Random Non-periodic waveform

How can I draw this waveform, it is a non periodic signal with the intervals like this {[1.54,2.49], [4.97,5.88], [6.69,7.98], [8.05,8.25],[8.58,9.09], [10.48,10.86], [11.16,12.97], [14.51,15.24],[15.38,15.60], [17.20,17.74], [19.16,22.38], [23.69,23.73],[24.59,25.47], [25.59,26.22], [26.65,29.27]}, these intervals are the starting and ending pionts of shaded area.

Answer 1

[Star Strider]

Try this:

C = {[1.54,2.49], [4.97,5.88], [6.69,7.98], [8.05,8.25],[8.58,9.09], [10.48,10.86], [11.16,12.97], [14.51,15.24],[15.38,15.60], [17.20,17.74], [19.16,22.38], [23.69,23.73],[24.59,25.47], [25.59,26.22], [26.65,29.27]};

figure
hold all
for k = 1:numel(C)
    patch([C{k} flip(C{k})], [0 0 1 1], [1 1 1]*0.8, 'EdgeColor','none')
end
hold off

It reproduces the image you posted, so I will not re-post it here.

EDIT — Added pulse train plot.

To draw it as a pulse train:

figure
hold all
for k = 1:numel(C)
    plot([[1 1]*C{k}(1) [1 1]*C{k}(2)], [0 1 1 0], 'k')
end
hold off
grid

.

[Muhammad Atif]

Thanks sir for your response, actually I want to plot this signal. The intervals was given as an example, In general how can creat this signal for time varying intervals for which it is '1'?

[Star Strider]

As always, my pleasure!

Unfortunately, I have no idea. That makes no sense to me, since I have no idea what the ‘g’ and ’b’ refer to.

[Muhammad Atif]

gn+bn=starting time of shaded pulse for which it is 1 and gn+1 is the ending point of the pulse, and these points will varry over the given interval 't', for instant t=30

[Star Strider]

I’m sorry. I still do not understand. What generates the ‘g’ and ‘b’ vectors?

[Muhammad Atif]

Brother I just need to create a random non-periodic waveform looks like the reference picture

[Star Strider]

I am still not certain what you want.

Try this:

N = 25;                                                                     % Number Of Segments
g = rand(1,N);
b = rand(1,N);
C = mat2cell([cumsum(g+b); cumsum(g+b)-b]', ones(1,size(g,2)), 2); 

figure
hold all
for k = 1:numel(C)
    patch([C{k} flip(C{k})], [0 0 1 1], [1 1 1]*0.8, 'EdgeColor','none')
end
hold off
set(gca,'Layer','top', 'Box','on')                                          % Put Axes On Top Of ‘patch’ Objects
legend('DoS')

figure
hold all
for k = 1:numel(C)
    plot([[1 1]*C{k}(1) [1 1]*C{k}(2)], [0 1 1 0], 'k')
end
hold off
grid

Answer 2

[Muhammad Atif]

Hi Sir,

Can I plot it by using ones and zeros function separately? I mean first define the duration for which it is one and then define the duration for which it is zero. After that add up them on the whole interval. Or any other method to do this, any loop(if-else) that can help to slove it more simply.

[Star Strider]

I do not understand what you want. The code I wrote is about as simple as I can create it, unless there is information about this that has so far not been posted. The loops are necessary because of the nature of the data. Each interval must be plotted individually in the patch call.