Counting number of peaks in graph

Hi,
I have a large set of data which consists of only 0s and 1s, When plotting on a graph, the 1s represent peaks, but a single peak spans over a number of data points, and sometimes briefly drops to 0 but then continues. I cant figure out which function to use to count the number of peaks in my data, given that even if it drops to zero for a certain specified time frame, it still counts as one peak. Any help would be appreciated. Hope the example below helps:

Here, the time frame for 0s between two peaks to still count as one peak is 1 second
Time(s) Data
1 0
2 0
3 0
4 0
5 0
6 1 *
7 0 * PEAK 1
8 1 *
9 1 *
10 0
11 0
12 0
13 1 * PEAK 2
14 0
15 0
16 1 *
17 1 * PEAK 3
18 1 *
19 0
20 0
21 1 * PEAK 4
22 1 *
23 0
24 0

Try this array formula**:

=SUM(IF(FREQUENCY(IF(A2:A25=1,ROW(A2:A25)),IF(A2:A25<>1,ROW(A2:A25))),1))

** array formulas need to be entered using the key
combination of CTRL,SHIFT,ENTER (not just ENTER).
Hold down both the CTRL key and the SHIFT key
then hit ENTER.

Well, that changes things considerably.

At the moment I'm stumped!

The only thing I can think of is to use a helper column and then get the count from the helper column.

Assuming your data is in the range A2:A25.

Enter this formula in B2:

=A2

Enter this formula in B3 and copy down to B25:

=IF(A3=1,1,IF(AND(A2=1,A4=1),1,0))

Then, this array formula** to count the "peaks" in B2:B25:

=SUM(IF(FREQUENCY(IF(B2:B25=1,ROW(B2:B25)),IF(B2:B25<>1,ROW(B2:B25))),1))

** array formulas need to be entered using the key
combination of CTRL,SHIFT,ENTER (not just ENTER).
Hold down both the CTRL key and the SHIFT key
then hit ENTER.

Actually, all we're doing is counting how many groups of 1s there are. Each group has its peak so counting the number of groups also counts the number of peaks.

I used to work in a lab where we used xray fluorescence analysis. We had to identify "plateaus" rather than peaks. The plateau was never perfectly "flat".