Generate clusters of points which are periodically spaced

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supernoob
supernoob 2018-4-13
回答： Guillaume 2018-4-13
Hi there, I'd like to find an efficient way of generating clusters of points where each cluster is periodically spaced. So for example, say for a given frequency f I want to generate a little cluster of points, starting at t=0, at each half period with some spread in time. So the periodic spacing of my points is the period/2. The cluster could be, say, 6 points which are spread by, say the period/20. So if my frequency was 1 Hz, T/2 = 0.5s. I want to generate some 'time points' starting at t=0 which would have 3 points spaced by 0.5s/10, then centered at T/2 6 points spread by 0.5s/10, then again at T, then again at 3/2T until I reach a specified maximum time. I can think of some fairly burdensome brute force approaches to this problem but something more elegant and efficient would be appreciated. Thanks!

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Guillaume
Guillaume 2018-4-13
Generate your main period as a row vector, your cluster spread as a column vector of delta, add them and reshape into a vector and you're done:
mainperiod = 0.5;
clusterperiod = mainperiod / 20;
numpoints = 100;
halfclustercount = 3;
mainpoints = 0: mainperiod : mainperiod * (numpoints - 1);
clusterdelta = (-halfclustercount : halfclustercount) * clusterperiod;
fullvector = reshape(mainpoints + clusterdelta.', 1, [])

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