Plotting the summation of a Heaviside function
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How to plot the summation of a this Heaviside function, i.e : 
where 
are real positive parameters with 
and u as real variable.
where are real positive parameters with and u as real variable.2 个评论
Toder
2020-5-7
Hi Gill, what have you tried so far? Is n fixed? It may be helpful to expand the summation on paper to better see what's going on. You can also plug in some sample points to get an idea of how the function behaves. Let's call the whole summation 
. Without even choosing values for 
we can figure out what S is for choices of μ. Three interesting ones to compute might be
. Without even choosing values for we can figure out what S is for choices of μ. Three interesting ones to compute might be 
, 
Taking the time to figure these out will let us check the final plot once we make it. The documentation for the Heaviside function in Matlab can be found here.
Gill Judie
2020-5-9
采纳的回答
Ameer Hamza
2020-5-7
Try this
mu = sort(rand(5,1)); % random vectors of 5 \mu values in ascending order
x = linspace(0,1,1000); % values on x-axis
y = sum(heaviside(x-mu)); % command to create vector of heaviside and summing them
plot(x, y)
5 个评论
Gill Judie
2020-5-9
thank you for replying. i have tried to run this code on my Matlab but the following error message appeared
I'm if there is something wrong in my matlab?
Ameer Hamza
2020-5-9
Can you tell which MATLAB version are you using?
Ameer Hamza
2020-5-9
If you are using a version older than R2016b than try this code
mu = sort(rand(5,1)); % random vectors of 5 \mu values in ascending order
x = linspace(0,1,1000); % values on x-axis
X = bsxfun(@minus, x, mu);
y = sum(heaviside(X)); % command to create vector of heaviside and summing them
plot(x, y)
Gill Judie
2020-5-10
Ameer Hamza
2020-5-10
I am glad to be of help.
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