Hi Edward,
You may want to look into the Matlab cross-correlation function xcorr. You can call it with two output arguments to get a lag that will give you the time delay required to align the signals. Then, you can subtract the lagged signals such that they equal roughly zero. For example:
a = Signal1;
b = Signal2;
[r,lags] = xcorr(a,b);
% where r is the cross correlation coefficient and lags is the shift required to align the signals
You can then use the "lags" variable to delay one of your signals such that they are aligned. You may need to zero-pad your signals so you can shift them appropriately.