The autocorrelation coefficient formula of one-dimensional time series is as belows:

I want to know how to calculate the autocorrelation coefficient of multi-dimensional time series, such as(five dimensions):

1 2 3 4 5

2 3 4 5 6

3 4 5 6 7

1 2 3 4 6

2 3 4 5 7

1 2 3 4 7

4 5 6 7 8

5 6 7 8 9

4 5 6 7 9

3 4 5 6 8

...

Thanks in advance.

The autocorrelation coefficient formula of one-dimensional time series is as belows:

$r_k = {\sum\limits^{n-k}_{l=1}}(x_1-\bar x)(x_{l+k}-\bar x)/{\sum\limits^n_{l=1}}(x_l-\bar x)^2$

I want to know how to calculate the autocorrelation coefficient of multi-dimensional time series, such as(five dimensions):

1 2 3 4 5
2 3 4 5 6
3 4 5 6 7
1 2 3 4 6
2 3 4 5 7
1 2 3 4 7
4 5 6 7 8
5 6 7 8 9
4 5 6 7 9
3 4 5 6 8

Thanks in advance.