempTTh = table2timetable(TimeTempT);
TimeTempTTRTs = retime(TimeTempTTh, 'secondly', 'previous');
head(TimeTempTTRTs) % Show just the first few rows in Answers
Time (hours) Degrees C
____________ _________
1 hr 1.1
1.0003 hr 1.1
1.0006 hr 1.1
1.0008 hr 1.1
1.0011 hr 1.1
1.0014 hr 1.1
1.0017 hr 1.1
1.0019 hr 1.1
You can change the display format of the variable in the timetable.
TimeTempTTRTs.("Time (hours)").Format = "s";
head(TimeTempTTRTs)
Time (hours) Degrees C
____________ _________
3600 sec 1.1
3601 sec 1.1
3602 sec 1.1
3603 sec 1.1
3604 sec 1.1
3605 sec 1.1
3606 sec 1.1
3607 sec 1.1
Star Strider
on 1 May 2025
Using the 'Format' property did not occur to me.
That definitely does what I want.
may95
on 1 May 2025
Thank you very much for your input! I will save your comment for future reference :)
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